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13001020230132 = 22321151719634793
BaseRepresentation
bin1011110100110000100100…
…1100010100100111110100
31201000212220110020120220200
42331030021030110213310
53201002042134331012
643352330343400500
72511202254410304
oct275141114244764
951025813216820
1013001020230132
114162779a907a0
12155b827453130
13733cb615969c
1432d37771b604
151782be0123dc
hexbd3093149f4

13001020230132 has 72 divisors (see below), whose sum is σ = 35852047882560. Its totient is φ = 3939620718720.

The previous prime is 13001020230131. The next prime is 13001020230137. The reversal of 13001020230132 is 23103202010031.

13001020230132 is a `hidden beast` number, since 1 + 300 + 1 + 0 + 2 + 0 + 230 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001020230131) 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, 20163328 + ... + 20798120.

It is an arithmetic number, because the mean of its divisors is an integer number (497945109480).

Almost surely, 213001020230132 is an apocalyptic number.

13001020230132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13001020230132 is an abundant number, since it is smaller than the sum of its proper divisors (22851027652428).

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

13001020230132 is a wasteful number, since it uses less digits than its factorization.

13001020230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686533 (or 686528 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13001020230132 its reverse (23103202010031), we get a palindrome (36104222240163).

The spelling of 13001020230132 in words is "thirteen trillion, one billion, twenty million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 51719 103438 155157 206876 310314 465471 568909 620628 634793 930942 1137818 1269586 1706727 1861884 1904379 2275636 2539172 3413454 3808758 5120181 5713137 6826908 6982723 7617516 10240362 11426274 13965446 20480724 20948169 22852548 27930892 41896338 62844507 83792676 125689014 251378028 32830859167 65661718334 98492577501 131323436668 196985155002 295477732503 361139450837 393970310004 590955465006 722278901674 1083418352511 1181910930012 1444557803348 2166836705022 3250255057533 4333673410044 6500510115066 13001020230132