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10130101110 = 2335121730829
BaseRepresentation
bin10010110111100110…
…10001001101110110
3222010222120110022000
421123303101031312
5131221301213420
64353111120130
7506014303323
oct113363211566
928128513260
1010130101110
1143291a5998
121b68673046
13c5593cc8c
146c154bb4a
153e450b690
hex25bcd1376

10130101110 has 64 divisors (see below), whose sum is σ = 27036676800. Its totient is φ = 2699053056.

The previous prime is 10130101103. The next prime is 10130101127. The reversal of 10130101110 is 1110103101.

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 = 10130101092 and 10130101101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313176 + ... + 344004.

It is an arithmetic number, because the mean of its divisors is an integer number (422448075).

Almost surely, 210130101110 is an apocalyptic number.

10130101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10130101110 is an abundant number, since it is smaller than the sum of its proper divisors (16906575690).

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

10130101110 is a wasteful number, since it uses less digits than its factorization.

10130101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32062 (or 32056 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10130101110 its reverse (1110103101), we get a palindrome (11240204211).

The spelling of 10130101110 in words is "ten billion, one hundred thirty million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1217 2434 3651 6085 7302 10953 12170 18255 21906 30829 32859 36510 54765 61658 65718 92487 109530 154145 164295 184974 277461 308290 328590 462435 554922 832383 924870 1387305 1664766 2774610 4161915 8323830 37518893 75037786 112556679 187594465 225113358 337670037 375188930 562783395 675340074 1013010111 1125566790 1688350185 2026020222 3376700370 5065050555 10130101110