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103369000904 = 23134128438527
BaseRepresentation
bin110000001000101000…
…1011100011111001000
3100212210222000022122222
41200101101130133020
53143144431012104
6115253112233212
710316403003401
oct1402121343710
9325728008588
10103369000904
113a925119374
121804a09b808
1399947a08c0
14500867c9a8
152a4edbc1be
hex181145c7c8

103369000904 has 64 divisors (see below), whose sum is σ = 213917034240. Its totient is φ = 46523312640.

The previous prime is 103369000831. The next prime is 103369000921. The reversal of 103369000904 is 409000963301.

103369000904 = T1 + T2 + ... + T8527.

103369000904 is a nontrivial binomial coefficient, being equal to C(8529, 3).

It is an unprimeable number.

It is the 8527-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12118289 + ... + 12126815.

It is an arithmetic number, because the mean of its divisors is an integer number (3342453660).

Almost surely, 2103369000904 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 103369000904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106958517120).

103369000904 is an abundant number, since it is smaller than the sum of its proper divisors (110548033336).

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

103369000904 is a wasteful number, since it uses less digits than its factorization.

103369000904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430 (or 11426 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 103369000904 in words is "one hundred three billion, three hundred sixty-nine million, nine hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 2843 4264 5686 8527 11372 17054 22744 34108 36959 68216 73918 110851 116563 147836 221702 233126 295672 349607 443404 466252 699214 886808 932504 1398428 1515319 2796856 3030638 4544891 6061276 9089782 12122552 18179564 24242261 36359128 48484522 96969044 193938088 315149393 630298786 993932701 1260597572 1987865402 2521195144 3975730804 7951461608 12921125113 25842250226 51684500452 103369000904