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133100123331 = 37192831178743
BaseRepresentation
bin111101111110101100…
…0101011010011000011
3110201112222100211100110
41323331120223103003
54140042112421311
6141051221322403
712421226244540
oct1737530532303
9421488324313
10133100123331
11514a160572a
1221966b66403
13c722243a36
1466290d5bc7
1536e00d38a6
hex1efd62b4c3

133100123331 has 32 divisors (see below), whose sum is σ = 214248509440. Its totient is φ = 71799532704.

The previous prime is 133100123327. The next prime is 133100123363. The reversal of 133100123331 is 133321001331.

It is not a de Polignac number, because 133100123331 - 22 = 133100123327 is a prime.

It is a super-2 number, since 2×1331001233312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 133100123298 and 133100123307.

It is not an unprimeable number, because it can be changed into a prime (133100123381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476455 + ... + 702288.

It is an arithmetic number, because the mean of its divisors is an integer number (6695265920).

Almost surely, 2133100123331 is an apocalyptic number.

133100123331 is a deficient number, since it is larger than the sum of its proper divisors (81148386109).

133100123331 is a wasteful number, since it uses less digits than its factorization.

133100123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179055.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133100123331 its reverse (133321001331), we get a palindrome (266421124662).

The spelling of 133100123331 in words is "one hundred thirty-three billion, one hundred million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 283 399 849 1981 5377 5943 16131 37639 112917 1178743 3536229 8251201 22396117 24753603 67188351 156772819 333584269 470318457 1000752807 2335089883 6338101111 7005269649 19014303333 44366707777 133100123331