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10031110020 = 22325416720287
BaseRepresentation
bin10010101011110011…
…01001011110000100
3221220002022012001100
421111321221132010
5131020431010040
64335213300100
7503403012501
oct112571513604
927802265040
1010031110020
114288333478
121b3b494630
13c3b290779
146b23404a8
153da9a5b30
hex255e69784

10031110020 has 144 divisors (see below), whose sum is σ = 31636620288. Its totient is φ = 2570641920.

The previous prime is 10031109973. The next prime is 10031110039. The reversal of 10031110020 is 2001113001.

10031110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10031109984 and 10031110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484317 + ... + 504603.

It is an arithmetic number, because the mean of its divisors is an integer number (219698752).

Almost surely, 210031110020 is an apocalyptic number.

10031110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818310144).

10031110020 is an abundant number, since it is smaller than the sum of its proper divisors (21605510268).

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

10031110020 is a wasteful number, since it uses less digits than its factorization.

10031110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20410 (or 20405 counting only the distinct ones).

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

Adding to 10031110020 its reverse (2001113001), we get a palindrome (12032223021).

The spelling of 10031110020 in words is "ten billion, thirty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 67 82 90 123 134 164 180 201 205 246 268 335 369 402 410 492 603 615 670 738 804 820 1005 1206 1230 1340 1476 1845 2010 2412 2460 2747 3015 3690 4020 5494 6030 7380 8241 10988 12060 13735 16482 20287 24723 27470 32964 40574 41205 49446 54940 60861 81148 82410 98892 101435 121722 123615 164820 182583 202870 243444 247230 304305 365166 405740 494460 608610 730332 831767 912915 1217220 1359229 1663534 1825830 2495301 2718458 3327068 3651660 4077687 4158835 4990602 5436916 6796145 7485903 8155374 8317670 9981204 12233061 12476505 13592290 14971806 16310748 16635340 20388435 24466122 24953010 27184580 29943612 37429515 40776870 48932244 49906020 55728389 61165305 74859030 81553740 111456778 122330610 149718060 167185167 222913556 244661220 278641945 334370334 501555501 557283890 668740668 835925835 1003111002 1114567780 1671851670 2006222004 2507777505 3343703340 5015555010 10031110020