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111344625132 = 223131952172103
BaseRepresentation
bin110011110110010101…
…0000010010111101100
3101122101210120000021220
41213230222002113230
53311013211001012
6123052341423340
711021136461226
oct1475452022754
9348353500256
10111344625132
1143248157954
12196b510ab50
13a665c5a990
1455639dd416
152d6a1a008c
hex19eca825ec

111344625132 has 96 divisors (see below), whose sum is σ = 295084177920. Its totient is φ = 32393986560.

The previous prime is 111344625109. The next prime is 111344625143. The reversal of 111344625132 is 231526443111.

It is a junction number, because it is equal to n+sod(n) for n = 111344625093 and 111344625102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1508193 + ... + 1580295.

It is an arithmetic number, because the mean of its divisors is an integer number (3073793520).

Almost surely, 2111344625132 is an apocalyptic number.

111344625132 is a gapful number since it is divisible by the number (12) 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 111344625132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147542088960).

111344625132 is an abundant number, since it is smaller than the sum of its proper divisors (183739552788).

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

111344625132 is a wasteful number, since it uses less digits than its factorization.

111344625132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72663 (or 72661 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The spelling of 111344625132 in words is "one hundred eleven billion, three hundred forty-four million, six hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 521 741 988 1042 1482 1563 2084 2964 3126 6252 6773 9899 13546 19798 20319 27092 29697 39596 40638 59394 72103 81276 118788 128687 144206 216309 257374 288412 386061 432618 514748 772122 865236 937339 1369957 1544244 1874678 2739914 2812017 3749356 4109871 5479828 5624034 8219742 11248068 16439484 17809441 35618882 37565663 53428323 71237764 75131326 106856646 112696989 150262652 213713292 225393978 450787956 488353619 713747597 976707238 1427495194 1465060857 1953414476 2141242791 2854990388 2930121714 4282485582 5860243428 8564971164 9278718761 18557437522 27836156283 37114875044 55672312566 111344625132