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103410416032 = 25711317917137
BaseRepresentation
bin110000001001110111…
…1011011100110100000
3100212220211221102112121
41200103233123212200
53143241031303112
6115301152034024
710320415014250
oct1402357334640
9325824842477
10103410416032
113a946536150
121805bb32914
1399a02415b1
14500dd7d960
152a5384d407
hex1813bdb9a0

103410416032 has 192 divisors, whose sum is σ = 265345597440. Its totient is φ = 38494310400.

The previous prime is 103410416003. The next prime is 103410416047. The reversal of 103410416032 is 230614014301.

It is a super-2 number, since 2×1034104160322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103410415988 and 103410416006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6025768 + ... + 6042904.

It is an arithmetic number, because the mean of its divisors is an integer number (1382008320).

Almost surely, 2103410416032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103410416032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132672798720).

103410416032 is an abundant number, since it is smaller than the sum of its proper divisors (161935181408).

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

103410416032 is a wasteful number, since it uses less digits than its factorization.

103410416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17275 (or 17267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 103410416032 in words is "one hundred three billion, four hundred ten million, four hundred sixteen thousand, thirty-two".