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311301231012031 = 131312393492191507
BaseRepresentation
bin100011011001000000111011…
…1010010101110100010111111
31111211020002220000220011221211
41012302001313102232202333
5311300324410114341111
63022025451121505251
7122366525464216321
oct10662016722564277
91454202800804854
10311301231012031
1190210124333247
122aab83204a2227
13104917706b9750
1456c30ba7d3611
1525ec9d57db521
hex11b20774ae8bf

311301231012031 has 32 divisors (see below), whose sum is σ = 340192169856000. Its totient is φ = 283154496992640.

The previous prime is 311301231011971. The next prime is 311301231012041. The reversal of 311301231012031 is 130210132103113.

It is a de Polignac number, because none of the positive numbers 2k-311301231012031 is a prime.

It is a super-2 number, since 2×3113012310120312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311301231011993 and 311301231012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311301231012041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140953180 + ... + 143144686.

It is an arithmetic number, because the mean of its divisors is an integer number (10631005308000).

Almost surely, 2311301231012031 is an apocalyptic number.

311301231012031 is a deficient number, since it is larger than the sum of its proper divisors (28890938843969).

311301231012031 is a wasteful number, since it uses less digits than its factorization.

311301231012031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192239.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 311301231012031 its reverse (130210132103113), we get a palindrome (441511363115144).

The spelling of 311301231012031 in words is "three hundred eleven trillion, three hundred one billion, two hundred thirty-one million, twelve thousand, thirty-one".

Divisors: 1 13 131 239 349 1703 3107 4537 31309 45719 83411 407017 594347 1084343 2191507 10926841 28489591 142048933 287087417 523770173 764835943 3732136421 6809012249 9942867259 68613892663 100193508533 182795790377 891980604619 1302515610929 2376345274901 23946248539387 311301231012031