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311231011121013 = 359109160723574259
BaseRepresentation
bin100011011000100000001110…
…1110111000110011101110101
31111210222101122021210010022110
41012301000131313012131311
5311243202102321333023
63021533315213521233
7122361461410046064
oct10661003567063565
91453871567703273
10311231011121013
1190193370002865
122aaa67a3aa3219
1310487c5c842189
1456bd9388dc1db
1525eac75c42a93
hex11b101ddc6775

311231011121013 has 64 divisors (see below), whose sum is σ = 426425700096000. Its totient is φ = 201840460740864.

The previous prime is 311231011121003. The next prime is 311231011121039. The reversal of 311231011121013 is 310121110132113.

It is not a de Polignac number, because 311231011121013 - 26 = 311231011120949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311231011121003) 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, 73076074678 + ... + 73076078936.

It is an arithmetic number, because the mean of its divisors is an integer number (6662901564000).

Almost surely, 2311231011121013 is an apocalyptic number.

It is an amenable number.

311231011121013 is a deficient number, since it is larger than the sum of its proper divisors (115194688974987).

311231011121013 is a wasteful number, since it uses less digits than its factorization.

311231011121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 311231011121013 its reverse (310121110132113), we get a palindrome (621352121253126).

The spelling of 311231011121013 in words is "three hundred eleven trillion, two hundred thirty-one billion, eleven million, one hundred twenty-one thousand, thirteen".

Divisors: 1 3 59 109 177 327 1607 2357 4259 4821 6431 7071 12777 19293 94813 139063 175163 251281 256913 284439 417189 464231 525489 753843 770739 1392693 3787699 6844213 10038463 10334617 11363097 15157867 20532639 27389629 30115389 31003851 45473601 82168887 223474241 403808567 412859191 592269317 670422723 746019217 1094192467 1211425701 1238577573 1776807951 2238057651 3282577401 16131810041 24358692269 44015133803 48395430123 64557355553 73076076807 132045401409 193672066659 951776792419 1758367294469 2855330377257 5275101883407 103743670373671 311231011121013