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311232020232113 = 4710110710943113043
BaseRepresentation
bin100011011000100000101101…
…0000000100011011110110001
31111210222111020121121021111122
41012301001122000203132301
5311243211134134411423
63021534003302352025
7122361525412255001
oct10661013200433661
91453874217537448
10311232020232113
1190193838689982
122aaa6a25a2b615
131048809091c436
1456bd9d293c001
1525eacd46238c8
hex11b105a0237b1

311232020232113 has 64 divisors (see below), whose sum is σ = 327757310115840. Its totient is φ = 295324926048000.

The previous prime is 311232020232047. The next prime is 311232020232121.

311232020232113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311232020232113 - 214 = 311232020215729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311232020232163) 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, 23861989970 + ... + 23862003012.

It is an arithmetic number, because the mean of its divisors is an integer number (5121207970560).

Almost surely, 2311232020232113 is an apocalyptic number.

It is an amenable number.

311232020232113 is a deficient number, since it is larger than the sum of its proper divisors (16525289883727).

311232020232113 is a wasteful number, since it uses less digits than its factorization.

311232020232113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 311232020232113 in words is "three hundred eleven trillion, two hundred thirty-two billion, twenty million, two hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 47 101 107 109 431 4747 5029 5123 10807 11009 11663 13043 20257 43531 46117 46979 507929 517423 548161 613021 1177963 1317343 1395601 1421687 2045957 2167499 2208013 4657817 4744879 5026753 5621533 55364261 61915121 65593247 66819289 140955701 143590387 152120509 218917399 223009313 236257391 264212051 507702053 567774833 601504031 612747097 6624917947 6748748189 7149663923 15364171409 23861996491 26685417151 28270689457 28799113559 60751907131 61887456797 65563939379 722116056223 2855339635157 2908710469459 3081505150813 6621957877279 311232020232113