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103612505130 = 235542638891
BaseRepresentation
bin110000001111111001…
…0010101110000101010
3100220102221012121200000
41200133302111300222
53144144300131010
6115333211323430
710325420522301
oct1403762256052
9326387177600
10103612505130
113aa3a615732
12180b7750576
139a0307a744
14502cb47438
152a6646b7c0
hex181fc95c2a

103612505130 has 48 divisors (see below), whose sum is σ = 279370020384. Its totient is φ = 27630000720.

The previous prime is 103612505123. The next prime is 103612505137. The reversal of 103612505130 is 31505216301.

103612505130 is a `hidden beast` number, since 1 + 0 + 361 + 250 + 51 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103612505123) and next prime (103612505137).

It is a super-3 number, since 3×1036125051303 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103612505094 and 103612505103.

It is not an unprimeable number, because it can be changed into a prime (103612505137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21317016 + ... + 21321875.

It is an arithmetic number, because the mean of its divisors is an integer number (5820208758).

Almost surely, 2103612505130 is an apocalyptic number.

103612505130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103612505130 is an abundant number, since it is smaller than the sum of its proper divisors (175757515254).

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

103612505130 is an equidigital number, since it uses as much as digits as its factorization.

103612505130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42638913 (or 42638901 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 103612505130 in words is "one hundred three billion, six hundred twelve million, five hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 42638891 85277782 127916673 213194455 255833346 383750019 426388910 639583365 767500038 1151250057 1279166730 1918750095 2302500114 3453750171 3837500190 5756250285 6907500342 10361250513 11512500570 17268750855 20722501026 34537501710 51806252565 103612505130