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11900111109975 = 345211534236189
BaseRepresentation
bin1010110100101011010111…
…1001010011111101010111
31120010122021012111201210000
42231022311321103331113
53024432411421004400
641150500252302343
72335516563320544
oct255126571237527
946118235451700
1011900111109975
113878899539330
1214023a31719b3
13684238c137ba
142d1d7b601bcb
15159838832600
hexad2b5e53f57

11900111109975 has 60 divisors (see below), whose sum is σ = 24047039384280. Its totient is φ = 5769750830400.

The previous prime is 11900111109911. The next prime is 11900111110003. The reversal of 11900111109975 is 57990111100911.

It is not a de Polignac number, because 11900111109975 - 26 = 11900111109911 is a prime.

It is a super-2 number, since 2×119001111099752 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11900111109975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 267095820 + ... + 267140369.

It is an arithmetic number, because the mean of its divisors is an integer number (400783989738).

Almost surely, 211900111109975 is an apocalyptic number.

11900111109975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11900111109975 is an abundant number, since it is smaller than the sum of its proper divisors (12146928274305).

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

11900111109975 is a wasteful number, since it uses less digits than its factorization.

11900111109975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534236222 (or 534236208 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 45.

The spelling of 11900111109975 in words is "eleven trillion, nine hundred billion, one hundred eleven million, one hundred nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 2025 2475 4455 7425 22275 534236189 1602708567 2671180945 4808125701 5876598079 8013542835 13355904725 14424377103 17629794237 24040628505 29382990395 40067714175 43273131309 52889382711 72121885515 88148971185 120203142525 146914951975 158668148133 216365656545 264446913555 360609427575 440744855925 476004444399 793340740665 1081828282725 1322234567775 2380022221995 3966703703325 11900111109975