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202120011210200 = 235217923392413771
BaseRepresentation
bin101101111101001110111011…
…011110000101110111011000
3222111122111002002202001112112
4231331032323132011313120
5202443013240332211300
61553512352403131452
760400455204265016
oct5575167336056730
9874574062661475
10202120011210200
1159446685085686
121a804266973b88
1388a1ab2133c65
1437ca9370d78b6
151857912ed8e35
hexb7d3bb785dd8

202120011210200 has 96 divisors (see below), whose sum is σ = 472756556376000. Its totient is φ = 80361934262400.

The previous prime is 202120011210179. The next prime is 202120011210203. The reversal of 202120011210200 is 2012110021202.

It is a super-2 number, since 2×2021200112102002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120011210203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82529315 + ... + 84943085.

It is an arithmetic number, because the mean of its divisors is an integer number (4924547462250).

Almost surely, 2202120011210200 is an apocalyptic number.

202120011210200 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 202120011210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236378278188000).

202120011210200 is an abundant number, since it is smaller than the sum of its proper divisors (270636545165800).

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

202120011210200 is a wasteful number, since it uses less digits than its factorization.

202120011210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416305 (or 2416296 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202120011210200 its reverse (2012110021202), we get a palindrome (204132121231402).

The spelling of 202120011210200 in words is "two hundred two trillion, one hundred twenty billion, eleven million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 895 1432 1790 2339 3580 4475 4678 7160 8950 9356 11695 17900 18712 23390 35800 46780 58475 93560 116950 233900 418681 467800 837362 1674724 2093405 2413771 3349448 4186810 4827542 8373620 9655084 10467025 12068855 16747240 19310168 20934050 24137710 41868100 48275420 60344275 83736200 96550840 120688550 241377100 432065009 482754200 864130018 1728260036 2160325045 3456520072 4320650090 5645810369 8641300180 10801625225 11291620738 17282600360 21603250450 22583241476 28229051845 43206500900 45166482952 56458103690 86413001800 112916207380 141145259225 225832414760 282290518450 564581036900 1010600056051 1129162073800 2021200112102 4042400224204 5053000280255 8084800448408 10106000560510 20212001121020 25265001401275 40424002242040 50530002802550 101060005605100 202120011210200