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102281933 = 1361128981
BaseRepresentation
bin1100001100010…
…11001011001101
321010110110102202
412012023023031
5202141010213
614052131245
72351245025
oct606131315
9233413382
10102281933
115280aa26
122a306b25
1318262370
14d826a85
158ea5b58
hex618b2cd

102281933 has 8 divisors (see below), whose sum is σ = 111956376. Its totient is φ = 92865600.

The previous prime is 102281929. The next prime is 102281939. The reversal of 102281933 is 339182201.

It can be written as a sum of positive squares in 4 ways, for example, as 6770404 + 95511529 = 2602^2 + 9773^2 .

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 102281933 - 22 = 102281929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102281896 and 102281905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102281939) 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 7 ways as a sum of consecutive naturals, for example, 63698 + ... + 65283.

It is an arithmetic number, because the mean of its divisors is an integer number (13994547).

Almost surely, 2102281933 is an apocalyptic number.

102281933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102281933 is a deficient number, since it is larger than the sum of its proper divisors (9674443).

102281933 is a wasteful number, since it uses less digits than its factorization.

102281933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129055.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 102281933 is about 10113.4530700449. The cubic root of 102281933 is about 467.6629616711.

The spelling of 102281933 in words is "one hundred two million, two hundred eighty-one thousand, nine hundred thirty-three".

Divisors: 1 13 61 793 128981 1676753 7867841 102281933