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10100028315 = 351331253897
BaseRepresentation
bin10010110100000001…
…00011001110011011
3222001212222121011210
421122000203032123
5131141101401230
64350114354203
7505200552456
oct113200431633
928055877153
1010100028315
114313225843
121b5a58b963
13c4c640b20
146bb56049d
153e1a6aeb0
hex25a02339b

10100028315 has 48 divisors (see below), whose sum is σ = 17982959904. Its totient is φ = 4811834880.

The previous prime is 10100028311. The next prime is 10100028319. The reversal of 10100028315 is 51382000101.

It is an interprime number because it is at equal distance from previous prime (10100028311) and next prime (10100028319).

It is not a de Polignac number, because 10100028315 - 22 = 10100028311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100028291 and 10100028300.

It is not an unprimeable number, because it can be changed into a prime (10100028311) 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, 160447 + ... + 214343.

It is an arithmetic number, because the mean of its divisors is an integer number (374644998).

Almost surely, 210100028315 is an apocalyptic number.

10100028315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10100028315 is a deficient number, since it is larger than the sum of its proper divisors (7882931589).

10100028315 is a wasteful number, since it uses less digits than its factorization.

10100028315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53980 (or 53949 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 10100028315 its reverse (51382000101), we get a palindrome (61482028416).

The spelling of 10100028315 in words is "ten billion, one hundred million, twenty-eight thousand, three hundred fifteen".

Divisors: 1 3 5 13 15 31 39 65 93 155 195 403 465 961 1209 2015 2883 4805 6045 12493 14415 37479 53897 62465 161691 187395 269485 700661 808455 1670807 2101983 3503305 5012421 8354035 10509915 21720491 25062105 51795017 65161473 108602455 155385051 258975085 325807365 673335221 776925255 2020005663 3366676105 10100028315