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10130102010 = 2325746334729
BaseRepresentation
bin10010110111100110…
…10001011011111010
3222010222120111112100
421123303101123322
5131221301231020
64353111124230
7506014306050
oct113363213372
928128514470
1010130102010
1143291a6636
121b68673676
13c55940502
146c154c1d0
153e450ba90
hex25bcd16fa

10130102010 has 96 divisors (see below), whose sum is σ = 30166755840. Its totient is φ = 2310384384.

The previous prime is 10130102009. The next prime is 10130102029. The reversal of 10130102010 is 1020103101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10130101983 and 10130102001.

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, 274326 + ... + 309054.

It is an arithmetic number, because the mean of its divisors is an integer number (314237040).

Almost surely, 210130102010 is an apocalyptic number.

10130102010 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 10130102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083377920).

10130102010 is an abundant number, since it is smaller than the sum of its proper divisors (20036653830).

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

10130102010 is a wasteful number, since it uses less digits than its factorization.

10130102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35212 (or 35209 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10130102010 its reverse (1020103101), we get a palindrome (11150205111).

The spelling of 10130102010 in words is "ten billion, one hundred thirty million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 463 630 926 1389 2315 2778 3241 4167 4630 6482 6945 8334 9723 13890 16205 19446 20835 29169 32410 34729 41670 48615 58338 69458 97230 104187 145845 173645 208374 243103 291690 312561 347290 486206 520935 625122 729309 1041870 1215515 1458618 1562805 2187927 2431030 3125610 3646545 4375854 7293090 10939635 16079527 21879270 32159054 48238581 80397635 96477162 112556689 144715743 160795270 225113378 241192905 289431486 337670067 482385810 562783445 675340134 723578715 1013010201 1125566890 1447157430 1688350335 2026020402 3376700670 5065051005 10130102010