Search a number
-
+
10031233020 = 2235412271367
BaseRepresentation
bin10010101011110100…
…00111011111111100
3221220002112102202220
421111322013133330
5131020443424040
64335220045340
7503404034214
oct112572073774
927802472686
1010031233020
114288407926
121b3b533850
13c3b304753
146b2373244
153da9cc2d0
hex255e877fc

10031233020 has 144 divisors (see below), whose sum is σ = 28974188544. Its totient is φ = 2593036800.

The previous prime is 10031233013. The next prime is 10031233031. The reversal of 10031233020 is 2033213001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 27332877 + ... + 27333243.

Almost surely, 210031233020 is an apocalyptic number.

10031233020 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 10031233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487094272).

10031233020 is an abundant number, since it is smaller than the sum of its proper divisors (18942955524).

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

10031233020 is a wasteful number, since it uses less digits than its factorization.

10031233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10031233020 its reverse (2033213001), we get a palindrome (12064446021).

The spelling of 10031233020 in words is "ten billion, thirty-one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 271 367 410 492 542 615 734 813 820 1084 1101 1230 1355 1468 1626 1681 1835 2202 2460 2710 3252 3362 3670 4065 4404 5043 5420 5505 6724 7340 8130 8405 10086 11010 11111 15047 16260 16810 20172 22020 22222 25215 30094 33333 33620 44444 45141 50430 55555 60188 66666 75235 90282 99457 100860 111110 133332 150470 166665 180564 198914 222220 225705 298371 300940 333330 397828 451410 455551 497285 596742 616927 666660 902820 911102 994570 1193484 1233854 1366653 1491855 1822204 1850781 1989140 2277755 2467708 2733306 2983710 3084635 3701562 4077737 4555510 5466612 5967420 6169270 6833265 7403124 8155474 9111020 9253905 12233211 12338540 13666530 16310948 18507810 20388685 24466422 27333060 37015620 40777370 48932844 61166055 81554740 122332110 167187217 244664220 334374434 501561651 668748868 835936085 1003123302 1671872170 2006246604 2507808255 3343744340 5015616510 10031233020