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131303112000190 = 25132361719903021
BaseRepresentation
bin11101110110101101100011…
…010110010100001010111110
3122012220110021122010201201021
4131312231203112110022332
5114202232233133001230
61143131452242334354
736441223343021044
oct3566554326241276
9565813248121637
10131303112000190
11389233787281a9
121288750a65a3ba
135835aa4319750
14245d166b86394
15102a7667d7c7a
hex776b635942be

131303112000190 has 64 divisors (see below), whose sum is σ = 269946355577472. Its totient is φ = 45613055347200.

The previous prime is 131303112000061. The next prime is 131303112000191. The reversal of 131303112000190 is 91000211303131.

It is a super-2 number, since 2×1313031120001902 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303112000191) 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, 359769121 + ... + 360133900.

It is an arithmetic number, because the mean of its divisors is an integer number (4217911805898).

Almost surely, 2131303112000190 is an apocalyptic number.

131303112000190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131303112000190 is an abundant number, since it is smaller than the sum of its proper divisors (138643243577282).

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

131303112000190 is a wasteful number, since it uses less digits than its factorization.

131303112000190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719903125.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 131303112000190 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, one hundred ninety", and thus it is an aban number.

Divisors: 1 2 5 10 13 23 26 46 61 65 115 122 130 230 299 305 598 610 793 1403 1495 1586 2806 2990 3965 7015 7930 14030 18239 36478 91195 182390 719903021 1439806042 3599515105 7199030210 9358739273 16557769483 18717478546 33115538966 43914084281 46793696365 82788847415 87828168562 93587392730 165577694830 215251003279 219570421405 430502006558 439140842810 570883095653 1010023938463 1076255016395 1141766191306 2020047876926 2152510032790 2854415478265 5050119692315 5708830956530 10100239384630 13130311200019 26260622400038 65651556000095 131303112000190