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10106130312540 = 22325107895203927
BaseRepresentation
bin1001001100010000010001…
…0011101010110101011100
31022210010200121010201221200
42103010010103222311130
52311034323330000130
633254405301555500
72062100221203153
oct223040423526534
938703617121850
1010106130312540
113246a93105719
121172776715b90
13584008a2b822
1426d1d440059a
15127d3c456760
hex931044ead5c

10106130312540 has 72 divisors (see below), whose sum is σ = 30658109183520. Its totient is φ = 2694717777024.

The previous prime is 10106130312503. The next prime is 10106130312557. The reversal of 10106130312540 is 4521303160101.

It is a happy number.

10106130312540 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 61 + 30 + 31 + 2 + 540 = 666.

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 23 ways as a sum of consecutive naturals, for example, 659944 + ... + 4543983.

Almost surely, 210106130312540 is an apocalyptic number.

10106130312540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106130312540 is an abundant number, since it is smaller than the sum of its proper divisors (20551978870980).

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

10106130312540 is a wasteful number, since it uses less digits than its factorization.

10106130312540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214731 (or 5214726 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10106130312540 its reverse (4521303160101), we get a palindrome (14627433472641).

The spelling of 10106130312540 in words is "ten trillion, one hundred six billion, one hundred thirty million, three hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10789 21578 32367 43156 53945 64734 97101 107890 129468 161835 194202 215780 323670 388404 485505 647340 971010 1942020 5203927 10407854 15611781 20815708 26019635 31223562 46835343 52039270 62447124 78058905 93670686 104078540 156117810 187341372 234176715 312235620 468353430 936706860 56145168403 112290336806 168435505209 224580673612 280725842015 336871010418 505306515627 561451684030 673742020836 842177526045 1010613031254 1122903368060 1684355052090 2021226062508 2526532578135 3368710104180 5053065156270 10106130312540