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10131440220 = 22325115116889
BaseRepresentation
bin10010110111110000…
…11000001001011100
3222011002002111012200
421123320120021130
5131222122041340
64353155531500
7506031551406
oct113370301134
928132074180
1010131440220
114329a2aaa0
121b68bb9b90
13c55cbb655
146c17b9b76
153e46c3330
hex25be1825c

10131440220 has 72 divisors (see below), whose sum is σ = 33525863280. Its totient is φ = 2456106240.

The previous prime is 10131440183. The next prime is 10131440251. The reversal of 10131440220 is 2204413101.

10131440220 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 440 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10131440193 and 10131440202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556465 + ... + 2560424.

It is an arithmetic number, because the mean of its divisors is an integer number (465636990).

Almost surely, 210131440220 is an apocalyptic number.

10131440220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131440220 is an abundant number, since it is smaller than the sum of its proper divisors (23394423060).

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

10131440220 is a wasteful number, since it uses less digits than its factorization.

10131440220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116915 (or 5116910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10131440220 its reverse (2204413101), we get a palindrome (12335853321).

The spelling of 10131440220 in words is "ten billion, one hundred thirty-one million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5116889 10233778 15350667 20467556 25584445 30701334 46052001 51168890 56285779 61402668 76753335 92104002 102337780 112571558 153506670 168857337 184208004 225143116 230260005 281428895 307013340 337714674 460520010 506572011 562857790 675429348 844286685 921040020 1013144022 1125715580 1688573370 2026288044 2532860055 3377146740 5065720110 10131440220