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131001034443400 = 23521194676289841
BaseRepresentation
bin11101110010010100001110…
…000111111000101010001000
3122011211120120022220212211101
4131302110032013320222020
5114132310104304142100
61142341013332111144
736410340520114462
oct3562241607705210
9564746508825741
10131001034443400
1138817254831820
1212838a654654b4
135813462c5a4c4
14244c6abb5b132
151022986a4686a
hex77250e1f8a88

131001034443400 has 96 divisors (see below), whose sum is σ = 332301410232480. Its totient is φ = 47631700352000.

The previous prime is 131001034443361. The next prime is 131001034443437. The reversal of 131001034443400 is 4344430100131.

It is a happy number.

It is a super-2 number, since 2×1310010344434002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17682480 + ... + 23972320.

It is an arithmetic number, because the mean of its divisors is an integer number (3461473023255).

Almost surely, 2131001034443400 is an apocalyptic number.

131001034443400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001034443400 is an abundant number, since it is smaller than the sum of its proper divisors (201300375789080).

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

131001034443400 is a wasteful number, since it uses less digits than its factorization.

131001034443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299335 (or 6299326 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131001034443400 its reverse (4344430100131), we get a palindrome (135345464543531).

The spelling of 131001034443400 in words is "one hundred thirty-one trillion, one billion, thirty-four million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 9467 18934 37868 47335 75736 94670 104137 189340 208274 236675 378680 416548 473350 520685 833096 946700 1041370 1893400 2082740 2603425 4165480 5206850 6289841 10413700 12579682 20827400 25159364 31449205 50318728 62898410 69188251 125796820 138376502 157246025 251593640 276753004 314492050 345941255 553506008 628984100 691882510 1257968200 1383765020 1729706275 2767530040 3459412550 6918825100 13837650200 59545924747 119091849494 238183698988 297729623735 476367397976 595459247470 655005172217 1190918494940 1310010344434 1488648118675 2381836989880 2620020688868 2977296237350 3275025861085 5240041377736 5954592474700 6550051722170 11909184949400 13100103444340 16375129305425 26200206888680 32750258610850 65500517221700 131001034443400