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231131202031301 = 11136752356381929
BaseRepresentation
bin110100100011011001101101…
…001100011000111011000101
31010022100221000212112000010012
4310203121231030120323011
5220243323200210000201
62135324113002040005
766453451436435615
oct6443315514307305
91108327025460105
10231131202031301
1167711212a72320
1221b0a937aa9005
139bc776a8c43c0
144110b4a3c0a45
151bac3bdc305bb
hexd2366d318ec5

231131202031301 has 64 divisors (see below), whose sum is σ = 276612333419520. Its totient is φ = 190355028272640.

The previous prime is 231131202031297. The next prime is 231131202031343. The reversal of 231131202031301 is 103130202131132.

231131202031301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231131202031301 - 22 = 231131202031297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231131202031001) 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, 2821074905 + ... + 2821156833.

It is an arithmetic number, because the mean of its divisors is an integer number (4322067709680).

Almost surely, 2231131202031301 is an apocalyptic number.

It is an amenable number.

231131202031301 is a deficient number, since it is larger than the sum of its proper divisors (45481131388219).

231131202031301 is a wasteful number, since it uses less digits than its factorization.

231131202031301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83106.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 231131202031301 its reverse (103130202131132), we get a palindrome (334261404162433).

The spelling of 231131202031301 in words is "two hundred thirty-one trillion, one hundred thirty-one billion, two hundred two million, thirty-one thousand, three hundred one".

Divisors: 1 11 13 67 143 523 563 737 871 5753 6193 6799 7319 9581 35041 37721 74789 80509 81929 294449 385451 414931 455533 490373 901219 1065077 3238939 3827837 5010863 5394103 5489243 11715847 19728083 42106207 42848867 46126027 60381673 71360159 217008913 256465079 471337537 507386297 557035271 599638351 784961749 2821115869 2870874089 3090443809 6127387981 6596021861 24123912121 31579614979 33994881899 37321363157 40175769517 265363033331 313610857573 410534994727 441933464687 1616302112107 3449719433303 17779323233177 21011927457391 231131202031301