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103004032920 = 233517224322511
BaseRepresentation
bin101111111101110000…
…1001100111110011000
3100211212112021000201020
41133323201030332120
53141423013023140
6115152553522440
710304351555655
oct1377341147630
9324775230636
10103004032920
113a758100538
1217b67a13420
139936ca6809
144db1dd6c2c
152a2cd286d0
hex17fb84cf98

103004032920 has 128 divisors (see below), whose sum is σ = 327349693440. Its totient is φ = 25839319040.

The previous prime is 103004032919. The next prime is 103004032931. The reversal of 103004032920 is 29230400301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 4564465 + ... + 4586975.

It is an arithmetic number, because the mean of its divisors is an integer number (2557419480).

Almost surely, 2103004032920 is an apocalyptic number.

103004032920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103004032920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163674846720).

103004032920 is an abundant number, since it is smaller than the sum of its proper divisors (224345660520).

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

103004032920 is a wasteful number, since it uses less digits than its factorization.

103004032920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24785 (or 24781 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 103004032920 in words is "one hundred three billion, four million, thirty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2243 4486 6729 8972 11215 13458 17944 22430 22511 26916 33645 38131 44860 45022 53832 67290 67533 76262 89720 90044 112555 114393 134580 135066 152524 180088 190655 225110 228786 269160 270132 305048 337665 381310 382687 450220 457572 540264 571965 675330 762620 765374 900440 915144 1143930 1148061 1350660 1525240 1530748 1913435 2287860 2296122 2701320 3061496 3826870 4575720 4592244 5740305 7653740 9184488 11480610 15307480 22961220 45922440 50492173 100984346 151476519 201968692 252460865 302953038 403937384 504921730 605906076 757382595 858366941 1009843460 1211812152 1514765190 1716733882 2019686920 2575100823 3029530380 3433467764 4291834705 5150201646 6059060760 6866935528 8583669410 10300403292 12875504115 17167338820 20600806584 25751008230 34334677640 51502016460 103004032920