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103402322120 = 235191031320929
BaseRepresentation
bin110000001001101000…
…0100011100011001000
3100212220021201012210002
41200103100203203020
53143231443301440
6115300302342132
710320256143656
oct1402320434310
9325807635702
10103402322120
113a941a08069
121805928a948
13999b6694b6
14500cc73dd6
152a52ca0115
hex18134238c8

103402322120 has 64 divisors (see below), whose sum is σ = 247278096000. Its totient is φ = 38803580928.

The previous prime is 103402322071. The next prime is 103402322123. The reversal of 103402322120 is 21223204301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103402322092 and 103402322101.

It is not an unprimeable number, because it can be changed into a prime (103402322123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582185 + ... + 738744.

It is an arithmetic number, because the mean of its divisors is an integer number (3863720250).

Almost surely, 2103402322120 is an apocalyptic number.

103402322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103402322120 is an abundant number, since it is smaller than the sum of its proper divisors (143875773880).

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

103402322120 is a wasteful number, since it uses less digits than its factorization.

103402322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321062 (or 1321058 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103402322120 its reverse (21223204301), we get a palindrome (124625526421).

The spelling of 103402322120 in words is "one hundred three billion, four hundred two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 103 152 190 206 380 412 515 760 824 1030 1957 2060 3914 4120 7828 9785 15656 19570 39140 78280 1320929 2641858 5283716 6604645 10567432 13209290 25097651 26418580 50195302 52837160 100390604 125488255 136055687 200781208 250976510 272111374 501953020 544222748 680278435 1003906040 1088445496 1360556870 2585058053 2721113740 5170116106 5442227480 10340232212 12925290265 20680464424 25850580530 51701161060 103402322120