Base | Representation |
---|---|
bin | 101111000010101000… |
… | …1000110010110111111 |
3 | 100122202021010210102100 |
4 | 1132011101012112333 |
5 | 3123342121200111 |
6 | 114224043200143 |
7 | 10204241453034 |
oct | 1360521062677 |
9 | 318667123370 |
10 | 101020100031 |
11 | 3992a238384 |
12 | 176b3516053 |
13 | 96abc66726 |
14 | 4c6472138b |
15 | 2963a8b756 |
hex | 17854465bf |
101020100031 has 6 divisors (see below), whose sum is σ = 145917922280. Its totient is φ = 67346733348.
The previous prime is 101020100023. The next prime is 101020100053. The reversal of 101020100031 is 130001020101.
It is not a de Polignac number, because 101020100031 - 23 = 101020100023 is a prime.
It is a super-2 number, since 2×1010201000312 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11224455559 = 101020100031 / (1 + 0 + 1 + 0 + 2 + 0 + 1 + 0 + 0 + 0 + 3 + 1).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 101020099986 and 101020100022.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101020100021) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5612227771 + ... + 5612227788.
Almost surely, 2101020100031 is an apocalyptic number.
101020100031 is a deficient number, since it is larger than the sum of its proper divisors (44897822249).
101020100031 is a wasteful number, since it uses less digits than its factorization.
101020100031 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11224455565 (or 11224455562 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 101020100031 its reverse (130001020101), we get a palindrome (231021120132).
The spelling of 101020100031 in words is "one hundred one billion, twenty million, one hundred thousand, thirty-one".
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