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210021002000 = 2453597012539
BaseRepresentation
bin1100001110011000111…
…0100010101100010000
3202002002201120022221122
43003212032202230100
511420110334031000
6240252102541412
721113342030165
oct3034616425420
9662081508848
10210021002000
1181084420337
1234853737868
1316a60480b64
14a244d5006c
1556e30d0085
hex30e63a2b10

210021002000 has 160 divisors (see below), whose sum is σ = 517378492800. Its totient is φ = 82434240000.

The previous prime is 210021001987. The next prime is 210021002017. The reversal of 210021002000 is 200120012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82716731 + ... + 82719269.

It is an arithmetic number, because the mean of its divisors is an integer number (3233615580).

Almost surely, 2210021002000 is an apocalyptic number.

210021002000 is a gapful number since it is divisible by the number (20) 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 210021002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258689246400).

210021002000 is an abundant number, since it is smaller than the sum of its proper divisors (307357490800).

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

210021002000 is a wasteful number, since it uses less digits than its factorization.

210021002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3306 counting only the distinct ones).

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

Adding to 210021002000 its reverse (200120012), we get a palindrome (210221122012).

The spelling of 210021002000 in words is "two hundred ten billion, twenty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 701 944 1000 1180 1402 1475 2000 2360 2539 2804 2950 3505 4720 5078 5608 5900 7010 7375 10156 11216 11800 12695 14020 14750 17525 20312 23600 25390 28040 29500 35050 40624 41359 50780 56080 59000 63475 70100 82718 87625 101560 118000 126950 140200 149801 165436 175250 203120 206795 253900 280400 299602 317375 330872 350500 413590 507800 599204 634750 661744 701000 749005 827180 1015600 1033975 1198408 1269500 1402000 1498010 1654360 1779839 2067950 2396816 2539000 2996020 3308720 3559678 3745025 4135900 5078000 5169875 5992040 7119356 7490050 8271800 8899195 10339750 11984080 14238712 14980100 16543600 17798390 18725125 20679500 28477424 29960200 35596780 37450250 41359000 44495975 59920400 71193560 74900500 82718000 88991950 105010501 142387120 149801000 177983900 210021002 222479875 299602000 355967800 420042004 444959750 525052505 711935600 840084008 889919500 1050105010 1680168016 1779839000 2100210020 2625262525 3559678000 4200420040 5250525050 8400840080 10501050100 13126312625 21002100200 26252625250 42004200400 52505250500 105010501000 210021002000