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10232123110 = 25117173131137
BaseRepresentation
bin10011000011110000…
…11100111011100110
3222102002112201011121
421201320130323212
5131423410414420
64411153524154
7511363416466
oct114170347346
928362481147
1010232123110
1143808485a0
121b9687365a
13c70b10c21
146d0d07ba6
153ed4602aa
hex261e1cee6

10232123110 has 128 divisors (see below), whose sum is σ = 20963847168. Its totient is φ = 3564288000.

The previous prime is 10232123059. The next prime is 10232123117. The reversal of 10232123110 is 1132123201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232123117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74686962 + ... + 74687098.

It is an arithmetic number, because the mean of its divisors is an integer number (163780056).

Almost surely, 210232123110 is an apocalyptic number.

10232123110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10232123110 is an abundant number, since it is smaller than the sum of its proper divisors (10731724058).

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

10232123110 is a wasteful number, since it uses less digits than its factorization.

10232123110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10232123110 its reverse (1132123201), we get a palindrome (11364246311).

Subtracting from 10232123110 its reverse (1132123201), we obtain a palindrome (9099999909).

The spelling of 10232123110 in words is "ten billion, two hundred thirty-two million, one hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 71 73 110 131 137 142 146 262 274 355 365 655 685 710 730 781 803 1310 1370 1441 1507 1562 1606 2882 3014 3905 4015 5183 7205 7535 7810 8030 9301 9563 9727 10001 10366 14410 15070 17947 18602 19126 19454 20002 25915 35894 46505 47815 48635 50005 51830 57013 89735 93010 95630 97270 100010 102311 105193 106997 110011 114026 179470 197417 204622 210386 213994 220022 285065 394834 511555 525965 534985 550055 570130 678973 710071 987085 1023110 1051930 1069970 1100110 1274237 1310131 1357946 1420142 1974170 2548474 2620262 3394865 3550355 6371185 6550655 6789730 7100710 7468703 7810781 12742370 13101310 14016607 14411441 14937406 15621562 28033214 28822882 37343515 39053905 70083035 72057205 74687030 78107810 93019301 140166070 144114410 186038602 465096505 930193010 1023212311 2046424622 5116061555 10232123110