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11131550001 = 32112135913327
BaseRepresentation
bin10100101110111110…
…11111100100110001
31001201202222022220200
422113133133210301
5140244134100001
65040323425413
7542564420355
oct122737374461
931652868820
1011131550001
1147a2519300
1221a7b25269
1310852667a0
14778555465
154523c7086
hex2977df931

11131550001 has 72 divisors (see below), whose sum is σ = 19357054080. Its totient is φ = 6121431360.

The previous prime is 11131549993. The next prime is 11131550039. The reversal of 11131550001 is 10005513111.

11131550001 is a `hidden beast` number, since 1 + 113 + 1 + 550 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 11131550001 - 23 = 11131549993 is a prime.

It is a super-2 number, since 2×111315500012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11131550701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 828600 + ... + 841926.

Almost surely, 211131550001 is an apocalyptic number.

11131550001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11131550001 is a deficient number, since it is larger than the sum of its proper divisors (8225504079).

11131550001 is a wasteful number, since it uses less digits than its factorization.

11131550001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13427 (or 13413 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The spelling of 11131550001 in words is "eleven billion, one hundred thirty-one million, five hundred fifty thousand, one".

Divisors: 1 3 9 11 13 33 39 59 99 117 121 143 177 363 429 531 649 767 1089 1287 1573 1947 2301 4719 5841 6903 7139 8437 13327 14157 21417 25311 39981 64251 75933 92807 119943 146597 173251 278421 439791 519753 786293 835263 1319373 1559259 1612567 1905761 2358879 4837701 5717283 7076637 8649223 10221809 14513103 17151849 20963371 25947669 30665427 62890113 77843007 91996281 95141453 112439899 188670339 285424359 337319697 856273077 1011959091 1236838889 3710516667 11131550001