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131000400240400 = 24523115910510639
BaseRepresentation
bin11101110010010011101000…
…010100100101111100010000
3122011211111221010120000212101
4131302103220110211330100
5114132302304430143100
61142340430355010144
736410316016353235
oct3562235024457420
9564744833500771
10131000400240400
1138816a59842709
1212838908b99954
135813391747862
14244c64b82d78c
15102294b01e86a
hex7724e8525f10

131000400240400 has 60 divisors (see below), whose sum is σ = 314738592246400. Its totient is φ = 52398473408640.

The previous prime is 131000400240377. The next prime is 131000400240401. The reversal of 131000400240400 is 4042004000131.

It is a super-2 number, since 2×1310004002404002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131000400240401) 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, 7208281 + ... + 17718919.

Almost surely, 2131000400240400 is an apocalyptic number.

131000400240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000400240400 is an abundant number, since it is smaller than the sum of its proper divisors (183738192006000).

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

131000400240400 is a wasteful number, since it uses less digits than its factorization.

131000400240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10541816 (or 10541805 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 131000400240400 its reverse (4042004000131), we get a palindrome (135042404240531).

The spelling of 131000400240400 in words is "one hundred thirty-one trillion, four hundred million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 31159 62318 124636 155795 249272 311590 498544 623180 778975 1246360 1557950 2492720 3115900 6231800 10510639 12463600 21021278 42042556 52553195 84085112 105106390 168170224 210212780 262765975 420425560 525531950 840851120 1051063900 2102127800 4204255600 327501000601 655002001202 1310004002404 1637505003005 2620008004808 3275010006010 5240016009616 6550020012020 8187525015025 13100040024040 16375050030050 26200080048080 32750100060100 65500200120200 131000400240400