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130232332100 = 225213157638081
BaseRepresentation
bin111100101001001110…
…0111010111101000100
3110110011010002221100102
41321102130322331010
54113203434111400
6135454454503232
712260164362263
oct1712234727504
9413133087312
10130232332100
115025a835732
12212a6664b18
13c38606c450
1464362a65da
1535c34579d5
hex1e5273af44

130232332100 has 72 divisors (see below), whose sum is σ = 306281912328. Its totient is φ = 47779430400.

The previous prime is 130232332067. The next prime is 130232332103. The reversal of 130232332100 is 1233232031.

It can be written as a sum of positive squares in 12 ways, for example, as 112664950336 + 17567381764 = 335656^2 + 132542^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130232332103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114941 + ... + 523140.

It is an arithmetic number, because the mean of its divisors is an integer number (4253915449).

Almost surely, 2130232332100 is an apocalyptic number.

130232332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130232332100 is an abundant number, since it is smaller than the sum of its proper divisors (176049580228).

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

130232332100 is a wasteful number, since it uses less digits than its factorization.

130232332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638265 (or 638258 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 130232332100 its reverse (1233232031), we get a palindrome (131465564131).

The spelling of 130232332100 in words is "one hundred thirty billion, two hundred thirty-two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 157 260 314 325 628 650 785 1300 1570 2041 3140 3925 4082 7850 8164 10205 15700 20410 40820 51025 102050 204100 638081 1276162 2552324 3190405 6380810 8295053 12761620 15952025 16590106 31904050 33180212 41475265 63808100 82950530 100178717 165901060 200357434 207376325 400714868 414752650 500893585 829505300 1001787170 1302323321 2003574340 2504467925 2604646642 5008935850 5209293284 6511616605 10017871700 13023233210 26046466420 32558083025 65116166050 130232332100