Search a number
-
+
132442531320 = 233511313236621
BaseRepresentation
bin111101101011000110…
…0001010010111111000
3110122212010222200200210
41323112030022113320
54132220242000240
6140502051031120
712366022640631
oct1732614122770
9418763880623
10132442531320
11511943a1060
122180289b4a0
13c648c32238
1465a5a3a888
1536a24db780
hex1ed630a5f8

132442531320 has 128 divisors (see below), whose sum is σ = 447430625280. Its totient is φ = 31071552000.

The previous prime is 132442531307. The next prime is 132442531327. The reversal of 132442531320 is 23135244231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132442531327) 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, 1577391 + ... + 1659230.

It is an arithmetic number, because the mean of its divisors is an integer number (3495551760).

Almost surely, 2132442531320 is an apocalyptic number.

132442531320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132442531320 is an abundant number, since it is smaller than the sum of its proper divisors (314988093960).

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

132442531320 is a wasteful number, since it uses less digits than its factorization.

132442531320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236677 (or 3236673 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 132442531320 its reverse (23135244231), we get a palindrome (155577775551).

The spelling of 132442531320 in words is "one hundred thirty-two billion, four hundred forty-two million, five hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 3236621 6473242 9709863 12946484 16183105 19419726 25892968 32366210 35602831 38839452 48549315 64732420 71205662 77678904 97098630 100335251 106808493 129464840 142411324 178014155 194197260 200670502 213616986 284822648 301005753 356028310 388394520 401341004 427233972 501676255 534042465 602011506 712056620 802682008 854467944 1003352510 1068084930 1103687761 1204023012 1424113240 1505028765 2006705020 2136169860 2207375522 2408046024 3010057530 3311063283 4013410040 4272339720 4414751044 5518438805 6020115060 6622126566 8829502088 11036877610 12040230120 13244253132 16555316415 22073755220 26488506264 33110632830 44147510440 66221265660 132442531320