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202123132000300 = 225271690671707887
BaseRepresentation
bin101101111101010001110101…
…011110111101100000101100
3222111122210010121001121202001
4231331101311132331200230
5202443041133243002200
61553514030204342044
760400625430462310
oct5575216536754054
9874583117047661
10202123132000300
1159447a36747455
121a804997b44924
1388a218b85ac14
1437cab51783b40
151857a46e8c76a
hexb7d4757bd82c

202123132000300 has 72 divisors (see below), whose sum is σ = 501268625754624. Its totient is φ = 69298909074240.

The previous prime is 202123132000201. The next prime is 202123132000303. The reversal of 202123132000300 is 3000231321202.

It is a super-2 number, since 2×2021231320003002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202123132000303) 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, 117492957 + ... + 119200843.

It is an arithmetic number, because the mean of its divisors is an integer number (6962064246592).

Almost surely, 2202123132000300 is an apocalyptic number.

202123132000300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202123132000300 is an abundant number, since it is smaller than the sum of its proper divisors (299145493754324).

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

202123132000300 is a wasteful number, since it uses less digits than its factorization.

202123132000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876975 (or 1876968 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 202123132000300 its reverse (3000231321202), we get a palindrome (205123363321502).

The spelling of 202123132000300 in words is "two hundred two trillion, one hundred twenty-three billion, one hundred thirty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 169067 338134 676268 845335 1183469 1690670 1707887 2366938 3381340 3415774 4226675 4733876 5917345 6831548 8453350 8539435 11834690 11955209 16906700 17078870 23669380 23910418 29586725 34157740 42697175 47820836 59173450 59776045 85394350 118346900 119552090 170788700 239104180 298880225 597760450 1195520900 288747331429 577494662858 1154989325716 1443736657145 2021231320003 2887473314290 4042462640006 5774946628580 7218683285725 8084925280012 10106156600015 14437366571450 20212313200030 28874733142900 40424626400060 50530783000075 101061566000150 202123132000300