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101330132304132 = 22333725357890967
BaseRepresentation
bin10111000010100011000010…
…100010101000000100000100
3111021210001210010220122001000
4113002203002202220010010
5101240143102332213012
6555302230430133300
730225601066161054
oct2702430242500404
9437701703818030
10101330132304132
112a317960018456
12b446560351230
13447050cb49934
141b04594205564
15baac68c54ddc
hex5c28c28a8104

101330132304132 has 48 divisors (see below), whose sum is σ = 269807959899520. Its totient is φ = 32863826691936.

The previous prime is 101330132304043. The next prime is 101330132304133. The reversal of 101330132304132 is 231403231033101.

101330132304132 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 0 + 13 + 230 + 413 + 2 = 666.

It is a super-3 number, since 3×1013301323041323 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101330132304096 and 101330132304105.

It is not an unprimeable number, because it can be changed into a prime (101330132304133) 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, 12678941488 + ... + 12678949479.

Almost surely, 2101330132304132 is an apocalyptic number.

101330132304132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101330132304132 is an abundant number, since it is smaller than the sum of its proper divisors (168477827595388).

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

101330132304132 is a wasteful number, since it uses less digits than its factorization.

101330132304132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25357891017 (or 25357891009 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101330132304132 its reverse (231403231033101), we get a palindrome (332733363337233).

The spelling of 101330132304132 in words is "one hundred one trillion, three hundred thirty billion, one hundred thirty-two million, three hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 25357890967 50715781934 76073672901 101431563868 152147345802 228221018703 304294691604 456442037406 684663056109 912884074812 938241965779 1369326112218 1876483931558 2738652224436 2814725897337 3752967863116 5629451794674 8444177692011 11258903589348 16888355384022 25332533076033 33776710768044 50665066152066 101330132304132