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132041205311301 = 3211131732375324967
BaseRepresentation
bin11110000001011100111101…
…001000110110011101000101
3122022112000102121220211111200
4132001130331020312131011
5114301330342024430201
61144454520423453113
736545443105446456
oct3601347510663505
9568460377824450
10132041205311301
11390883a71002a0
12129865785b7199
13588a580802960
142486b8532d12d
15103ea64c97386
hex78173d236745

132041205311301 has 96 divisors (see below), whose sum is σ = 225383640797952. Its totient is φ = 73436182778880.

The previous prime is 132041205311297. The next prime is 132041205311333. The reversal of 132041205311301 is 103113502140231.

132041205311301 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 120 + 531 + 1 + 3 + 0 + 1 = 666.

It is not a de Polignac number, because 132041205311301 - 22 = 132041205311297 is a prime.

It is a super-2 number, since 2×1320412053113012 (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 (132041205311341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5288616720 + ... + 5288641686.

It is an arithmetic number, because the mean of its divisors is an integer number (2347746258312).

Almost surely, 2132041205311301 is an apocalyptic number.

132041205311301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132041205311301 is a deficient number, since it is larger than the sum of its proper divisors (93342435486651).

132041205311301 is a wasteful number, since it uses less digits than its factorization.

132041205311301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48923 (or 48920 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 132041205311301 its reverse (103113502140231), we get a palindrome (235154707451532).

The spelling of 132041205311301 in words is "one hundred thirty-two trillion, forty-one billion, two hundred five million, three hundred eleven thousand, three hundred one".

Divisors: 1 3 9 11 13 33 39 99 117 143 173 429 519 1287 1557 1903 2249 5709 6747 17127 20241 23753 24739 24967 71259 74217 74901 213777 222651 224703 261283 274637 308789 324571 783849 823911 926367 973713 2351547 2471733 2779101 2921139 3396679 3570281 4109269 4319291 10190037 10710843 12327807 12957873 30570111 32132529 36983421 38873619 45201959 47512201 53420497 56150783 135605877 142536603 160261491 168452349 406817631 427609809 480784473 505357047 587625467 593041151 617658613 1762876401 1779123453 1852975839 5288629203 5337370359 5558927517 6523452661 7709534963 19570357983 23128604889 58711073949 69385814667 84804884593 102596119123 254414653779 307788357369 763243961337 923365072107 1128557310353 1333749548599 3385671931059 4001248645797 10157015793177 12003745937391 14671245034589 44013735103767 132041205311301