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210002120212000 = 2553411280500733
BaseRepresentation
bin101111101111111011101101…
…110001101111111000100000
31000112120000011211102020111011
4233233323231301233320200
5210011133320233241000
62022345350414030304
762143103210330164
oct5757735561577040
91015500154366434
10210002120212000
1160a0544312aa96
121b6779991a8394
139024165760ccc
1439c022a580ca4
1519429851dd2ba
hexbefeedc6fe20

210002120212000 has 96 divisors (see below), whose sum is σ = 528559970977584. Its totient is φ = 81952046848000.

The previous prime is 210002120211953. The next prime is 210002120212039. The reversal of 210002120212000 is 212021200012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11063845927696 + 198938274284304 = 3326236^2 + 14104548^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640086367 + ... + 640414366.

Almost surely, 2210002120212000 is an apocalyptic number.

210002120212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002120212000 is an abundant number, since it is smaller than the sum of its proper divisors (318557850765584).

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

210002120212000 is a wasteful number, since it uses less digits than its factorization.

210002120212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280500799 (or 1280500781 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210002120212000 its reverse (212021200012), we get a palindrome (210214141412012).

The spelling of 210002120212000 in words is "two hundred ten trillion, two billion, one hundred twenty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 8200 10250 16400 20500 32800 41000 82000 164000 1280500733 2561001466 5122002932 6402503665 10244005864 12805007330 20488011728 25610014660 32012518325 40976023456 51220029320 52500530053 64025036650 102440058640 105001060106 128050073300 160062591625 204880117280 210002120212 256100146600 262502650265 320125183250 420004240424 512200293200 525005300530 640250366500 840008480848 1024400586400 1050010601060 1280500733000 1312513251325 1680016961696 2100021202120 2561001466000 2625026502650 4200042404240 5122002932000 5250053005300 6562566256625 8400084808480 10500106010600 13125132513250 21000212021200 26250265026500 42000424042400 52500530053000 105001060106000 210002120212000