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30103312320 = 2632510452539
BaseRepresentation
bin11100000010010011…
…000001011111000000
32212200221200201020100
4130002103001133000
5443122421443240
621455042242400
72113662634644
oct340223013700
985627621210
1030103312320
1111848598114
125a01656400
132ab98c8453
14165805cc24
15bb2c34e30
hex7024c17c0

30103312320 has 84 divisors (see below), whose sum is σ = 103542861240. Its totient is φ = 8027549184.

The previous prime is 30103312307. The next prime is 30103312331. The reversal of 30103312320 is 2321330103.

30103312320 is a `hidden beast` number, since 3 + 0 + 10 + 331 + 2 + 320 = 666.

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 = 30103312293 and 30103312302.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5223390 + ... + 5229149.

It is an arithmetic number, because the mean of its divisors is an integer number (1232653110).

Almost surely, 230103312320 is an apocalyptic number.

30103312320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30103312320 is an abundant number, since it is smaller than the sum of its proper divisors (73439548920).

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

30103312320 is a wasteful number, since it uses less digits than its factorization.

30103312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452562 (or 10452549 counting only the distinct ones).

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

Adding to 30103312320 its reverse (2321330103), we get a palindrome (32424642423).

The spelling of 30103312320 in words is "thirty billion, one hundred three million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 10452539 20905078 31357617 41810156 52262695 62715234 83620312 94072851 104525390 125430468 156788085 167240624 188145702 209050780 250860936 313576170 334481248 376291404 418101560 470364255 501721872 627152340 668962496 752582808 836203120 940728510 1003443744 1254304680 1505165616 1672406240 1881457020 2006887488 2508609360 3010331232 3344812480 3762914040 5017218720 6020662464 7525828080 10034437440 15051656160 30103312320