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30313122300 = 223252130325849
BaseRepresentation
bin11100001110110011…
…011000100111111100
32220020120111011102100
4130032303120213330
5444040124403200
621531535225100
72122121200566
oct341663304774
986216434370
1030313122300
1111945a7049a
125a5b978190
132b21208976
141677c76336
15bc637ad00
hex70ecd89fc

30313122300 has 108 divisors (see below), whose sum is σ = 95091396400. Its totient is φ = 8076983040.

The previous prime is 30313122293. The next prime is 30313122313. The reversal of 30313122300 is 322131303.

30313122300 is a `hidden beast` number, since 30 + 313 + 1 + 22 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1159776 + ... + 1185624.

Almost surely, 230313122300 is an apocalyptic number.

30313122300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30313122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47545698200).

30313122300 is an abundant number, since it is smaller than the sum of its proper divisors (64778274100).

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

30313122300 is a wasteful number, since it uses less digits than its factorization.

30313122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27172 (or 27162 counting only the distinct ones).

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

Adding to 30313122300 its reverse (322131303), we get a palindrome (30635253603).

The spelling of 30313122300 in words is "thirty billion, three hundred thirteen million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1303 2606 3909 5212 6515 7818 11727 13030 15636 19545 23454 25849 26060 32575 39090 46908 51698 58635 65150 77547 78180 97725 103396 117270 129245 130300 155094 195450 232641 234540 258490 293175 310188 387735 390900 465282 516980 586350 646225 775470 930564 1163205 1172700 1292450 1550940 1938675 2326410 2584900 3877350 4652820 5816025 7754700 11632050 23264100 33681247 67362494 101043741 134724988 168406235 202087482 303131223 336812470 404174964 505218705 606262446 673624940 842031175 1010437410 1212524892 1515656115 1684062350 2020874820 2526093525 3031312230 3368124700 5052187050 6062624460 7578280575 10104374100 15156561150 30313122300