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1112003133312 = 27343660710193
BaseRepresentation
bin10000001011101000100…
…011010011111110000000
310221022021102002010011210
4100023220203103332000
5121204340300231222
62210502554210120
7143224321451211
oct20135043237600
93838242063153
101112003133312
11399663862785
1215b61b723940
1380b27799016
143bb6d69d408
151ddd463ed0c
hex102e88d3f80

1112003133312 has 128 divisors (see below), whose sum is σ = 3023204405760. Its totient is φ = 361957220352.

The previous prime is 1112003133301. The next prime is 1112003133331. The reversal of 1112003133312 is 2133313002111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109089688 + ... + 109099880.

It is an arithmetic number, because the mean of its divisors is an integer number (23618784420).

Almost surely, 21112003133312 is an apocalyptic number.

1112003133312 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 1112003133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511602202880).

1112003133312 is an abundant number, since it is smaller than the sum of its proper divisors (1911201272448).

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

1112003133312 is a wasteful number, since it uses less digits than its factorization.

1112003133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16860 (or 16848 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1112003133312 its reverse (2133313002111), we get a palindrome (3245316135423).

The spelling of 1112003133312 in words is "one trillion, one hundred twelve billion, three million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 6607 8256 10193 13214 16512 19821 20386 26428 30579 39642 40772 52856 61158 79284 81544 105712 122316 158568 163088 211424 244632 284101 317136 326176 422848 438299 489264 568202 634272 652352 845696 852303 876598 978528 1136404 1268544 1304704 1314897 1704606 1753196 1957056 2272808 2537088 2629794 3409212 3506392 3914112 4545616 5259588 6818424 7012784 9091232 10519176 13636848 14025568 18182464 21038352 27273696 28051136 36364928 42076704 54547392 56102272 67345151 84153408 109094784 134690302 168306816 202035453 269380604 404070906 538761208 808141812 1077522416 1616283624 2155044832 2895841493 3232567248 4310089664 5791682986 6465134496 8620179328 8687524479 11583365972 12930268992 17375048958 23166731944 25860537984 34750097916 46333463888 69500195832 92666927776 139000391664 185333855552 278000783328 370667711104 556001566656 1112003133312