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202332112113204 = 22322316316742121323
BaseRepresentation
bin101110000000010100011101…
…101010110100111000110100
3222112101202112210000022021200
4232000110131222310320310
5203010002131200110304
61554154031125412500
760422004233231433
oct5600243552647064
9875352483008250
10202332112113204
1159518626556367
121a83939ab6a130
1388b8ab4486468
1437d6cd838111a
15185d1c89b0e39
hexb8051dab4e34

202332112113204 has 288 divisors, whose sum is σ = 541485571221504. Its totient is φ = 63577618917120.

The previous prime is 202332112113169. The next prime is 202332112113239. The reversal of 202332112113204 is 402311211233202.

202332112113204 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 321 + 1 + 2 + 11 + 320 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (202332112113169) and next prime (202332112113239).

It is a super-2 number, since 2×2023321121132042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9488903287 + ... + 9488924609.

It is an arithmetic number, because the mean of its divisors is an integer number (1880158233408).

Almost surely, 2202332112113204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202332112113204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270742785610752).

202332112113204 is an abundant number, since it is smaller than the sum of its proper divisors (339153459108300).

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

202332112113204 is a wasteful number, since it uses less digits than its factorization.

202332112113204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22107 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 202332112113204 its reverse (402311211233202), we get a palindrome (604643323346406).

The spelling of 202332112113204 in words is "two hundred two trillion, three hundred thirty-two billion, one hundred twelve million, one hundred thirteen thousand, two hundred four".