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1000111999992 = 233767229338749
BaseRepresentation
bin11101000110110110101…
…00100000101111111000
310112121110112011121120220
432203123110200233320
5112341212132444432
62043240051020040
7132153464510430
oct16433324405770
93477415147526
101000111999992
11356166173176
121419b359a620
1373405551321
143659727d2c0
151b0364db72c
hexe8db520bf8

1000111999992 has 128 divisors (see below), whose sum is σ = 2901451200000. Its totient is φ = 281351397888.

The previous prime is 1000111999949. The next prime is 1000111999993. The reversal of 1000111999992 is 2999991110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111999993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25790634 + ... + 25829382.

It is an arithmetic number, because the mean of its divisors is an integer number (22667587500).

Almost surely, 21000111999992 is an apocalyptic number.

1000111999992 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 1000111999992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450725600000).

1000111999992 is an abundant number, since it is smaller than the sum of its proper divisors (1901339200008).

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

1000111999992 is a wasteful number, since it uses less digits than its factorization.

1000111999992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41125 (or 41121 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 51.

The spelling of 1000111999992 in words is "one trillion, one hundred eleven million, nine hundred ninety-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2293 2814 3752 4586 5628 6879 9172 11256 13758 16051 18344 27516 32102 38749 48153 55032 64204 77498 96306 116247 128408 153631 154996 192612 232494 271243 307262 309992 385224 460893 464988 542486 614524 813729 921786 929976 1075417 1084972 1229048 1627458 1843572 2150834 2169944 2596183 3226251 3254916 3687144 4301668 5192366 6452502 6509832 7788549 8603336 10384732 12905004 15577098 18173281 20769464 25810008 31154196 36346562 54519843 62308392 72693124 88851457 109039686 145386248 177702914 218079372 266554371 355405828 436158744 533108742 621960199 710811656 1066217484 1243920398 1865880597 2132434968 2487840796 3731761194 4975681592 5953047619 7463522388 11906095238 14927044776 17859142857 23812190476 35718285714 41671333333 47624380952 71436571428 83342666666 125013999999 142873142856 166685333332 250027999998 333370666664 500055999996 1000111999992