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132300220130232 = 23371199172241199
BaseRepresentation
bin11110000101001110001011…
…100111111110001110111000
3122100102202222210222221101120
4132011032023213332032320
5114320101322323131412
61145213514310145240
736603242534210250
oct3605161347761670
9570382883887346
10132300220130232
1139178232227420
1212a08804052220
1358a8b1b42cc1b
1424955170d2960
151046674218b8c
hex78538b9fe3b8

132300220130232 has 128 divisors (see below), whose sum is σ = 412780437504000. Its totient is φ = 34329017289600.

The previous prime is 132300220130231. The next prime is 132300220130233. The reversal of 132300220130232 is 232031022003231.

It is an interprime number because it is at equal distance from previous prime (132300220130231) and next prime (132300220130233).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300220130231) 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, 34289232 + ... + 37951967.

It is an arithmetic number, because the mean of its divisors is an integer number (3224847168000).

Almost surely, 2132300220130232 is an apocalyptic number.

132300220130232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132300220130232 is an abundant number, since it is smaller than the sum of its proper divisors (280480217373768).

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

132300220130232 is a wasteful number, since it uses less digits than its factorization.

132300220130232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72242217 (or 72242213 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132300220130232 its reverse (232031022003231), we get a palindrome (364331242133463).

The spelling of 132300220130232 in words is "one hundred thirty-two trillion, three hundred billion, two hundred twenty million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 991 1848 1982 2973 3964 5946 6937 7928 10901 11892 13874 20811 21802 23784 27748 32703 41622 43604 55496 65406 76307 83244 87208 130812 152614 166488 228921 261624 305228 457842 610456 915684 1831368 72241199 144482398 216723597 288964796 433447194 505688393 577929592 794653189 866894388 1011376786 1517065179 1589306378 1733788776 2022753572 2383959567 3034130358 3178612756 4045507144 4767919134 5562572323 6068260716 6357225512 9535838268 11125144646 12136521432 16687716969 19071676536 22250289292 33375433938 44500578584 66750867876 71591028209 133501735752 143182056418 214773084627 286364112836 429546169254 501137197463 572728225672 787501310299 859092338508 1002274394926 1503411592389 1575002620598 1718184677016 2004548789852 2362503930897 3006823184778 3150005241196 4009097579704 4725007861794 5512509172093 6013646369556 6300010482392 9450015723588 11025018344186 12027292739112 16537527516279 18900031447176 22050036688372 33075055032558 44100073376744 66150110065116 132300220130232