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103312400022 = 233131943612953
BaseRepresentation
bin110000000110111100…
…1100001111010010110
3100212200000111200212000
41200031321201322112
53143040433300042
6115243331140130
710315114624266
oct1401571417226
9325600450760
10103312400022
113a8a617a287
1218033144646
139985b43b60
145000d477a6
152a49e3b74c
hex180de61e96

103312400022 has 256 divisors, whose sum is σ = 270766003200. Its totient is φ = 28922987520.

The previous prime is 103312399997. The next prime is 103312400039. The reversal of 103312400022 is 220004213301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103312399968 and 103312400004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34984098 + ... + 34987050.

It is an arithmetic number, because the mean of its divisors is an integer number (1057679700).

Almost surely, 2103312400022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103312400022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135383001600).

103312400022 is an abundant number, since it is smaller than the sum of its proper divisors (167453603178).

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

103312400022 is a wasteful number, since it uses less digits than its factorization.

103312400022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103312400022 its reverse (220004213301), we get a palindrome (323316613323).

The spelling of 103312400022 in words is "one hundred three billion, three hundred twelve million, four hundred thousand, twenty-two".