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102213771 = 31123134669
BaseRepresentation
bin1100001011110…
…10100010001011
321010022222221020
412011322202023
5202131320041
614050443523
72350542222
oct605724213
9233288836
10102213771
11527737a0
122a2935a3
131823a32a
14d809cb9
158e90866
hex617a88b

102213771 has 16 divisors (see below), whose sum is σ = 155139840. Its totient is φ = 59253920.

The previous prime is 102213743. The next prime is 102213773. The reversal of 102213771 is 177312201.

It is not a de Polignac number, because 102213771 - 25 = 102213739 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102213773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66576 + ... + 68093.

It is an arithmetic number, because the mean of its divisors is an integer number (9696240).

Almost surely, 2102213771 is an apocalyptic number.

102213771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102213771 is a deficient number, since it is larger than the sum of its proper divisors (52926069).

102213771 is a wasteful number, since it uses less digits than its factorization.

102213771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134706.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 102213771 is about 10110.0826406118. The cubic root of 102213771 is about 467.5590530415.

Adding to 102213771 its reverse (177312201), we get a palindrome (279525972).

The spelling of 102213771 in words is "one hundred two million, two hundred thirteen thousand, seven hundred seventy-one".

Divisors: 1 3 11 23 33 69 253 759 134669 404007 1481359 3097387 4444077 9292161 34071257 102213771