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103312320030 = 232531314832473
BaseRepresentation
bin110000000110111100…
…1001110011000011110
3100212200000100122010100
41200031321032120132
53143040423220110
6115243325321530
710315114142133
oct1401571163036
9325600318110
10103312320030
113a8a6125177
12180331062a6
139985b1661a
145000d2658a
152a49e22bc0
hex180de4e61e

103312320030 has 96 divisors (see below), whose sum is σ = 269760962016. Its totient is φ = 27432317952.

The previous prime is 103312320017. The next prime is 103312320031. The reversal of 103312320030 is 30023213301.

103312320030 is a `hidden beast` number, since 1 + 0 + 3 + 312 + 320 + 0 + 30 = 666.

It is a super-2 number, since 2×1033123200302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103312319985 and 103312320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312320031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41774874 + ... + 41777346.

It is an arithmetic number, because the mean of its divisors is an integer number (2810010021).

Almost surely, 2103312320030 is an apocalyptic number.

103312320030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103312320030 is an abundant number, since it is smaller than the sum of its proper divisors (166448641986).

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

103312320030 is a wasteful number, since it uses less digits than its factorization.

103312320030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103312320030 its reverse (30023213301), we get a palindrome (133335533331).

The spelling of 103312320030 in words is "one hundred three billion, three hundred twelve million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 313 626 939 1483 1565 1878 2473 2817 2966 3130 4449 4695 4946 5634 7415 7419 8898 9390 12365 13347 14085 14830 14838 22245 22257 24730 26694 28170 37095 44490 44514 66735 74190 111285 133470 222570 464179 774049 928358 1392537 1548098 2320895 2322147 2785074 3667459 3870245 4177611 4641790 4644294 6962685 6966441 7334918 7740490 8355222 11002377 11610735 13925370 13932882 18337295 20888055 22004754 23221470 33007131 34832205 36674590 41776110 55011885 66014262 69664410 110023770 165035655 330071310 1147914667 2295829334 3443744001 5739573335 6887488002 10331232003 11479146670 17218720005 20662464006 34437440010 51656160015 103312320030