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131301004000 = 255363152021
BaseRepresentation
bin111101001001000100…
…1100101001011100000
3110112220121000002121011
41322102021211023200
54122401024112000
6140152512110304
712325522055635
oct1722211451340
9415817002534
10131301004000
1150758aa2751
1221544535394
13c4c65a179a
1464d81ac18c
1536371a12ba
hex1e922652e0

131301004000 has 96 divisors (see below), whose sum is σ = 323124040512. Its totient is φ = 52436160000.

The previous prime is 131301003991. The next prime is 131301004013. The reversal of 131301004000 is 400103131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2497990 + ... + 2550010.

It is an arithmetic number, because the mean of its divisors is an integer number (3365875422).

Almost surely, 2131301004000 is an apocalyptic number.

131301004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131301004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161562020256).

131301004000 is an abundant number, since it is smaller than the sum of its proper divisors (191823036512).

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

131301004000 is an equidigital number, since it uses as much as digits as its factorization.

131301004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52677 (or 52659 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 131301004000 its reverse (400103131), we get a palindrome (131701107131).

The spelling of 131301004000 in words is "one hundred thirty-one billion, three hundred one million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 631 800 1000 1262 2000 2524 3155 4000 5048 6310 10096 12620 15775 20192 25240 31550 50480 52021 63100 78875 100960 104042 126200 157750 208084 252400 260105 315500 416168 504800 520210 631000 832336 1040420 1262000 1300525 1664672 2080840 2524000 2601050 4161680 5202100 6502625 8323360 10404200 13005250 20808400 26010500 32825251 41616800 52021000 65650502 104042000 131301004 164126255 208084000 262602008 328252510 525204016 656505020 820631275 1050408032 1313010040 1641262550 2626020080 3282525100 4103156375 5252040160 6565050200 8206312750 13130100400 16412625500 26260200800 32825251000 65650502000 131301004000