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1312232132100 = 22352371091084579
BaseRepresentation
bin10011000110000111001…
…000010100111000000100
311122110002201021010221210
4103012013020110320010
5132444422411211400
62442455304411420
7163543223041161
oct23060710247004
94573081233853
101312232132100
1146657291307a
1219239ba76b70
1396987386826
1447725d51068
1524202c4a950
hex13187214e04

1312232132100 has 144 divisors (see below), whose sum is σ = 3935116539200. Its totient is φ = 337347141120.

The previous prime is 1312232132069. The next prime is 1312232132227. The reversal of 1312232132100 is 12312322131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667611 + ... + 1752189.

Almost surely, 21312232132100 is an apocalyptic number.

1312232132100 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 1312232132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967558269600).

1312232132100 is an abundant number, since it is smaller than the sum of its proper divisors (2622884407100).

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

1312232132100 is a wasteful number, since it uses less digits than its factorization.

1312232132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084742 (or 1084735 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1312232132100 its reverse (12312322131), we get a palindrome (1324544454231).

The spelling of 1312232132100 in words is "one trillion, three hundred twelve billion, two hundred thirty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 109 111 148 150 185 218 222 300 327 370 436 444 545 555 654 740 925 1090 1110 1308 1635 1850 2180 2220 2725 2775 3270 3700 4033 5450 5550 6540 8066 8175 10900 11100 12099 16132 16350 20165 24198 32700 40330 48396 60495 80660 100825 120990 201650 241980 302475 403300 604950 1084579 1209900 2169158 3253737 4338316 5422895 6507474 10845790 13014948 16268685 21691580 27114475 32537370 40129423 54228950 65074740 80258846 81343425 108457900 118219111 120388269 160517692 162686850 200647115 236438222 240776538 325373700 354657333 401294230 472876444 481553076 591095555 601941345 709314666 802588460 1003235575 1182191110 1203882690 1418629332 1773286665 2006471150 2364382220 2407765380 2955477775 3009706725 3546573330 4012942300 4374107107 5910955550 6019413450 7093146660 8748214214 8866433325 11821911100 12038826900 13122321321 17496428428 17732866650 21870535535 26244642642 35465733300 43741071070 52489285284 65611606605 87482142140 109352677675 131223213210 218705355350 262446426420 328058033025 437410710700 656116066050 1312232132100