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112321130221000 = 2353241644972269
BaseRepresentation
bin11001100010011111001101…
…000100010100110111001000
3112201200210110200120002211001
4121202133031010110313020
5104210232133314033000
61034515340451544344
732441635213046161
oct3142371504246710
9481623420502731
10112321130221000
113287513a893038
12107207072bb0b4
134a89ab624147c
141da452bd82768
15cebae4e7046a
hex6627cd114dc8

112321130221000 has 128 divisors (see below), whose sum is σ = 263966608620000. Its totient is φ = 44734470144000.

The previous prime is 112321130220913. The next prime is 112321130221051. The reversal of 112321130221000 is 122031123211.

It can be written as a sum of positive squares in 16 ways, for example, as 1997659984996 + 110323470236004 = 1413386^2 + 10503498^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1554172866 + ... + 1554245134.

Almost surely, 2112321130221000 is an apocalyptic number.

112321130221000 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 112321130221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131983304310000).

112321130221000 is an abundant number, since it is smaller than the sum of its proper divisors (151645478399000).

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

112321130221000 is a wasteful number, since it uses less digits than its factorization.

112321130221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78980 (or 78966 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 112321130221000 its reverse (122031123211), we get a palindrome (112443161344211).

The spelling of 112321130221000 in words is "one hundred twelve trillion, three hundred twenty-one billion, one hundred thirty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 482 500 964 1000 1205 1928 2410 4820 6025 6449 9640 12050 12898 24100 25796 30125 32245 48200 51592 60250 64490 72269 120500 128980 144538 161225 241000 257960 289076 322450 361345 578152 644900 722690 806125 1289800 1445380 1554209 1612250 1806725 2890760 3108418 3224500 3613450 6216836 6449000 7226900 7771045 9033625 12433672 14453800 15542090 17416829 18067250 31084180 34833658 36134500 38855225 62168360 69667316 72269000 77710450 87084145 139334632 155420900 174168290 194276125 310841800 348336580 388552250 435420725 466062781 696673160 777104500 870841450 932125562 1554209000 1741682900 1864251124 2177103625 2330313905 3483365800 3728502248 4354207250 4660627810 8708414500 9321255620 11651569525 17416829000 18642511240 23303139050 46606278100 58257847625 93212556200 112321130221 116515695250 224642260442 233031390500 449284520884 466062781000 561605651105 898569041768 1123211302210 2246422604420 2808028255525 4492845208840 5616056511050 11232113022100 14040141277625 22464226044200 28080282555250 56160565110500 112321130221000