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300312313101 = 34314722311411
BaseRepresentation
bin1000101111011000000…
…00100011110100001101
31001201011021121011210000
410113230000203310031
514410014423004401
6345543411034513
730461006354223
oct4275400436415
91051137534700
10300312313101
111063a85207a9
124a251b9ba39
132241c74b068
141076c7dcb13
157c29d01186
hex45ec023d0d

300312313101 has 80 divisors (see below), whose sum is σ = 475101462528. Its totient is φ = 188760650400.

The previous prime is 300312313051. The next prime is 300312313129. The reversal of 300312313101 is 101313213003.

It is a happy number.

300312313101 is a `hidden beast` number, since 30 + 0 + 312 + 313 + 10 + 1 = 666.

It is not a de Polignac number, because 300312313101 - 233 = 291722378509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300312313151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26312086 + ... + 26323496.

Almost surely, 2300312313101 is an apocalyptic number.

300312313101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

300312313101 is a deficient number, since it is larger than the sum of its proper divisors (174789149427).

300312313101 is a wasteful number, since it uses less digits than its factorization.

300312313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11724 (or 11715 counting only the distinct ones).

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

Adding to 300312313101 its reverse (101313213003), we get a palindrome (401625526104).

The spelling of 300312313101 in words is "three hundred billion, three hundred twelve million, three hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 27 31 47 81 93 141 223 279 423 669 837 1269 1457 2007 2511 3807 4371 6021 6913 10481 11411 13113 18063 20739 31443 34233 39339 62217 94329 102699 118017 186651 282987 308097 324911 353741 536317 559953 848961 924291 974733 1061223 1608951 2544653 2924199 3183669 4826853 7633959 8772597 9551007 14480559 16625827 22901877 26317791 28653021 43441677 49877481 68705631 78884243 119598691 149632443 206116893 236652729 358796073 448897329 709958187 1076388219 1346691987 2129874561 3229164657 3707559421 6389623683 9687493971 11122678263 33368034789 100104104367 300312313101