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130032133001 = 37127269102871
BaseRepresentation
bin111100100011010000…
…1001110001110001001
3110102122011101202210222
41321012201032032021
54112301211224001
6135422543515425
712252213615401
oct1710641161611
9412564352728
10130032133001
1150167827131
122124b5b8b75
13c353745644
146417871801
1535b0aae61b
hex1e4684e389

130032133001 has 16 divisors (see below), whose sum is σ = 135099740160. Its totient is φ = 125053709760.

The previous prime is 130032132959. The next prime is 130032133019. The reversal of 130032133001 is 100331230031.

It is a de Polignac number, because none of the positive numbers 2k-130032133001 is a prime.

It is a super-2 number, since 2×1300321330012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130032133031) 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 15 ways as a sum of consecutive naturals, for example, 1212596 + ... + 1315466.

It is an arithmetic number, because the mean of its divisors is an integer number (8443733760).

Almost surely, 2130032133001 is an apocalyptic number.

It is an amenable number.

130032133001 is a deficient number, since it is larger than the sum of its proper divisors (5067607159).

130032133001 is a wasteful number, since it uses less digits than its factorization.

130032133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103304.

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

Adding to 130032133001 its reverse (100331230031), we get a palindrome (230363363032).

The spelling of 130032133001 in words is "one hundred thirty billion, thirty-two million, one hundred thirty-three thousand, one".

Divisors: 1 37 127 269 4699 9953 34163 102871 1264031 3806227 13064617 27672299 483390829 1023875063 3514381973 130032133001