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102232223302200 = 23352661721135747
BaseRepresentation
bin10111001111101011001011…
…010110101100001000111000
3111101222022020102021102101020
4113033223023112230020320
5101344433043131132300
61001232500211022440
730351014540143635
oct2717531326541070
9441868212242336
10102232223302200
112a635495958022
12b57135889aa20
1345075c38913b4
141b360cd1b318c
15bc4464b1b8a0
hex5cfacb5ac238

102232223302200 has 192 divisors, whose sum is σ = 317452243720320. Its totient is φ = 27216146496000.

The previous prime is 102232223302171. The next prime is 102232223302229. The reversal of 102232223302200 is 2203322232201.

102232223302200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102232223302171) and next prime (102232223302229).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2859864727 + ... + 2859900473.

It is an arithmetic number, because the mean of its divisors is an integer number (1653397102710).

Almost surely, 2102232223302200 is an apocalyptic number.

102232223302200 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 102232223302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158726121860160).

102232223302200 is an abundant number, since it is smaller than the sum of its proper divisors (215220020418120).

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

102232223302200 is a wasteful number, since it uses less digits than its factorization.

102232223302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43638 (or 43629 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 102232223302200 its reverse (2203322232201), we get a palindrome (104435545534401).

The spelling of 102232223302200 in words is "one hundred two trillion, two hundred thirty-two billion, two hundred twenty-three million, three hundred two thousand, two hundred".