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112311214133232 = 24319373932936149
BaseRepresentation
bin11001100010010101111110…
…000001011100111111110000
3112201122211212121200122122010
4121202111332001130333300
5104210101331304230412
61034511020503442520
732441134404513252
oct3142257601347760
9481584777618563
10112311214133232
1132870a11481584
121071a7ba456440
134a88b95a5400a
141da3c6b023cd2
15ceb71463a33c
hex66257e05cff0

112311214133232 has 80 divisors (see below), whose sum is σ = 305489378480000. Its totient is φ = 35457212512512.

The previous prime is 112311214133171. The next prime is 112311214133291. The reversal of 112311214133232 is 232331412113211.

It is a super-2 number, since 2×1123112141332322 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112311214133232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13058107 + ... + 19878042.

It is an arithmetic number, because the mean of its divisors is an integer number (3818617231000).

Almost surely, 2112311214133232 is an apocalyptic number.

112311214133232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112311214133232 is an abundant number, since it is smaller than the sum of its proper divisors (193178164346768).

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

112311214133232 is a wasteful number, since it uses less digits than its factorization.

112311214133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32939918 (or 32939912 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

Adding to 112311214133232 its reverse (232331412113211), we get a palindrome (344642626246443).

The spelling of 112311214133232 in words is "one hundred twelve trillion, three hundred eleven billion, two hundred fourteen million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 3739 7478 11217 14956 22434 29912 44868 59824 71041 89736 142082 179472 213123 284164 426246 568328 852492 1136656 1704984 3409968 32936149 65872298 98808447 131744596 197616894 263489192 395233788 526978384 625786831 790467576 1251573662 1580935152 1877360493 2503147324 3754720986 5006294648 7509441972 10012589296 15018883944 30037767888 123148261111 246296522222 369444783333 492593044444 738889566666 985186088888 1477779133332 1970372177776 2339816961109 2955558266664 4679633922218 5911116533328 7019450883327 9359267844436 14038901766654 18718535688872 28077803533308 37437071377744 56155607066616 112311214133232