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202130322202120 = 23513229900935237
BaseRepresentation
bin101101111101011000100010…
…000011011001111000001000
3222111200110200200200201101011
4231331120202003121320020
5202443200344440431440
61553521215455333304
760401301546256654
oct5575304203317010
9874613620621334
10202130322202120
115944aa963a1504
121a806263b21234
1388a2a6639a400
1437cb234691a64
151857d183279ea
hexb7d6220d9e08

202130322202120 has 48 divisors (see below), whose sum is σ = 492468403369860. Its totient is φ = 74632734349056.

The previous prime is 202130322202057. The next prime is 202130322202223. The reversal of 202130322202120 is 21202223031202.

It can be written as a sum of positive squares in 6 ways, for example, as 9757139344164 + 192373182857956 = 3123642^2 + 13869866^2 .

It is a super-2 number, since 2×2021303222021202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202130322202091 and 202130322202100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14950460859 + ... + 14950474378.

Almost surely, 2202130322202120 is an apocalyptic number.

202130322202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202130322202120 is an abundant number, since it is smaller than the sum of its proper divisors (290338081167740).

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

202130322202120 is a wasteful number, since it uses less digits than its factorization.

202130322202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29900935274 (or 29900935257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 202130322202120 its reverse (21202223031202), we get a palindrome (223332545233322).

The spelling of 202130322202120 in words is "two hundred two trillion, one hundred thirty billion, three hundred twenty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 29900935237 59801870474 119603740948 149504676185 239207481896 299009352370 388712158081 598018704740 777424316162 1196037409480 1554848632324 1943560790405 3109697264648 3887121580810 5053258055053 7774243161620 10106516110106 15548486323240 20213032220212 25266290275265 40426064440424 50532580550530 101065161101060 202130322202120