Search a number
-
+
112110021212020 = 225132101929353501
BaseRepresentation
bin11001011111011010100101…
…111111010111011101110100
3112200221121120010201021212121
4121133122211333113131310
5104143302310412241040
61034234344401125324
732420452560062656
oct3137324577273564
9480847503637777
10112110021212020
11327a36582a9a87
12106a780b329844
134a72c1154b700
141d982227366d6
15ce638b5c7c4a
hex65f6a5fd7774

112110021212020 has 144 divisors (see below), whose sum is σ = 257736173047920. Its totient is φ = 40940390400000.

The previous prime is 112110021211963. The next prime is 112110021212069. The reversal of 112110021212020 is 20212120011211.

It can be written as a sum of positive squares in 24 ways, for example, as 93236713799056 + 18873307412964 = 9655916^2 + 4344342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112110021211985 and 112110021212003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316965270 + ... + 317318770.

It is an arithmetic number, because the mean of its divisors is an integer number (1789834535055).

Almost surely, 2112110021212020 is an apocalyptic number.

112110021212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112110021212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128868086523960).

112110021212020 is an abundant number, since it is smaller than the sum of its proper divisors (145626151835900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112110021212020 is a wasteful number, since it uses less digits than its factorization.

112110021212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354566 (or 354551 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112110021212020 its reverse (20212120011211), we get a palindrome (132322141223231).

The spelling of 112110021212020 in words is "one hundred twelve trillion, one hundred ten billion, twenty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 169 202 260 338 404 505 676 845 929 1010 1313 1690 1858 2020 2626 3380 3716 4645 5252 6565 9290 12077 13130 17069 18580 24154 26260 34138 48308 60385 68276 85345 93829 120770 157001 170690 187658 241540 314002 341380 353501 375316 469145 628004 707002 785005 938290 1219777 1414004 1570010 1767505 1876580 2439554 3140020 3535010 4595513 4879108 6098885 7070020 9191026 12197770 15857101 18382052 22977565 24395540 31714202 35703601 45955130 59741669 63428404 71407202 79285505 91910260 119483338 142814404 158571010 178518005 238966676 298708345 317142020 328402429 357036010 464146813 597416690 656804858 714072020 928293626 1194833380 1313609716 1642012145 1856587252 2320734065 3284024290 4269231577 4641468130 6033908569 6568048580 8538463154 9282936260 12067817138 17076926308 21346157885 24135634276 30169542845 33168645329 42692315770 55500010501 60339085690 66337290658 85384631540 111000021002 120678171380 132674581316 165843226645 222000042004 277500052505 331686453290 431192389277 555000105010 663372906580 862384778554 1110000210020 1724769557108 2155961946385 4311923892770 5605501060601 8623847785540 11211002121202 22422004242404 28027505303005 56055010606010 112110021212020