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102212981 = 1337212501
BaseRepresentation
bin1100001011110…
…10010101110101
321010022221211222
412011322111311
5202131303411
614050440125
72350540013
oct605722565
9233287758
10102212981
1152773142
122a293045
1318239b70
14d8098b3
158e904db
hex617a575

102212981 has 8 divisors (see below), whose sum is σ = 113051064. Its totient is φ = 91800000.

The previous prime is 102212953. The next prime is 102212987. The reversal of 102212981 is 189212201.

It can be written as a sum of positive squares in 4 ways, for example, as 38068900 + 64144081 = 6170^2 + 8009^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102212981 - 218 = 101950837 is a prime.

It is a super-2 number, since 2×1022129812 = 20894986969812722, which contains 22 as substring.

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 102212981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105770 + ... + 106731.

It is an arithmetic number, because the mean of its divisors is an integer number (14131383).

Almost surely, 2102212981 is an apocalyptic number.

It is an amenable number.

102212981 is a deficient number, since it is larger than the sum of its proper divisors (10838083).

102212981 is a wasteful number, since it uses less digits than its factorization.

102212981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212551.

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 102212981 is about 10110.0435706282. The cubic root of 102212981 is about 467.5578484660.

The spelling of 102212981 in words is "one hundred two million, two hundred twelve thousand, nine hundred eighty-one".

Divisors: 1 13 37 481 212501 2762513 7862537 102212981