Search a number
-
+
112032343230020 = 22517547739815141
BaseRepresentation
bin11001011110010010010000…
…000001011000011001000100
3112200200012001121212221202022
4121132102100001120121010
5104141014214331330040
61034134540432302312
732412032622115103
oct3136222001303104
9480605047787668
10112032343230020
1132773717092444
12106947510a1998
134a687b24ca855
141d9457411c03a
15ce4341dc96b5
hex65e490058644

112032343230020 has 96 divisors (see below), whose sum is σ = 249900626183040. Its totient is φ = 42042756188160.

The previous prime is 112032343229987. The next prime is 112032343230061. The reversal of 112032343230020 is 20032343230211.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137031650 + ... + 137846790.

It is an arithmetic number, because the mean of its divisors is an integer number (2603131522740).

Almost surely, 2112032343230020 is an apocalyptic number.

112032343230020 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 112032343230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124950313091520).

112032343230020 is an abundant number, since it is smaller than the sum of its proper divisors (137868282953020).

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

112032343230020 is a wasteful number, since it uses less digits than its factorization.

112032343230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816453 (or 816451 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 112032343230020 its reverse (20032343230211), we get a palindrome (132064686460231).

The spelling of 112032343230020 in words is "one hundred twelve trillion, thirty-two billion, three hundred forty-three million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 547 739 1094 1478 2188 2735 2956 3695 5470 7390 9299 10940 12563 14780 18598 25126 37196 46495 50252 62815 92990 125630 185980 251260 404233 808466 815141 1616932 1630282 2021165 3260564 4042330 4075705 6871961 8084660 8151410 13743922 13857397 16302820 27487844 27714794 34359805 55429588 68719610 69286985 137439220 138573970 277147940 445882127 602389199 891764254 1204778398 1783528508 2229410635 2409556796 3011945995 4458821270 6023891990 7579996159 8917642540 10240616383 12047783980 15159992318 20481232766 30319984636 37899980795 40962465532 51203081915 75799961590 102406163830 151599923180 204812327660 329506891853 659013783706 1318027567412 1647534459265 3295068918530 5601617161501 6590137837060 11203234323002 22406468646004 28008085807505 56016171615010 112032343230020