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102125438220 = 2235131131158673
BaseRepresentation
bin101111100011100100…
…1101000010100001100
3100202121022000210100210
41133013021220110030
53133123103010340
6114525450322420
710243522621251
oct1370711502414
9322538023323
10102125438220
113a347169313
1217961729410
139826c660b0
144d2b44d428
1529cab29180
hex17c726850c

102125438220 has 96 divisors (see below), whose sum is σ = 310672942272. Its totient is φ = 24916082688.

The previous prime is 102125438201. The next prime is 102125438221. The reversal of 102125438220 is 22834521201.

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

It is not an unprimeable number, because it can be changed into a prime (102125438221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 491197 + ... + 667476.

It is an arithmetic number, because the mean of its divisors is an integer number (3236176482).

Almost surely, 2102125438220 is an apocalyptic number.

102125438220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102125438220 is an abundant number, since it is smaller than the sum of its proper divisors (208547504052).

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

102125438220 is a wasteful number, since it uses less digits than its factorization.

102125438220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158811 (or 1158809 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 102125438220 its reverse (22834521201), we get a palindrome (124959959421).

The spelling of 102125438220 in words is "one hundred two billion, one hundred twenty-five million, four hundred thirty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 113 130 156 195 226 260 339 390 452 565 678 780 1130 1356 1469 1695 2260 2938 3390 4407 5876 6780 7345 8814 14690 17628 22035 29380 44070 88140 1158673 2317346 3476019 4634692 5793365 6952038 11586730 13904076 15062749 17380095 23173460 30125498 34760190 45188247 60250996 69520380 75313745 90376494 130930049 150627490 180752988 225941235 261860098 301254980 392790147 451882470 523720196 654650245 785580294 903764940 1309300490 1571160588 1702090637 1963950735 2618600980 3404181274 3927901470 5106271911 6808362548 7855802940 8510453185 10212543822 17020906370 20425087644 25531359555 34041812740 51062719110 102125438220