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30131120313 = 337315878761
BaseRepresentation
bin11100000011111101…
…000110100010111001
32212202220000111122000
4130003331012202321
5443202031322223
621501514251213
72114451203550
oct340375064271
985686014560
1030131120313
1111862260728
125a0aa26b09
132ac25b3798
14165ba1ad97
15bb53c9543
hex703f468b9

30131120313 has 64 divisors (see below), whose sum is σ = 52757053440. Its totient is φ = 16632086400.

The previous prime is 30131120291. The next prime is 30131120333. The reversal of 30131120313 is 31302113103.

It is a happy number.

30131120313 is a `hidden beast` number, since 301 + 31 + 1 + 20 + 313 = 666.

It is not a de Polignac number, because 30131120313 - 210 = 30131119289 is a prime.

It is a super-2 number, since 2×301311203132 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30131120333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3434853 + ... + 3443613.

It is an arithmetic number, because the mean of its divisors is an integer number (824328960).

Almost surely, 230131120313 is an apocalyptic number.

It is an amenable number.

30131120313 is a deficient number, since it is larger than the sum of its proper divisors (22625933127).

30131120313 is a wasteful number, since it uses less digits than its factorization.

30131120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395 (or 9389 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 30131120313 its reverse (31302113103), we get a palindrome (61433233416).

The spelling of 30131120313 in words is "thirty billion, one hundred thirty-one million, one hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 587 651 837 1761 1953 4109 5283 5859 8761 12327 15849 18197 26283 36981 54591 61327 78849 110943 127379 163773 183981 236547 271591 382137 491319 551943 814773 1146411 1655829 1901137 2444319 3439233 5142707 5703411 7332957 15428121 17110233 35998949 46284363 51330699 107996847 138853089 159423917 323990541 478271751 971971623 1115967419 1434815253 3347902257 4304445759 10043706771 30131120313