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132110013031000 = 23531012111619621
BaseRepresentation
bin11110000010011101000010…
…011001011110001001011000
3122022202121000221210011021121
4132002131002121132021120
5114303442301313443000
61144550300244015024
736553430164432324
oct3602350231361130
9568677027704247
10132110013031000
11391045a6289544
1212997980091474
135893bc7c297b4
14248a231864984
151041740894b1a
hex78274265e258

132110013031000 has 128 divisors (see below), whose sum is σ = 312346592363520. Its totient is φ = 52295928000000.

The previous prime is 132110013030979. The next prime is 132110013031013. The reversal of 132110013031000 is 130310011231.

It is a super-2 number, since 2×1321100130310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212901190 + ... + 213520810.

It is an arithmetic number, because the mean of its divisors is an integer number (2440207752840).

Almost surely, 2132110013031000 is an apocalyptic number.

132110013031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132110013031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156173296181760).

132110013031000 is an abundant number, since it is smaller than the sum of its proper divisors (180236579332520).

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

132110013031000 is a wasteful number, since it uses less digits than its factorization.

132110013031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621854 (or 621840 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 132110013031000 its reverse (130310011231), we get a palindrome (132240323042231).

The spelling of 132110013031000 in words is "one hundred thirty-two trillion, one hundred ten billion, thirteen million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2111 2525 4040 4222 5050 8444 10100 10555 12625 16888 20200 21110 25250 42220 50500 52775 84440 101000 105550 211100 213211 263875 422200 426422 527750 619621 852844 1055500 1066055 1239242 1705688 2111000 2132110 2478484 3098105 4264220 4956968 5330275 6196210 8528440 10660550 12392420 15490525 21321100 24784840 26651375 30981050 42642200 53302750 61962100 62581721 77452625 106605500 123924200 125163442 154905250 213211000 250326884 309810500 312908605 500653768 619621000 625817210 1251634420 1308019931 1564543025 2503268840 2616039862 3129086050 5232079724 6258172100 6540099655 7822715125 10464159448 12516344200 13080199310 15645430250 26160398620 31290860500 32700498275 52320797240 62581721000 65400996550 130801993100 132110013031 163502491375 261603986200 264220026062 327004982750 528440052124 654009965500 660550065155 1056880104248 1308019931000 1321100130310 2642200260620 3302750325775 5284400521240 6605500651550 13211001303100 16513751628875 26422002606200 33027503257750 66055006515500 132110013031000