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102126927 = 3723173307
BaseRepresentation
bin1100001011001…
…01010101001111
321010011120210210
412011211111033
5202121030202
614044533503
72350031100
oct605452517
9233146723
10102126927
1152714521
122a251293
1318209946
14d7c63a7
158e74c6c
hex616554f

102126927 has 48 divisors (see below), whose sum is σ = 166290432. Its totient is φ = 55520640.

The previous prime is 102126889. The next prime is 102126931. The reversal of 102126927 is 729621201.

It is not a de Polignac number, because 102126927 - 26 = 102126863 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102126894 and 102126903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102124927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332508 + ... + 332814.

It is an arithmetic number, because the mean of its divisors is an integer number (3464384).

Almost surely, 2102126927 is an apocalyptic number.

102126927 is a deficient number, since it is larger than the sum of its proper divisors (64163505).

102126927 is a wasteful number, since it uses less digits than its factorization.

102126927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 102126927 is about 10105.7868075672. The cubic root of 102126927 is about 467.4265979489.

The spelling of 102126927 in words is "one hundred two million, one hundred twenty-six thousand, nine hundred twenty-seven".

Divisors: 1 3 7 21 31 49 73 93 147 217 219 307 511 651 921 1519 1533 2149 2263 3577 4557 6447 6789 9517 10731 15043 15841 22411 28551 45129 47523 66619 67233 110887 156877 199857 332661 466333 470631 694741 1098139 1398999 2084223 3294417 4863187 14589561 34042309 102126927