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103210464720 = 24351139094873
BaseRepresentation
bin110000000011111010…
…0101011010111010000
3100212101220200211220110
41200013310223113100
53142333334332340
6115225250241320
710312436321646
oct1400764532720
9325356624813
10103210464720
113a853686830
1218004b86240
13996a9a34cc
144dd15b1196
152a41003680
hex1807d2b5d0

103210464720 has 80 divisors (see below), whose sum is σ = 349039035072. Its totient is φ = 25020718080.

The previous prime is 103210464683. The next prime is 103210464743. The reversal of 103210464720 is 27464012301.

103210464720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19544797 + ... + 19550076.

Almost surely, 2103210464720 is an apocalyptic number.

103210464720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103210464720 is an abundant number, since it is smaller than the sum of its proper divisors (245828570352).

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

103210464720 is a wasteful number, since it uses less digits than its factorization.

103210464720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39094900 (or 39094894 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 103210464720 in words is "one hundred three billion, two hundred ten million, four hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 39094873 78189746 117284619 156379492 195474365 234569238 312758984 390948730 430043603 469138476 586423095 625517968 781897460 860087206 938276952 1172846190 1290130809 1563794920 1720174412 1876553904 2150218015 2345692380 2580261618 3127589840 3440348824 4300436030 4691384760 5160523236 6450654045 6880697648 8600872060 9382769520 10321046472 12901308090 17201744120 20642092944 25802616180 34403488240 51605232360 103210464720