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112132301120970 = 235131795712813047
BaseRepresentation
bin11001011111101111010101…
…111110011110010111001010
3112201000202001212021221020120
4121133233111332132113022
5104144133423041332340
61034252511253004110
732422201645142514
oct3137572576362712
9481022055257216
10112132301120970
1132802050777379
12106abba8923636
134a750523857a0
141d9933773abb4
15ce6c425974d0
hex65fbd5f9e5ca

112132301120970 has 128 divisors (see below), whose sum is σ = 291948473456640. Its totient is φ = 27399518127360.

The previous prime is 112132301120969. The next prime is 112132301121023. The reversal of 112132301120970 is 79021103231211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38454987 + ... + 41268033.

It is an arithmetic number, because the mean of its divisors is an integer number (2280847448880).

Almost surely, 2112132301120970 is an apocalyptic number.

112132301120970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112132301120970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145974236728320).

112132301120970 is an abundant number, since it is smaller than the sum of its proper divisors (179816172335670).

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

112132301120970 is a wasteful number, since it uses less digits than its factorization.

112132301120970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813820.

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 112132301120970 in words is "one hundred twelve trillion, one hundred thirty-two billion, three hundred one million, one hundred twenty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 179 195 358 390 537 571 895 1074 1142 1713 1790 2327 2685 2855 3426 4654 5370 5710 6981 7423 8565 11635 13962 14846 17130 22269 23270 34905 37115 44538 69810 74230 102209 111345 204418 222690 306627 511045 613254 1022090 1328717 1533135 2657434 2813047 3066270 3986151 5626094 6643585 7972302 8439141 13287170 14065235 16878282 19930755 28130470 36569611 39861510 42195705 73139222 84391410 109708833 182848055 219417666 365696110 503535413 548544165 1007070826 1097088330 1510606239 1606249837 2517677065 3021212478 3212499674 4818749511 5035354130 6545960369 7553031195 8031249185 9637499022 13091920738 15106062390 16062498370 19637881107 20881247881 24093747555 32729801845 39275762214 41762495762 48187495110 62643743643 65459603690 98189405535 104406239405 125287487286 196378811070 208812478810 287518720823 313218718215 575037441646 626437436430 862556162469 1437593604115 1725112324938 2875187208230 3737743370699 4312780812345 7475486741398 8625561624690 11213230112097 18688716853495 22426460224194 37377433706990 56066150560485 112132301120970