Search a number
-
+
32111011312100 = 22527113405954631
BaseRepresentation
bin1110100110100011011010…
…11011000011000111100100
311012200210010120220120012222
413103101231123003013210
513202101322343441400
6152143332301531512
76522641536441430
oct723215533030744
9135623116816188
1032111011312100
11a260226831776
1237273b4873b98
1314bc09486b536
147d02774739c0
153aa433a67185
hex1d346d6c31e4

32111011312100 has 72 divisors (see below), whose sum is σ = 80340045491328. Its totient is φ = 10912060454400.

The previous prime is 32111011312087. The next prime is 32111011312169. The reversal of 32111011312100 is 121311011123.

32111011312100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×321110113121002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202898216 + ... + 203056415.

Almost surely, 232111011312100 is an apocalyptic number.

It is an amenable number.

32111011312100 is an abundant number, since it is smaller than the sum of its proper divisors (48229034179228).

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

32111011312100 is a wasteful number, since it uses less digits than its factorization.

32111011312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405954765 (or 405954758 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 32111011312100 its reverse (121311011123), we get a palindrome (32232322323223).

The spelling of 32111011312100 in words is "thirty-two trillion, one hundred eleven billion, eleven million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 113 140 175 226 350 452 565 700 791 1130 1582 2260 2825 3164 3955 5650 7910 11300 15820 19775 39550 79100 405954631 811909262 1623818524 2029773155 2841682417 4059546310 5683364834 8119092620 10148865775 11366729668 14208412085 20297731550 28416824170 40595463100 45872873303 56833648340 71042060425 91745746606 142084120850 183491493212 229364366515 284168241700 321110113121 458728733030 642220226242 917457466060 1146821832575 1284440452484 1605550565605 2293643665150 3211101131210 4587287330300 6422202262420 8027752828025 16055505656050 32111011312100