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931202020100101 = 171491361270116177
BaseRepresentation
bin1101001110111011000101110…
…1100111110100100000000101
311112010010001011212102100102011
43103232301131213310200011
51434023303214121200401
613100300145150214221
7400100061100631251
oct32356613547644005
94463101155370364
10931202020100101
1124a789616a61722
12885352344b4371
1330c79c872cc889
14125d45bd987261
15729ca7ca24451
hex34eec5d9f4805

931202020100101 has 16 divisors (see below), whose sum is σ = 993325232977200. Its totient is φ = 869903742484480.

The previous prime is 931202020100069. The next prime is 931202020100129. The reversal of 931202020100101 is 101001020202139.

It can be written as a sum of positive squares in 8 ways, for example, as 65387519925025 + 865814500175076 = 8086255^2 + 29424726^2 .

It is not a de Polignac number, because 931202020100101 - 25 = 931202020100069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (931202020100201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131610676 + ... + 138505501.

It is an arithmetic number, because the mean of its divisors is an integer number (62082827061075).

Almost surely, 2931202020100101 is an apocalyptic number.

It is an amenable number.

931202020100101 is a deficient number, since it is larger than the sum of its proper divisors (62123212877099).

931202020100101 is a wasteful number, since it uses less digits than its factorization.

931202020100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270117704.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 931202020100101 in words is "nine hundred thirty-one trillion, two hundred two billion, twenty million, one hundred thousand, one hundred one".

Divisors: 1 17 149 1361 2533 23137 202789 3447413 270116177 4591975009 40247310373 367628116897 684204276341 6249677987249 54776589417653 931202020100101