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10023132102 = 2317231199937
BaseRepresentation
bin10010101010110110…
…01101101111000110
3221212112021212101220
421111123031233012
5131011410211402
64334330301210
7503245134324
oct112533155706
927775255356
1010023132102
114283884555
121b38887806
13c397293c9
146b1264d14
153d9e2bdbc
hex2556cdbc6

10023132102 has 96 divisors (see below), whose sum is σ = 22115788800. Its totient is φ = 3024552960.

The previous prime is 10023132083. The next prime is 10023132113. The reversal of 10023132102 is 20123132001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10696578 + ... + 10697514.

It is an arithmetic number, because the mean of its divisors is an integer number (230372800).

Almost surely, 210023132102 is an apocalyptic number.

10023132102 is an abundant number, since it is smaller than the sum of its proper divisors (12092656698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10023132102 is a wasteful number, since it uses less digits than its factorization.

10023132102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10023132102 its reverse (20123132001), we get a palindrome (30146264103).

The spelling of 10023132102 in words is "ten billion, twenty-three million, one hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 199 289 398 527 578 597 867 937 1054 1194 1581 1734 1874 2811 3162 3383 5622 6169 6766 8959 10149 12338 15929 17918 18507 20298 26877 29047 31858 37014 47787 53754 57511 58094 87141 95574 104873 115022 172533 174282 186463 209746 270793 314619 345066 372926 493799 541586 559389 629238 812379 987598 1118778 1481397 1624758 1782841 2962794 3169871 3565682 5348523 5780353 6339742 8394583 9509613 10697046 11560706 16789166 17341059 19019226 25183749 34682118 50367498 53887807 98266001 107775614 161663421 196532002 294798003 323326842 589596006 1670522017 3341044034 5011566051 10023132102