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111332444112 = 2433376965243
BaseRepresentation
bin110011110101111101…
…1100100011111010000
3101122100221122011002000
41213223323210133100
53311002101202422
6123051224354000
711020631106111
oct1475373443720
9348327564060
10111332444112
114324129809a
12196b1015900
13a663584486
14556214c208
152d69095cac
hex19ebee47d0

111332444112 has 80 divisors (see below), whose sum is σ = 328202297280. Its totient is φ = 36107814528.

The previous prime is 111332444089. The next prime is 111332444131. The reversal of 111332444112 is 211444233111.

It is a happy number.

111332444112 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 3 + 244 + 411 + 2 = 666.

It is a super-2 number, since 2×1113324441122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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, 3466638 + ... + 3498605.

It is an arithmetic number, because the mean of its divisors is an integer number (4102528716).

Almost surely, 2111332444112 is an apocalyptic number.

111332444112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111332444112 is an abundant number, since it is smaller than the sum of its proper divisors (216869853168).

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

111332444112 is a wasteful number, since it uses less digits than its factorization.

111332444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6965297 (or 6965285 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 111332444112 its reverse (211444233111), we get a palindrome (322776677223).

The spelling of 111332444112 in words is "one hundred eleven billion, three hundred thirty-two million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 7992 15984 6965243 13930486 20895729 27860972 41791458 55721944 62687187 83582916 111443888 125374374 167165832 188061561 250748748 257713991 334331664 376123122 501497496 515427982 752246244 773141973 1002994992 1030855964 1504492488 1546283946 2061711928 2319425919 3008984976 3092567892 4123423856 4638851838 6185135784 6958277757 9277703676 12370271568 13916555514 18555407352 27833111028 37110814704 55666222056 111332444112