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102203031 = 3717353811
BaseRepresentation
bin1100001011101…
…11111010010111
321010022110012110
412011313322113
5202130444111
614050322103
72350466010
oct605677227
9233273173
10102203031
1152766717
122a289333
1318235488
14d806007
158e8c5a6
hex6177e97

102203031 has 32 divisors (see below), whose sum is σ = 165570048. Its totient is φ = 54743040.

The previous prime is 102203029. The next prime is 102203041. The reversal of 102203031 is 130302201.

It is a happy number.

It is not a de Polignac number, because 102203031 - 21 = 102203029 is a prime.

It is a super-2 number, since 2×1022030312 = 20890919091173922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102202998 and 102203016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125616 + ... + 126426.

It is an arithmetic number, because the mean of its divisors is an integer number (5174064).

Almost surely, 2102203031 is an apocalyptic number.

102203031 is a deficient number, since it is larger than the sum of its proper divisors (63367017).

102203031 is a wasteful number, since it uses less digits than its factorization.

102203031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102203031 is about 10109.5514737302. The cubic root of 102203031 is about 467.5426763828.

Adding to 102203031 its reverse (130302201), we get a palindrome (232505232).

The spelling of 102203031 in words is "one hundred two million, two hundred three thousand, thirty-one".

Divisors: 1 3 7 17 21 51 119 353 357 811 1059 2433 2471 5677 6001 7413 13787 17031 18003 41361 42007 96509 126021 286283 289527 858849 2003981 4866811 6011943 14600433 34067677 102203031