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110132000112320 = 2656011402940819
BaseRepresentation
bin11001000010101000011010…
…101111101011111011000000
3112102221111221110001021000222
4121002220122233223323000
5103413400314012043240
61030121535320202212
732124526426124264
oct3102503257537300
9472844843037028
10110132000112320
113210079aa2330a
12104283a0009368
13495b53165c4b4
141d2a5bacd40a4
15caebbce5beb5
hex642a1abebec0

110132000112320 has 112 divisors (see below), whose sum is σ = 262713344930400. Its totient is φ = 43975288627200.

The previous prime is 110132000112319. The next prime is 110132000112353. The reversal of 110132000112320 is 23211000231011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2698036871 + ... + 2698077689.

It is an arithmetic number, because the mean of its divisors is an integer number (2345654865450).

Almost surely, 2110132000112320 is an apocalyptic number.

110132000112320 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 110132000112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131356672465200).

110132000112320 is an abundant number, since it is smaller than the sum of its proper divisors (152581344818080).

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

110132000112320 is a wasteful number, since it uses less digits than its factorization.

110132000112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55466 (or 55456 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 110132000112320 its reverse (23211000231011), we get a palindrome (133343000343331).

The spelling of 110132000112320 in words is "one hundred ten trillion, one hundred thirty-two billion, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 601 1202 2404 3005 4808 6010 9616 12020 14029 19232 24040 28058 38464 40819 48080 56116 70145 81638 96160 112232 140290 163276 192320 204095 224464 280580 326552 408190 448928 561160 653104 816380 897856 1122320 1306208 1632760 2244640 2612416 3265520 4489280 6531040 8431429 13062080 16862858 24532219 33725716 42157145 49064438 67451432 84314290 98128876 122661095 134902864 168628580 196257752 245322190 269805728 337257160 392515504 490644380 539611456 572649751 674514320 785031008 981288760 1145299502 1349028640 1570062016 1962577520 2290599004 2698057280 2863248755 3925155040 4581198008 5726497510 7850310080 9162396016 11452995020 18324792032 22905990040 36649584064 45811980080 91623960160 183247920320 344162500351 688325000702 1376650001404 1720812501755 2753300002808 3441625003510 5506600005616 6883250007020 11013200011232 13766500014040 22026400022464 27533000028080 55066000056160 110132000112320