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11324131119 = 32719131257281
BaseRepresentation
bin10101000101111100…
…01000011100101111
31002020012100110112200
422202332020130233
5141142434143434
65111403232543
7550423345350
oct124276103457
932205313480
1011324131119
1148911a4354
122240518753
1310b6124002
14795d65d27
15464268199
hex2a2f8872f

11324131119 has 96 divisors (see below), whose sum is σ = 19975887360. Its totient is φ = 6038323200.

The previous prime is 11324131109. The next prime is 11324131123. The reversal of 11324131119 is 91113142311.

11324131119 is a `hidden beast` number, since 1 + 132 + 413 + 1 + 119 = 666.

It is not a de Polignac number, because 11324131119 - 28 = 11324130863 is a prime.

It is a super-2 number, since 2×113241311192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11324131092 and 11324131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324131109) 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, 40299259 + ... + 40299539.

It is an arithmetic number, because the mean of its divisors is an integer number (208082160).

Almost surely, 211324131119 is an apocalyptic number.

11324131119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11324131119 is a deficient number, since it is larger than the sum of its proper divisors (8651756241).

11324131119 is a wasteful number, since it uses less digits than its factorization.

11324131119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 698 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The spelling of 11324131119 in words is "eleven billion, three hundred twenty-four million, one hundred thirty-one thousand, one hundred nineteen".

Divisors: 1 3 7 9 19 21 57 63 131 133 171 257 281 393 399 771 843 917 1179 1197 1799 1967 2313 2489 2529 2751 4883 5339 5397 5901 7467 8253 14649 16017 16191 17423 17703 22401 33667 34181 36811 37373 43947 48051 52269 72217 101001 102543 110433 112119 156807 216651 235669 257677 303003 307629 331299 336357 505519 639673 649953 699409 707007 773031 1372123 1516557 1919019 2098227 2121021 2319093 4116369 4477711 4549671 4895863 5757057 6294681 9460427 9604861 12349107 13433133 14687589 28381281 28814583 40299399 44062767 66222989 85143843 86443749 179748113 198668967 539244339 596006901 1258236791 1617733017 3774710373 11324131119