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10116515010 = 235729837001
BaseRepresentation
bin10010110101111110…
…11100010011000010
3222010001000012200010
421122333130103002
5131204311440020
64351504005350
7505460646600
oct113277342302
928101005603
1010116515010
114321566508
121b64000856
13c52b94074
146bd812870
153e3225de0
hex25afdc4c2

10116515010 has 96 divisors (see below), whose sum is σ = 28276428672. Its totient is φ = 2309664000.

The previous prime is 10116514997. The next prime is 10116515027. The reversal of 10116515010 is 1051561101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1441510 + ... + 1448510.

It is an arithmetic number, because the mean of its divisors is an integer number (294546132).

Almost surely, 210116515010 is an apocalyptic number.

10116515010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116515010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138214336).

10116515010 is an abundant number, since it is smaller than the sum of its proper divisors (18159913662).

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

10116515010 is a wasteful number, since it uses less digits than its factorization.

10116515010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 10116515010 in words is "ten billion, one hundred sixteen million, five hundred fifteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 983 1470 1966 2949 4915 5898 6881 7001 9830 13762 14002 14745 20643 21003 29490 34405 35005 41286 42006 48167 49007 68810 70010 96334 98014 103215 105015 144501 147021 206430 210030 240835 245035 289002 294042 343049 481670 490070 686098 722505 735105 1029147 1445010 1470210 1715245 2058294 3430490 5145735 6881983 10291470 13763966 20645949 34409915 41291898 48173881 68819830 96347762 103229745 144521643 206459490 240869405 289043286 337217167 481738810 674434334 722608215 1011651501 1445216430 1686085835 2023303002 3372171670 5058257505 10116515010