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131000102401344 = 26311128549482513
BaseRepresentation
bin11101110010010011010110…
…100100011011010101000000
3122011211111011101010020111020
4131302103112210123111000
5114132301202203320334
61142340341035145440
736410305441643631
oct3562232644332500
9564744141106436
10131000102401344
1138816916704830
12128388452a5280
135813344b25527
14244c62005d888
15102292ecdae49
hex7724d691b540

131000102401344 has 112 divisors (see below), whose sum is σ = 378117656971200. Its totient is φ = 39696609648640.

The previous prime is 131000102401303. The next prime is 131000102401351. The reversal of 131000102401344 is 443104201000131.

It is a super-2 number, since 2×1310001024013442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 271254232 + ... + 271736744.

Almost surely, 2131000102401344 is an apocalyptic number.

It is an amenable number.

131000102401344 is an abundant number, since it is smaller than the sum of its proper divisors (247117554569856).

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

131000102401344 is a wasteful number, since it uses less digits than its factorization.

131000102401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611088 (or 611078 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131000102401344 its reverse (443104201000131), we get a palindrome (574104303401475).

The spelling of 131000102401344 in words is "one hundred thirty-one trillion, one hundred two million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 128549 257098 385647 482513 514196 771294 965026 1028392 1414039 1447539 1542588 1930052 2056784 2828078 2895078 3085176 3860104 4113568 4242117 5307643 5656156 5790156 6170352 7720208 8227136 8484234 10615286 11312312 11580312 12340704 15440416 15922929 16968468 21230572 22624624 23160624 24681408 30880832 31845858 33936936 42461144 45249248 46321248 63691716 67873872 84922288 90498496 92642496 127383432 135747744 169844576 254766864 271495488 339689152 509533728 1019067456 62026563637 124053127274 186079690911 248106254548 372159381822 496212509096 682292200007 744318763644 992425018192 1364584400014 1488637527288 1984850036384 2046876600021 2729168800028 2977275054576 3969700072768 4093753200042 5458337600056 5954550109152 8187506400084 10916675200112 11909100218304 16375012800168 21833350400224 32750025600336 43666700800448 65500051200672 131000102401344