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131240230400 = 295217475869
BaseRepresentation
bin111101000111010000…
…1101111111000000000
3110112202100122110220002
41322032201233320000
54122234444333100
6140142501335132
712324153360266
oct1721641577000
9415670573802
10131240230400
1150727763634
12215281074a8
13c4b6b13686
1464d00ac436
153631b992d5
hex1e8e86fe00

131240230400 has 120 divisors (see below), whose sum is σ = 325399481880. Its totient is φ = 52457103360.

The previous prime is 131240230339. The next prime is 131240230409. The reversal of 131240230400 is 4032042131.

131240230400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131240230409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22358666 + ... + 22364534.

It is an arithmetic number, because the mean of its divisors is an integer number (2711662349).

Almost surely, 2131240230400 is an apocalyptic number.

131240230400 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 131240230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162699740940).

131240230400 is an abundant number, since it is smaller than the sum of its proper divisors (194159251480).

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

131240230400 is an equidigital number, since it uses as much as digits as its factorization.

131240230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131240230400 its reverse (4032042131), we get a palindrome (135272272531).

The spelling of 131240230400 in words is "one hundred thirty-one billion, two hundred forty million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 1747 2560 3200 3494 5869 6400 6988 8735 11738 12800 13976 17470 23476 27952 29345 34940 43675 46952 55904 58690 69880 87350 93904 111808 117380 139760 146725 174700 187808 223616 234760 279520 293450 349400 375616 447232 469520 559040 586900 698800 751232 894464 939040 1118080 1173800 1397600 1502464 1878080 2236160 2347600 2795200 3004928 3756160 4472320 4695200 5590400 7512320 9390400 10253143 11180800 15024640 18780800 20506286 22361600 37561600 41012572 51265715 75123200 82025144 102531430 164050288 205062860 256328575 328100576 410125720 512657150 656201152 820251440 1025314300 1312402304 1640502880 2050628600 2624804608 3281005760 4101257200 5249609216 6562011520 8202514400 13124023040 16405028800 26248046080 32810057600 65620115200 131240230400