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132312031020 = 223251382968207
BaseRepresentation
bin111101100111001101…
…0010101111100101100
3110122112001102120221100
41323032122111330230
54131433334443040
6140441110003100
712362546464401
oct1731632257454
9418461376840
10132312031020
1151127768274
1221787046490
13c627b9cb20
14659258a2a8
153695d0eb30
hex1ece695f2c

132312031020 has 144 divisors (see below), whose sum is σ = 432747020160. Its totient is φ = 32529351168.

The previous prime is 132312031003. The next prime is 132312031021. The reversal of 132312031020 is 20130213231.

132312031020 is a `hidden beast` number, since 1 + 323 + 12 + 0 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132312030984 and 132312031002.

It is not an unprimeable number, because it can be changed into a prime (132312031021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905757 + ... + 1973963.

It is an arithmetic number, because the mean of its divisors is an integer number (3005187640).

Almost surely, 2132312031020 is an apocalyptic number.

132312031020 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 132312031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216373510080).

132312031020 is an abundant number, since it is smaller than the sum of its proper divisors (300434989140).

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

132312031020 is a wasteful number, since it uses less digits than its factorization.

132312031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69064 (or 69059 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132312031020 its reverse (20130213231), we get a palindrome (152442244251).

The spelling of 132312031020 in words is "one hundred thirty-two billion, three hundred twelve million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 829 1170 1658 2340 2487 3316 4145 4974 7461 8290 9948 10777 12435 14922 16580 21554 24870 29844 32331 37305 43108 49740 53885 64662 68207 74610 96993 107770 129324 136414 149220 161655 193986 204621 215540 272828 323310 341035 387972 409242 484965 613863 646620 682070 818484 886691 969930 1023105 1227726 1364140 1773382 1939860 2046210 2455452 2660073 3069315 3546764 4092420 4433455 5320146 6138630 7980219 8866910 10640292 12277260 13300365 15960438 17733820 26600730 31920876 39901095 53201460 56543603 79802190 113087206 159604380 169630809 226174412 282718015 339261618 508892427 565436030 678523236 735066839 848154045 1017784854 1130872060 1470133678 1696308090 2035569708 2205200517 2544462135 2940267356 3392616180 3675334195 4410401034 5088924270 6615601551 7350668390 8820802068 10177848540 11026002585 13231203102 14701336780 22052005170 26462406204 33078007755 44104010340 66156015510 132312031020