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103410415992 = 233131512194991
BaseRepresentation
bin110000001001110111…
…1011011100101111000
3100212220211221102111010
41200103233123211320
53143241031302432
6115301152033520
710320415014162
oct1402357334570
9325824842433
10103410415992
113a946536114
121805bb328a0
1399a0241580
14500dd7d932
152a5384d3cc
hex1813bdb978

103410415992 has 64 divisors (see below), whose sum is σ = 280256578560. Its totient is φ = 31607856000.

The previous prime is 103410415991. The next prime is 103410416003. The reversal of 103410415992 is 299514014301.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 103410415992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103410415991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050384 + ... + 1144607.

It is an arithmetic number, because the mean of its divisors is an integer number (4379009040).

Almost surely, 2103410415992 is an apocalyptic number.

103410415992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103410415992 is an abundant number, since it is smaller than the sum of its proper divisors (176846162568).

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

103410415992 is a wasteful number, since it uses less digits than its factorization.

103410415992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195164 (or 2195160 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 103410415992 in words is "one hundred three billion, four hundred ten million, four hundred fifteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 302 312 453 604 906 1208 1812 1963 3624 3926 5889 7852 11778 15704 23556 47112 2194991 4389982 6584973 8779964 13169946 17559928 26339892 28534883 52679784 57069766 85604649 114139532 171209298 228279064 331443641 342418596 662887282 684837192 994330923 1325774564 1988661846 2651549128 3977323692 4308767333 7954647384 8617534666 12926301999 17235069332 25852603998 34470138664 51705207996 103410415992