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1107152328912 = 24372895289079
BaseRepresentation
bin10000000111000111011…
…010111101100011010000
310220211202100102201111120
4100013013122331203100
5121114421444011122
62204341352442240
7142663160343300
oct20070732754320
93824670381446
101107152328912
113975a4698623
1215a6a70a9380
1380533817166
143b82d357600
151dbed85975c
hex101c76bd8d0

1107152328912 has 120 divisors (see below), whose sum is σ = 3364489569600. Its totient is φ = 312774916608.

The previous prime is 1107152328881. The next prime is 1107152328941. The reversal of 1107152328912 is 2198232517011.

It is a super-2 number, since 2×11071523289122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2435212 + ... + 2853867.

It is an arithmetic number, because the mean of its divisors is an integer number (28037413080).

Almost surely, 21107152328912 is an apocalyptic number.

1107152328912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1107152328912 is an abundant number, since it is smaller than the sum of its proper divisors (2257337240688).

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

1107152328912 is a wasteful number, since it uses less digits than its factorization.

1107152328912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289193 (or 5289180 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 1107152328912 in words is "one trillion, one hundred seven billion, one hundred fifty-two million, three hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 89 98 112 147 168 178 196 267 294 336 356 392 534 588 623 712 784 1068 1176 1246 1424 1869 2136 2352 2492 3738 4272 4361 4984 7476 8722 9968 13083 14952 17444 26166 29904 34888 52332 69776 104664 209328 5289079 10578158 15867237 21156316 31734474 37023553 42312632 63468948 74047106 84625264 111070659 126937896 148094212 222141318 253875792 259164871 296188424 444282636 470728031 518329742 592376848 777494613 888565272 941456062 1036659484 1412184093 1554989226 1777130544 1882912124 2073318968 2824368186 3109978452 3295096217 3765824248 4146637936 5648736372 6219956904 6590192434 7531648496 9885288651 11297472744 12439913808 13180384868 19770577302 22594945488 23065673519 26360769736 39541154604 46131347038 52721539472 69197020557 79082309208 92262694076 138394041114 158164618416 184525388152 276788082228 369050776304 553576164456 1107152328912