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10021020200 = 2352596911229
BaseRepresentation
bin10010101010100110…
…01010001000101000
3221212101022120102022
421111103022020220
5131010340121300
64334213124012
7503221160222
oct112523121050
927771276368
1010021020200
114282671884
121b38029608
13c3916a069
146b0c75412
153d9b61285
hex2554ca228

10021020200 has 96 divisors (see below), whose sum is σ = 23747364000. Its totient is φ = 3931564800.

The previous prime is 10021020199. The next prime is 10021020211. The reversal of 10021020200 is 202012001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8153186 + ... + 8154414.

It is an arithmetic number, because the mean of its divisors is an integer number (247368375).

Almost surely, 210021020200 is an apocalyptic number.

10021020200 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 10021020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873682000).

10021020200 is an abundant number, since it is smaller than the sum of its proper divisors (13726343800).

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

10021020200 is a wasteful number, since it uses less digits than its factorization.

10021020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10021020200 its reverse (202012001), we get a palindrome (10223032201).

The spelling of 10021020200 in words is "ten billion, twenty-one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 691 1180 1229 1382 1475 2360 2458 2764 2950 3455 4916 5528 5900 6145 6910 9832 11800 12290 13820 17275 24580 27640 30725 34550 40769 49160 61450 69100 72511 81538 122900 138200 145022 163076 203845 245800 290044 326152 362555 407690 580088 725110 815380 849239 1019225 1450220 1630760 1698478 1812775 2038450 2900440 3396956 3625550 4076900 4246195 6793912 7251100 8153800 8492390 14502200 16984780 21230975 33969560 42461950 50105101 84923900 100210202 169847800 200420404 250525505 400840808 501051010 1002102020 1252627525 2004204040 2505255050 5010510100 10021020200