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103222430304 = 2537244162927
BaseRepresentation
bin110000000100010001…
…0010100101001100000
3100212102202012202121020
41200020202110221200
53142344420232204
6115230354525440
710312643116020
oct1401042245140
9325382182536
10103222430304
113a85a409744
1218008b96880
139970302936
144dd3007a80
152a420b8bd9
hex1808894a60

103222430304 has 96 divisors (see below), whose sum is σ = 309799074816. Its totient is φ = 29479572480.

The previous prime is 103222430279. The next prime is 103222430309. The reversal of 103222430304 is 403034222301.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103222430309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1608889 + ... + 1671815.

It is an arithmetic number, because the mean of its divisors is an integer number (3227073696).

Almost surely, 2103222430304 is an apocalyptic number.

103222430304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103222430304 is an abundant number, since it is smaller than the sum of its proper divisors (206576644512).

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

103222430304 is a wasteful number, since it uses less digits than its factorization.

103222430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65388 (or 65380 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 103222430304 its reverse (403034222301), we get a palindrome (506256652605).

The spelling of 103222430304 in words is "one hundred three billion, two hundred twenty-two million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2441 4882 7323 9764 14646 17087 19528 29292 34174 39056 51261 58584 62927 68348 78112 102522 117168 125854 136696 188781 205044 234336 251708 273392 377562 410088 440489 503416 546784 755124 820176 880978 1006832 1321467 1510248 1640352 1761956 2013664 2642934 3020496 3523912 5285868 6040992 7047824 10571736 14095648 21143472 42286944 153604807 307209614 460814421 614419228 921628842 1075233649 1228838456 1843257684 2150467298 2457676912 3225700947 3686515368 4300934596 4915353824 6451401894 7373030736 8601869192 12902803788 14746061472 17203738384 25805607576 34407476768 51611215152 103222430304