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102213163 = 13173171459
BaseRepresentation
bin1100001011110…
…10011000101011
321010022222002201
412011322120223
5202131310123
614050441031
72350540363
oct605723053
9233288081
10102213163
1152773298
122a293177
1318239c80
14d8099a3
158e905ad
hex617a62b

102213163 has 16 divisors (see below), whose sum is σ = 116998560. Its totient is φ = 88459776.

The previous prime is 102213151. The next prime is 102213187. The reversal of 102213163 is 361312201.

It is a cyclic number.

It is not a de Polignac number, because 102213163 - 29 = 102212651 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102213163.

It is not an unprimeable number, because it can be changed into a prime (102213113) 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, 69328 + ... + 70786.

It is an arithmetic number, because the mean of its divisors is an integer number (7312410).

Almost surely, 2102213163 is an apocalyptic number.

102213163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102213163 is a deficient number, since it is larger than the sum of its proper divisors (14785397).

102213163 is a wasteful number, since it uses less digits than its factorization.

102213163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 102213163 is about 10110.0525715745. The cubic root of 102213163 is about 467.5581259764.

Adding to 102213163 its reverse (361312201), we get a palindrome (463525364).

The spelling of 102213163 in words is "one hundred two million, two hundred thirteen thousand, one hundred sixty-three".

Divisors: 1 13 17 221 317 1459 4121 5389 18967 24803 70057 322439 462503 6012539 7862551 102213163