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103715228652 = 223710127494447
BaseRepresentation
bin110000010010111101…
…0001100101111101100
3100220201002111111211220
41200211322030233230
53144402044304102
6115351321143340
710331105616630
oct1404572145754
9326632444756
10103715228652
113aa925a7402
121812602ab50
139a1b435aa9
14503c646dc0
152a704ad1bc
hex1825e8cbec

103715228652 has 96 divisors (see below), whose sum is σ = 279476736000. Its totient is φ = 29322259200.

The previous prime is 103715228611. The next prime is 103715228677. The reversal of 103715228652 is 256822517301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23320293 + ... + 23324739.

It is an arithmetic number, because the mean of its divisors is an integer number (2911216000).

Almost surely, 2103715228652 is an apocalyptic number.

103715228652 is a gapful number since it is divisible by the number (12) 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 103715228652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139738368000).

103715228652 is an abundant number, since it is smaller than the sum of its proper divisors (175761507348).

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

103715228652 is a wasteful number, since it uses less digits than its factorization.

103715228652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7311 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 103715228652 in words is "one hundred three billion, seven hundred fifteen million, two hundred twenty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2749 2828 4242 4447 5498 8247 8484 8894 10996 13341 16494 17788 19243 26682 31129 32988 38486 53364 57729 62258 76972 93387 115458 124516 186774 230916 277649 373548 449147 555298 832947 898294 1110596 1347441 1665894 1796588 1943543 2694882 3144029 3331788 3887086 5389764 5830629 6288058 7774172 9432087 11661258 12224803 12576116 18864174 23322516 24449606 36674409 37728348 48899212 73348818 85573621 146697636 171147242 256720863 342294484 513441726 1026883452 1234705103 2469410206 3704115309 4938820412 7408230618 8642935721 14816461236 17285871442 25928807163 34571742884 51857614326 103715228652