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112211155104 = 2532997415523
BaseRepresentation
bin110100010000001001…
…1100101100010100000
3101201122012002021221120
41220200103211202200
53314302023430404
6123314334252240
711051461036536
oct1504023454240
9351565067846
10112211155104
11436522a9724
12198b7357080
13a773635ac9
145606b26156
152dbb2b99d9
hex1a204e58a0

112211155104 has 96 divisors (see below), whose sum is σ = 307853421120. Its totient is φ = 35741540352.

The previous prime is 112211154977. The next prime is 112211155123. The reversal of 112211155104 is 401551112211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62287 + ... + 477809.

It is an arithmetic number, because the mean of its divisors is an integer number (3206806470).

Almost surely, 2112211155104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112211155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153926710560).

112211155104 is an abundant number, since it is smaller than the sum of its proper divisors (195642266016).

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

112211155104 is a wasteful number, since it uses less digits than its factorization.

112211155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415662 (or 415654 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

Adding to 112211155104 its reverse (401551112211), we get a palindrome (513762267315).

The spelling of 112211155104 in words is "one hundred twelve billion, two hundred eleven million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 97 116 174 194 232 291 348 388 464 582 696 776 928 1164 1392 1552 2328 2784 2813 3104 4656 5626 8439 9312 11252 16878 22504 33756 45008 67512 90016 135024 270048 415523 831046 1246569 1662092 2493138 3324184 4986276 6648368 9972552 12050167 13296736 19945104 24100334 36150501 39890208 40305731 48200668 72301002 80611462 96401336 120917193 144602004 161222924 192802672 241834386 289204008 322445848 385605344 483668772 578408016 644891696 967337544 1156816032 1168866199 1289783392 1934675088 2337732398 3506598597 3869350176 4675464796 7013197194 9350929592 14026394388 18701859184 28052788776 37403718368 56105577552 112211155104