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23131110202200 = 2332527111337438069
BaseRepresentation
bin1010100001001101000011…
…00110110101101101011000
310000220022102211201010211200
411100212201212311231120
511012440003202432300
6121110141344154200
74605111321430320
oct520464146655530
9100808384633750
1023131110202200
117408937756220
122716b6a008960
13cba33c9cba30
1459d7a1c56280
152a1a5eb3c200
hex1509a19b5b58

23131110202200 has 2304 divisors, whose sum is σ = 109623933619200. Its totient is φ = 4215910809600.

The previous prime is 23131110202153. The next prime is 23131110202259. The reversal of 23131110202200 is 220201113132.

23131110202200 is a `hidden beast` number, since 2 + 31 + 311 + 102 + 0 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2866659766 + ... + 2866667834.

It is an arithmetic number, because the mean of its divisors is an integer number (47579832300).

Almost surely, 223131110202200 is an apocalyptic number.

23131110202200 is a gapful number since it is divisible by the number (20) 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 23131110202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54811966809600).

23131110202200 is an abundant number, since it is smaller than the sum of its proper divisors (86492823417000).

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

23131110202200 is a wasteful number, since it uses less digits than its factorization.

23131110202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23131110202200 its reverse (220201113132), we get a palindrome (23351311315332).

The spelling of 23131110202200 in words is "twenty-three trillion, one hundred thirty-one billion, one hundred ten million, two hundred two thousand, two hundred".