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202210320130020 = 223256118416240449
BaseRepresentation
bin101101111110100011000010…
…010011010001111111100100
3222111222010011212220111222200
4231332203002103101333210
5203001003213423130040
61554022045540454500
760410133144401316
oct5576430223217744
9874863155814880
10202210320130020
1159480a08112804
121a81986b0aa430
1388aa474c58017
1437d106304b7b6
151859e4b537630
hexb7e8c24d1fe4

202210320130020 has 72 divisors (see below), whose sum is σ = 623426571713400. Its totient is φ = 53038772490240.

The previous prime is 202210320129971. The next prime is 202210320130031. The reversal of 202210320130020 is 20031023012202.

202210320130020 is a `hidden beast` number, since 2 + 0 + 2 + 21 + 0 + 320 + 1 + 300 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8873976282084 + 193336343847936 = 2978922^2 + 13904544^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202210320129975 and 202210320130002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9208109245 + ... + 9208131204.

Almost surely, 2202210320130020 is an apocalyptic number.

202210320130020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202210320130020 is an abundant number, since it is smaller than the sum of its proper divisors (421216251583380).

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

202210320130020 is a wasteful number, since it uses less digits than its factorization.

202210320130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18416240525 (or 18416240520 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202210320130020 its reverse (20031023012202), we get a palindrome (222241343142222).

The spelling of 202210320130020 in words is "two hundred two trillion, two hundred ten billion, three hundred twenty million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 18416240449 36832480898 55248721347 73664961796 92081202245 110497442694 165746164041 184162404490 220994885388 276243606735 331492328082 368324808980 552487213470 662984656164 828730820205 1104974426940 1123390667389 1657461640410 2246781334778 3314923280820 3370172002167 4493562669556 5616953336945 6740344004334 10110516006501 11233906673890 13480688008668 16850860010835 20221032013002 22467813347780 33701720021670 40442064026004 50552580032505 67403440043340 101105160065010 202210320130020