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103413784104 = 2335281189311
BaseRepresentation
bin110000001001111110…
…0010001111000101000
3100212221002021112200000
41200103330101320220
53143242412042404
6115301352143000
710320455442561
oct1402374217050
9325832245600
10103413784104
113a948426684
1218061097a60
1399a0b50637
1450105b9168
152a53cb6339
hex1813f11e28

103413784104 has 96 divisors (see below), whose sum is σ = 291487472640. Its totient is φ = 34348406400.

The previous prime is 103413784091. The next prime is 103413784127. The reversal of 103413784104 is 401487314301.

103413784104 is a `hidden beast` number, since 103 + 4 + 137 + 8 + 410 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451609 + ... + 640919.

It is an arithmetic number, because the mean of its divisors is an integer number (3036327840).

Almost surely, 2103413784104 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 103413784104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145743736320).

103413784104 is an abundant number, since it is smaller than the sum of its proper divisors (188073688536).

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

103413784104 is a wasteful number, since it uses less digits than its factorization.

103413784104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189613 (or 189597 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 103413784104 in words is "one hundred three billion, four hundred thirteen million, seven hundred eighty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 281 324 486 562 648 843 972 1124 1686 1944 2248 2529 3372 5058 6744 7587 10116 15174 20232 22761 30348 45522 60696 68283 91044 136566 182088 189311 273132 378622 546264 567933 757244 1135866 1514488 1703799 2271732 3407598 4543464 5111397 6815196 10222794 13630392 15334191 20445588 30668382 40891176 46002573 53196391 61336764 92005146 106392782 122673528 159589173 184010292 212785564 319178346 368020584 425571128 478767519 638356692 957535038 1276713384 1436302557 1915070076 2872605114 3830140152 4308907671 5745210228 8617815342 11490420456 12926723013 17235630684 25853446026 34471261368 51706892052 103413784104