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102230550400 = 2752117997379
BaseRepresentation
bin101111100110101101…
…0100110011110000000
3100202212121211001011111
41133031122212132000
53133332010103100
6114544123253104
710246240224616
oct1371532463600
9322777731144
10102230550400
113a3a0531690
121799097a194
139842979754
144d3b3b16b6
1529d4e8d6ba
hex17cd6a6780

102230550400 has 384 divisors, whose sum is σ = 282606912000. Its totient is φ = 36229939200.

The previous prime is 102230550361. The next prime is 102230550407. The reversal of 102230550400 is 4055032201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102230550407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269737411 + ... + 269737789.

It is an arithmetic number, because the mean of its divisors is an integer number (735955500).

Almost surely, 2102230550400 is an apocalyptic number.

102230550400 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 102230550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141303456000).

102230550400 is an abundant number, since it is smaller than the sum of its proper divisors (180376361600).

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

102230550400 is a wasteful number, since it uses less digits than its factorization.

102230550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 102230550400 its reverse (4055032201), we get a palindrome (106285582601).

The spelling of 102230550400 in words is "one hundred two billion, two hundred thirty million, five hundred fifty thousand, four hundred".