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23201322331031 = 13197110651124213
BaseRepresentation
bin1010100011001111110101…
…00100110110101110010111
310001011000200001012211202122
411101213322210312232113
511020112302004043111
6121202312413530155
74613145252611345
oct521477244665627
9101130601184678
1023201322331031
117435697664879
1227286a3aa395b
13cc3b4c0891b0
145a2d42aca995
152a37bdba0cdb
hex1519fa936b97

23201322331031 has 32 divisors (see below), whose sum is σ = 26674250964480. Its totient is φ = 20001609936000.

The previous prime is 23201322330877. The next prime is 23201322331043. The reversal of 23201322331031 is 13013322310232.

It is a de Polignac number, because none of the positive numbers 2k-23201322331031 is a prime.

It is a super-3 number, since 3×232013223310313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201322331081) 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, 186724481 + ... + 186848693.

It is an arithmetic number, because the mean of its divisors is an integer number (833570342640).

Almost surely, 223201322331031 is an apocalyptic number.

23201322331031 is a deficient number, since it is larger than the sum of its proper divisors (3472928633449).

23201322331031 is a wasteful number, since it uses less digits than its factorization.

23201322331031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134967.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 23201322331031 its reverse (13013322310232), we get a palindrome (36214644641263).

The spelling of 23201322331031 in words is "twenty-three trillion, two hundred one billion, three hundred twenty-two million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 13 19 71 247 923 1349 10651 17537 124213 138463 202369 756221 1614769 2360047 2630797 8819123 9830873 14368199 30680611 114648599 167563337 186786587 1322992663 2178323381 17198904619 25136860597 93932479073 326779187761 1221122227949 1784717102387 23201322331031