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311111003021 = 713447113293
BaseRepresentation
bin1001000011011111010…
…10010010101110001101
31002202000212020110111112
410201233222102232031
520044123404044041
6354531124301405
731322422615220
oct4415752225615
91082025213445
10311111003021
1110aa3a061325
1250366541865
1323450a50000
14110b4a695b7
15815cd77deb
hex486fa92b8d

311111003021 has 80 divisors (see below), whose sum is σ = 398215125504. Its totient is φ = 237969478656.

The previous prime is 311111002967. The next prime is 311111003057. The reversal of 311111003021 is 120300111113.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-311111003021 is a prime.

It is a super-2 number, since 2×3111110030212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311111002987 and 311111003005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311111003221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1061812151 + ... + 1061812443.

Almost surely, 2311111003021 is an apocalyptic number.

It is an amenable number.

311111003021 is a deficient number, since it is larger than the sum of its proper divisors (87104122483).

311111003021 is an equidigital number, since it uses as much as digits as its factorization.

311111003021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 311111003021 its reverse (120300111113), we get a palindrome (431411114134).

The spelling of 311111003021 in words is "three hundred eleven billion, one hundred eleven million, three thousand, twenty-one".

Divisors: 1 7 13 47 91 113 169 293 329 611 791 1183 1469 2051 2197 3809 4277 5311 7943 10283 13771 15379 19097 26663 28561 33109 37177 49517 55601 69043 96397 103259 133679 179023 199927 231763 248261 346619 430417 483301 643721 722813 897559 1253161 1342367 1556123 1737827 2327299 3012919 3227393 4506047 5595421 6282913 8368373 9396569 10892861 11668267 16291093 20229599 22591751 30254887 39167947 58578611 72740473 81677869 141607193 151687471 211784209 262984787 393313531 509183311 945626149 1061812297 1840893509 2753194717 3418802231 6619383043 23931615617 44444429003 311111003021