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11107950827127 = 373111795482427
BaseRepresentation
bin1010000110100100010101…
…1101101001011001110111
31110022220120012011212221220
42201221011131221121313
52423443040402432002
635342531104241423
72224344243111000
oct241510535513167
943286505155856
1011107950827127
1135a2945727120
1212b4966310273
1362762421ab1b
142a58b05401a7
15143e239297bc
hexa1a45769677

11107950827127 has 64 divisors (see below), whose sum is σ = 18947271168000. Its totient is φ = 5738126348640.

The previous prime is 11107950827069. The next prime is 11107950827137. The reversal of 11107950827127 is 72172805970111.

It is a happy number.

It is not a de Polignac number, because 11107950827127 - 26 = 11107950827063 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11107950827127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11107950827137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715113 + ... + 4767314.

It is an arithmetic number, because the mean of its divisors is an integer number (296051112000).

Almost surely, 211107950827127 is an apocalyptic number.

11107950827127 is a deficient number, since it is larger than the sum of its proper divisors (7839320340873).

11107950827127 is a wasteful number, since it uses less digits than its factorization.

11107950827127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482641 (or 5482627 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 51.

The spelling of 11107950827127 in words is "eleven trillion, one hundred seven billion, nine hundred fifty million, eight hundred twenty-seven thousand, one hundred twenty-seven".

Divisors: 1 3 7 11 21 33 49 77 147 179 231 343 537 539 1029 1253 1617 1969 3759 3773 5907 8771 11319 13783 26313 41349 61397 96481 184191 289443 675367 2026101 5482427 16447281 38376989 60306697 115130967 180920091 268638923 422146879 805916769 981354433 1266440637 1880472461 2944063299 2955028153 5641417383 6869481031 8865084459 10794898763 20608443093 20685197071 32384696289 48086367217 62055591213 75564291341 144259101651 226692874023 336604570519 528950039387 1009813711557 1586850118161 3702650275709 11107950827127