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102200000031 = 3237306906907
BaseRepresentation
bin101111100101110011…
…0000011111000011111
3100202210111022220221100
41133023212003320133
53133301200000111
6114541112404143
710245416444523
oct1371346037037
9322714286840
10102200000031
113a385265748
12179826a6653
1398395410cc
144d372dbd83
1529d2456756
hex17cb983e1f

102200000031 has 12 divisors (see below), whose sum is σ = 151612012552. Its totient is φ = 66291891696.

The previous prime is 102200000029. The next prime is 102200000033. The reversal of 102200000031 is 130000002201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102200000029) and next prime (102200000033).

It is not a de Polignac number, because 102200000031 - 21 = 102200000029 is a prime.

It is a super-2 number, since 2×1022000000312 (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).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102199999959 and 102200000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200000033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153453121 + ... + 153453786.

Almost surely, 2102200000031 is an apocalyptic number.

102200000031 is a deficient number, since it is larger than the sum of its proper divisors (49412012521).

102200000031 is a wasteful number, since it uses less digits than its factorization.

102200000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306906950 (or 306906947 counting only the distinct ones).

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

Adding to 102200000031 its reverse (130000002201), we get a palindrome (232200002232).

The spelling of 102200000031 in words is "one hundred two billion, two hundred million, thirty-one", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 306906907 920720721 2762162163 11355555559 34066666677 102200000031