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202130122033131 = 329352316993109
BaseRepresentation
bin101101111101011000010110…
…000111110100011111101011
3222111200110011202001002010220
4231331120112013310133223
5202443144442220030011
61553521143545141123
760401263565666625
oct5575302607643753
9874613152032126
10202130122033131
115944a9a3403596
121a806208a8a7a3
1388a2a33a84216
1437cb215c67c15
151857d05988506
hexb7d6161f47eb

202130122033131 has 64 divisors (see below), whose sum is σ = 279920003520000. Its totient is φ = 129739799323008.

The previous prime is 202130122033129. The next prime is 202130122033141. The reversal of 202130122033131 is 131330221031202.

It is not a de Polignac number, because 202130122033131 - 21 = 202130122033129 is a prime.

It is a super-2 number, since 2×2021301220331312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202130122033121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65014511805 + ... + 65014514913.

It is an arithmetic number, because the mean of its divisors is an integer number (4373750055000).

Almost surely, 2202130122033131 is an apocalyptic number.

202130122033131 is a deficient number, since it is larger than the sum of its proper divisors (77789881486869).

202130122033131 is an equidigital number, since it uses as much as digits as its factorization.

202130122033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5421 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 202130122033131 its reverse (131330221031202), we get a palindrome (333460343064333).

The spelling of 202130122033131 in words is "two hundred two trillion, one hundred thirty billion, one hundred twenty-two million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 29 87 523 841 1569 1699 2523 3109 5097 9327 15167 24389 45501 49271 73167 90161 147813 270483 439843 888577 1319529 1428859 1626007 2614669 2665731 4286577 4878021 5282191 7844007 12755447 15846573 25768733 38266341 41436911 47154203 75825401 77306199 124310733 141462609 153183539 227476203 459550617 747293257 1367471887 2241879771 2762585893 4102415661 4442322631 8287757679 13326967893 21671504453 39656684723 65014513359 80114990897 118970054169 128827356299 240344972691 386482068897 2323334736013 6970004208039 67376707344377 202130122033131