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10031000220 = 22325193119431
BaseRepresentation
bin10010101011110010…
…01110101010011100
3221220002002121102200
421111321032222130
5131020414001340
64335211051500
7503402044413
oct112571165234
927802077380
1010031000220
114288268a2a
121b3b440b90
13c3b2527b7
146b231247a
153da983330
hex255e4ea9c

10031000220 has 144 divisors (see below), whose sum is σ = 32135201280. Its totient is φ = 2525731200.

The previous prime is 10031000219. The next prime is 10031000249. The reversal of 10031000220 is 2200013001.

It is a happy number.

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

It is a congruent number.

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, 1058905 + ... + 1068335.

It is an arithmetic number, because the mean of its divisors is an integer number (223161120).

Almost surely, 210031000220 is an apocalyptic number.

10031000220 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 10031000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067600640).

10031000220 is an abundant number, since it is smaller than the sum of its proper divisors (22104201060).

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

10031000220 is a wasteful number, since it uses less digits than its factorization.

10031000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10031000220 its reverse (2200013001), we get a palindrome (12231013221).

The spelling of 10031000220 in words is "ten billion, thirty-one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 311 342 380 570 622 684 855 933 1140 1244 1555 1710 1866 2799 3110 3420 3732 4665 5598 5909 6220 9330 9431 11196 11818 13995 17727 18660 18862 23636 27990 28293 29545 35454 37724 47155 53181 55980 56586 59090 70908 84879 88635 94310 106362 113172 118180 141465 169758 177270 179189 188620 212724 265905 282930 339516 354540 358378 424395 531810 537567 565860 716756 848790 895945 1063620 1075134 1612701 1697580 1791890 2150268 2687835 2933041 3225402 3583780 5375670 5866082 6450804 8063505 8799123 10751340 11732164 14665205 16127010 17598246 26397369 29330410 32254020 35196492 43995615 52794738 55727779 58660820 87991230 105589476 111455558 131986845 167183337 175982460 222911116 263973690 278638895 334366674 501550011 527947380 557277790 668733348 835916685 1003100022 1114555580 1671833370 2006200044 2507750055 3343666740 5015500110 10031000220