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202031332131 = 35319336717939
BaseRepresentation
bin1011110000101000000…
…0010111101100100011
3201022110220121001022210
42330022000113230203
511302230010112011
6232451212333203
720411344663056
oct2741200275443
9638426531283
10202031332131
1178754469092
12331a3a74203
1316089116955
149ac7bb4a9d
1553c69756a6
hex2f0a017b23

202031332131 has 32 divisors (see below), whose sum is σ = 276646855680. Its totient is φ = 131096070144.

The previous prime is 202031332127. The next prime is 202031332141. The reversal of 202031332131 is 131233130202.

It is not a de Polignac number, because 202031332131 - 22 = 202031332127 is a prime.

It is a super-2 number, since 2×2020313321312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202031332098 and 202031332107.

It is not an unprimeable number, because it can be changed into a prime (202031332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11253160 + ... + 11271098.

It is an arithmetic number, because the mean of its divisors is an integer number (8645214240).

Almost surely, 2202031332131 is an apocalyptic number.

202031332131 is a deficient number, since it is larger than the sum of its proper divisors (74615523549).

202031332131 is a wasteful number, since it uses less digits than its factorization.

202031332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18555.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 202031332131 its reverse (131233130202), we get a palindrome (333264462333).

The spelling of 202031332131 in words is "two hundred two billion, thirty-one million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 53 159 193 367 579 1101 10229 17939 19451 30687 53817 58353 70831 212493 950767 2852301 3462227 3754043 6583613 10386681 11262129 19750839 183498031 348931489 550494093 1046794467 1270637309 3811911927 67343777377 202031332131