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133012300031 = 1317971619841
BaseRepresentation
bin111101111100000100…
…1101010000011111111
3110201022212002221102122
41323320021222003333
54134402122100111
6141034403113155
712416111616122
oct1737011520377
9421285087378
10133012300031
1151456a80796
12219416727bb
13c709ca47a0
14661b5943b9
1536d7536cdb
hex1ef826a0ff

133012300031 has 16 divisors (see below), whose sum is σ = 151826578848. Its totient is φ = 115439001600.

The previous prime is 133012300027. The next prime is 133012300033. The reversal of 133012300031 is 130003210331.

It is not a de Polignac number, because 133012300031 - 22 = 133012300027 is a prime.

It is a super-3 number, since 3×1330123000313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133012299982 and 133012300009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133012300033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95330 + ... + 524511.

It is an arithmetic number, because the mean of its divisors is an integer number (9489161178).

Almost surely, 2133012300031 is an apocalyptic number.

133012300031 is a deficient number, since it is larger than the sum of its proper divisors (18814278817).

133012300031 is a wasteful number, since it uses less digits than its factorization.

133012300031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620842.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 133012300031 its reverse (130003210331), we get a palindrome (263015510362).

The spelling of 133012300031 in words is "one hundred thirty-three billion, twelve million, three hundred thousand, thirty-one".

Divisors: 1 13 17 221 971 12623 16507 214591 619841 8057933 10537297 136984861 601865611 7824252943 10231715387 133012300031