Search a number
-
+
11212122101220 = 22325371683501817
BaseRepresentation
bin1010001100101000011010…
…0011100001010111100100
31110200212110001210220112200
42203022012203201113210
52432144411224214340
635502440000214500
72235022560246315
oct243120643412744
943625401726480
1011212122101220
113633041699187
121310b9900a430
136343b5c89191
142aa95357a60c
151469bde6c330
hexa32868e15e4

11212122101220 has 72 divisors (see below), whose sum is σ = 34929295719864. Its totient is φ = 2909091138048.

The previous prime is 11212122101197. The next prime is 11212122101221. The reversal of 11212122101220 is 2210122121211.

11212122101220 is a `hidden beast` number, since 1 + 1 + 21 + 212 + 210 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2764158955776 + 8447963145444 = 1662576^2 + 2906538^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11212122101193 and 11212122101202.

It is not an unprimeable number, because it can be changed into a prime (11212122101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841744249 + ... + 841757568.

Almost surely, 211212122101220 is an apocalyptic number.

11212122101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212122101220 is an abundant number, since it is smaller than the sum of its proper divisors (23717173618644).

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

11212122101220 is a wasteful number, since it uses less digits than its factorization.

11212122101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683501869 (or 1683501864 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11212122101220 its reverse (2210122121211), we get a palindrome (13422244222431).

The spelling of 11212122101220 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 1683501817 3367003634 5050505451 6734007268 8417509085 10101010902 15151516353 16835018170 20202021804 25252527255 30303032706 33670036340 50505054510 60606065412 62289567229 75757581765 101010109020 124579134458 151515163530 186868701687 249158268916 303030327060 311447836145 373737403374 560606105061 622895672290 747474806748 934343508435 1121212210122 1245791344580 1868687016870 2242424420244 2803030525305 3737374033740 5606061050610 11212122101220