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10122300103200 = 2535253736910799
BaseRepresentation
bin1001001101001100100000…
…0110100001101000100000
31022211200102111110012202020
42103103020012201220200
52311320432311300300
633310042004421440
72063212014151035
oct223231006415040
938750374405666
1010122300103200
11325293057a77a
1211759299a7880
135856b4a229ac
1426dcc9b2d38c
15128486cda8a0
hex934c81a1a20

10122300103200 has 288 divisors, whose sum is σ = 33577413408000. Its totient is φ = 2647745617920.

The previous prime is 10122300103199. The next prime is 10122300103259. The reversal of 10122300103200 is 230100322101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122300103200.

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, 937331401 + ... + 937342199.

It is an arithmetic number, because the mean of its divisors is an integer number (116588241000).

Almost surely, 210122300103200 is an apocalyptic number.

10122300103200 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 10122300103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16788706704000).

10122300103200 is an abundant number, since it is smaller than the sum of its proper divisors (23455113304800).

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

10122300103200 is a wasteful number, since it uses less digits than its factorization.

10122300103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18244 (or 18231 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10122300103200 its reverse (230100322101), we get a palindrome (10352400425301).

The spelling of 10122300103200 in words is "ten trillion, one hundred twenty-two billion, three hundred million, one hundred three thousand, two hundred".