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132330331030120 = 23543809565316823
BaseRepresentation
bin11110000101101010001110…
…010111111100001001101000
3122100112122201021222010210221
4132011222032113330021220
5114321100004220430440
61145235414223215424
736605356651506346
oct3605521627741150
9570478637863727
10132330331030120
1139189a84027153
1212a12608147574
1358ab909783b52
142496b72168996
15104733794bd4a
hex785a8e5fc268

132330331030120 has 128 divisors (see below), whose sum is σ = 305116201209600. Its totient is φ = 51625041721344.

The previous prime is 132330331030097. The next prime is 132330331030129. The reversal of 132330331030120 is 21030133033231.

It is a super-2 number, since 2×1323303310301202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132330331030129) 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, 7866028029 + ... + 7866044851.

It is an arithmetic number, because the mean of its divisors is an integer number (2383720321950).

Almost surely, 2132330331030120 is an apocalyptic number.

132330331030120 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 132330331030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152558100604800).

132330331030120 is an abundant number, since it is smaller than the sum of its proper divisors (172785870179480).

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

132330331030120 is a wasteful number, since it uses less digits than its factorization.

132330331030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23339 (or 23335 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 132330331030120 its reverse (21030133033231), we get a palindrome (153360464063351).

The spelling of 132330331030120 in words is "one hundred thirty-two trillion, three hundred thirty billion, three hundred thirty-one million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 809 860 1618 1720 3236 4045 5653 6472 8090 11306 16180 16823 22612 28265 32360 33646 34787 45224 56530 67292 69574 84115 113060 134584 139148 168230 173935 226120 243079 278296 336460 347870 486158 672920 695740 723389 972316 1215395 1391480 1446778 1944632 2430790 2893556 3616945 4573277 4861580 5787112 7233890 9146554 9723160 13609807 14467780 18293108 22866385 27219614 28935560 36586216 45732770 54439228 68049035 91465540 95100419 108878456 136098070 182931080 190200838 196650911 272196140 380401676 393301822 475502095 544392280 585221701 760803352 786603644 951004190 983254555 1170443402 1573207288 1902008380 1966509110 2340886804 2926108505 3804016760 3933018220 4089318017 4681773608 5852217010 7866036440 8178636034 11704434020 16357272068 20446590085 23408868040 32714544136 40893180170 76936238971 81786360340 153872477942 163572720680 307744955884 384681194855 615489911768 769362389710 1538724779420 3077449558840 3308258275753 6616516551506 13233033103012 16541291378765 26466066206024 33082582757530 66165165515060 132330331030120