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11133022032 = 24321119369917
BaseRepresentation
bin10100101111001010…
…00110111101010000
31001201212202010011100
422113211012331100
5140300023201112
65040415144400
7542613061116
oct122745067520
931655663140
1011133022032
1147a3334260
1221a8515100
131085660802
14778819ab6
154525b82dc
hex297946f50

11133022032 has 120 divisors (see below), whose sum is σ = 35778468960. Its totient is φ = 3196074240.

The previous prime is 11133022003. The next prime is 11133022037. The reversal of 11133022032 is 23022033111.

11133022032 is a `hidden beast` number, since 111 + 330 + 220 + 3 + 2 = 666.

11133022032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11133021996 and 11133022014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133022037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154863 + ... + 215054.

It is an arithmetic number, because the mean of its divisors is an integer number (298153908).

Almost surely, 211133022032 is an apocalyptic number.

11133022032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11133022032 is an abundant number, since it is smaller than the sum of its proper divisors (24645446928).

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

11133022032 is a wasteful number, since it uses less digits than its factorization.

11133022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369961 (or 369952 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11133022032 its reverse (23022033111), we get a palindrome (34155055143).

The spelling of 11133022032 in words is "eleven billion, one hundred thirty-three million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096 369917 739834 1109751 1479668 2219502 2959336 3329253 4069087 4439004 5918672 6658506 7028423 8138174 8878008 12207261 13317012 14056846 16276348 17756016 21085269 24414522 26634024 28113692 32552696 36621783 42170538 48829044 53268048 56227384 63255807 65105392 73243566 77312653 84341076 97658088 112454768 126511614 146487132 154625306 168682152 195316176 231937959 253023228 292974264 309250612 337364304 463875918 506046456 585948528 618501224 695813877 927751836 1012092912 1237002448 1391627754 1855503672 2783255508 3711007344 5566511016 11133022032