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202100031 = 32737277313
BaseRepresentation
bin11000000101111…
…00110100111111
3112002021202010100
430002330310333
5403214200111
632015412143
75002551630
oct1402746477
9462252110
10202100031
11a4097821
1257824053
1332b41123
141cbab887
1512b21756
hexc0bcd3f

202100031 has 48 divisors (see below), whose sum is σ = 344977984. Its totient is φ = 111601152.

The previous prime is 202099993. The next prime is 202100033. The reversal of 202100031 is 130001202.

It is a happy number.

It is not a de Polignac number, because 202100031 - 211 = 202097983 is a prime.

It is a super-2 number, since 2×2021000312 = 81688845060401922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202099986 and 202100022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645531 + ... + 645843.

Almost surely, 2202100031 is an apocalyptic number.

202100031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

202100031 is a deficient number, since it is larger than the sum of its proper divisors (142877953).

202100031 is a wasteful number, since it uses less digits than its factorization.

202100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 202100031 is about 14216.1890462951. The cubic root of 202100031 is about 586.8432677198.

Adding to 202100031 its reverse (130001202), we get a palindrome (332101233).

The spelling of 202100031 in words is "two hundred two million, one hundred thousand, thirty-one".

Divisors: 1 3 7 9 21 37 63 111 259 277 313 333 777 831 939 1939 2191 2331 2493 2817 5817 6573 10249 11581 17451 19719 30747 34743 71743 81067 86701 92241 104229 215229 243201 260103 606907 645687 729603 780309 1820721 3207937 5462163 9623811 22455559 28871433 67366677 202100031