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102232000221200 = 24521153192216287
BaseRepresentation
bin10111001111101010111110…
…000011101101000000010000
3111101222021122212111201202222
4113033222332003231000100
5101344432114024034300
61001232422121400212
730351006161036003
oct2717527603550020
9441867585451688
10102232000221200
112a635390a3aa63
12b5712b6039068
1345075895b54c5
141b360ab70353a
15bc4450253785
hex5cfabe0ed010

102232000221200 has 60 divisors (see below), whose sum is σ = 245614621205760. Its totient is φ = 40892427031680.

The previous prime is 102232000221163. The next prime is 102232000221283. The reversal of 102232000221200 is 2122000232201.

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 11 ways as a sum of consecutive naturals, for example, 45019457 + ... + 47235743.

It is an arithmetic number, because the mean of its divisors is an integer number (4093577020096).

Almost surely, 2102232000221200 is an apocalyptic number.

102232000221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102232000221200 is an abundant number, since it is smaller than the sum of its proper divisors (143382620984560).

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

102232000221200 is a wasteful number, since it uses less digits than its factorization.

102232000221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331624 (or 2331613 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102232000221200 its reverse (2122000232201), we get a palindrome (104354000453401).

The spelling of 102232000221200 in words is "one hundred two trillion, two hundred thirty-two billion, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 115319 230638 461276 576595 922552 1153190 1845104 2216287 2306380 2882975 4432574 4612760 5765950 8865148 9225520 11081435 11531900 17730296 22162870 23063800 35460592 44325740 46127600 55407175 88651480 110814350 177302960 221628700 443257400 886514800 255580000553 511160001106 1022320002212 1277900002765 2044640004424 2555800005530 4089280008848 5111600011060 6389500013825 10223200022120 12779000027650 20446400044240 25558000055300 51116000110600 102232000221200