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102131250 = 235513419
BaseRepresentation
bin1100001011001…
…10011000110010
321010011210201220
412011212120302
5202121200000
614045005510
72350046514
oct605463062
9233153656
10102131250
11527177a1
122a253896
131820b8c0
14d7c7bb4
158e761a0
hex6166632

102131250 has 96 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 25080000.

The previous prime is 102131233. The next prime is 102131269. The reversal of 102131250 is 52131201.

It is a super-3 number, since 3×1021312503 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243541 + ... + 243959.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 2102131250 is an apocalyptic number.

102131250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102131250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

102131250 is an abundant number, since it is smaller than the sum of its proper divisors (173476110).

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

102131250 is an equidigital number, since it uses as much as digits as its factorization.

102131250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 102131250 is about 10106.0006926578. Note that the first 3 decimals coincide. The cubic root of 102131250 is about 467.4331931951.

Adding to 102131250 its reverse (52131201), we get a palindrome (154262451).

The spelling of 102131250 in words is "one hundred two million, one hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 125 130 150 195 250 325 375 390 419 625 650 750 838 975 1250 1257 1625 1875 1950 2095 2514 3125 3250 3750 4190 4875 5447 6250 6285 8125 9375 9750 10475 10894 12570 16250 16341 18750 20950 24375 27235 31425 32682 40625 48750 52375 54470 62850 81250 81705 104750 121875 136175 157125 163410 243750 261875 272350 314250 408525 523750 680875 785625 817050 1309375 1361750 1571250 2042625 2618750 3404375 3928125 4085250 6808750 7856250 10213125 17021875 20426250 34043750 51065625 102131250