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11104193331 = 32711172413911
BaseRepresentation
bin10100101011101110…
…01000101100110011
31001122212111110121200
422111313020230303
5140220133141311
65033505222243
7542113041330
oct122567105463
931585443550
1011104193331
114789033890
12219a931983
13107c6a89ca
14774a73987
1544ecc1556
hex295dc8b33

11104193331 has 96 divisors (see below), whose sum is σ = 21266758656. Its totient is φ = 5405184000.

The previous prime is 11104193329. The next prime is 11104193333. The reversal of 11104193331 is 13339140111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11104193329) and next prime (11104193333).

It is not a de Polignac number, because 11104193331 - 21 = 11104193329 is a prime.

It is a super-2 number, since 2×111041933312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11104193295 and 11104193304.

It is not an unprimeable number, because it can be changed into a prime (11104193333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2837266 + ... + 2841176.

It is an arithmetic number, because the mean of its divisors is an integer number (221528736).

Almost surely, 211104193331 is an apocalyptic number.

11104193331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11104193331 is a deficient number, since it is larger than the sum of its proper divisors (10162565325).

11104193331 is a wasteful number, since it uses less digits than its factorization.

11104193331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11104193331 in words is "eleven billion, one hundred four million, one hundred ninety-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 241 357 561 693 723 1071 1309 1683 1687 2169 2651 3911 3927 4097 5061 7953 11733 11781 12291 15183 18557 23859 27377 28679 35199 36873 43021 45067 55671 66487 82131 86037 129063 135201 167013 199461 246393 258111 301147 315469 387189 405603 465409 598383 731357 903441 942551 946407 1396227 2194071 2710323 2827653 2839221 4188681 5119499 6582213 6597857 8482959 10368061 15358497 16023367 19793571 31104183 46075491 48070101 59380713 72576427 93312549 112163569 144210303 176257037 217729281 336490707 528771111 653187843 1009472121 1233799259 1586313333 3701397777 11104193331