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131141100324340 = 225173731799327827
BaseRepresentation
bin11101110100010110101010…
…101100110100010111110100
3122012022222002202120212020101
4131310112222230310113310
5114142103433140334330
61142525220110043444
736423426501343501
oct3564265254642764
9565288082525211
10131141100324340
11388706a0323217
12128600351a9584
1358237253781b2
1424553980184a8
15102643342d4ca
hex7745aab345f4

131141100324340 has 96 divisors (see below), whose sum is σ = 299487400531200. Its totient is φ = 48034764969984.

The previous prime is 131141100324331. The next prime is 131141100324341. The reversal of 131141100324340 is 43423001141131.

It is a junction number, because it is equal to n+sod(n) for n = 131141100324299 and 131141100324308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141100324341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399867507 + ... + 400195333.

It is an arithmetic number, because the mean of its divisors is an integer number (3119660422200).

Almost surely, 2131141100324340 is an apocalyptic number.

131141100324340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141100324340 is an abundant number, since it is smaller than the sum of its proper divisors (168346300206860).

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

131141100324340 is a wasteful number, since it uses less digits than its factorization.

131141100324340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359689 (or 359687 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131141100324340 its reverse (43423001141131), we get a palindrome (174564101465471).

The spelling of 131141100324340 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 31799 63598 127196 158995 317990 327827 540583 635980 655654 1081166 1176563 1311308 1639135 2162332 2353126 2702915 3278270 4706252 5405830 5573059 5882815 6556540 10811660 11146118 11765630 12129599 20001571 22292236 23531260 24259198 27865295 40003142 48518396 55730590 60647995 80006284 100007855 111461180 121295990 200015710 206203183 242591980 400031420 412406366 824812732 1031015915 2062031830 4124063660 10424570773 20849141546 41698283092 52122853865 104245707730 177217703141 208491415460 354435406282 385709118601 708870812564 771418237202 886088515705 1542836474404 1772177031410 1928545593005 3544354062820 3857091186010 6557055016217 7714182372020 13114110032434 26228220064868 32785275081085 65570550162170 131141100324340