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100352024025 = 352111952312241
BaseRepresentation
bin101110101110101110…
…0100101110111011001
3100121000201001000102120
41131131130211313121
53121010104232100
6114033500051453
710151550062421
oct1353534456731
9317021030376
10100352024025
1139617112a50
1217547833b89
139603723c96
144bddad7481
1529250c30a0
hex175d725dd9

100352024025 has 96 divisors (see below), whose sum is σ = 190904686080. Its totient is φ = 46002816000.

The previous prime is 100352023991. The next prime is 100352024041. The reversal of 100352024025 is 520420253001.

It is not a de Polignac number, because 100352024025 - 28 = 100352023769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100352023986 and 100352024004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8191905 + ... + 8204145.

It is an arithmetic number, because the mean of its divisors is an integer number (1988590480).

Almost surely, 2100352024025 is an apocalyptic number.

100352024025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100352024025 is a deficient number, since it is larger than the sum of its proper divisors (90552662055).

100352024025 is a wasteful number, since it uses less digits than its factorization.

100352024025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12807 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 100352024025 its reverse (520420253001), we get a palindrome (620772277026).

The spelling of 100352024025 in words is "one hundred billion, three hundred fifty-two million, twenty-four thousand, twenty-five".

Divisors: 1 3 5 11 15 19 25 33 55 57 75 95 165 209 275 285 475 523 627 825 1045 1425 1569 2615 3135 5225 5753 7845 9937 12241 13075 15675 17259 28765 29811 36723 39225 49685 61205 86295 109307 134651 143825 149055 183615 232579 248425 306025 327921 403953 431475 546535 673255 697737 745275 918075 1162895 1639605 2019765 2558369 2732675 3366275 3488685 5814475 6402043 7675107 8198025 10098825 12791845 17443425 19206129 32010215 38375535 63959225 70422473 96030645 121638817 160051075 191877675 211267419 352112365 364916451 480153225 608194085 1056337095 1338026987 1760561825 1824582255 3040970425 4014080961 5281685475 6690134935 9122911275 20070404805 33450674675 100352024025