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1020211302131 = 72411493408191
BaseRepresentation
bin11101101100010010101…
…01010000111011110011
310121112100021112221202122
432312021111100323303
5113203343043132011
62100402324504455
7133464533662100
oct16661125207363
93545307487678
101020211302131
1136373a75737a
1214588284b12b
1375289686c08
1437542813aa7
151b810d203db
hexed89550ef3

1020211302131 has 24 divisors (see below), whose sum is σ = 1223881747200. Its totient is φ = 847412361600.

The previous prime is 1020211302127. The next prime is 1020211302137. The reversal of 1020211302131 is 1312031120201.

It is not a de Polignac number, because 1020211302131 - 22 = 1020211302127 is a prime.

It is a super-2 number, since 2×10202113021312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020211302137) 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, 1404755 + ... + 2003436.

It is an arithmetic number, because the mean of its divisors is an integer number (50995072800).

Almost surely, 21020211302131 is an apocalyptic number.

1020211302131 is a deficient number, since it is larger than the sum of its proper divisors (203670445069).

1020211302131 is a wasteful number, since it uses less digits than its factorization.

1020211302131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408395 (or 3408388 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1020211302131 its reverse (1312031120201), we get a palindrome (2332242422332).

The spelling of 1020211302131 in words is "one trillion, twenty billion, two hundred eleven million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 7 41 49 149 287 1043 2009 6109 7301 42763 299341 3408191 23857337 139735831 167001359 507820459 978150817 3554743213 6847055719 20820638819 24883202491 145744471733 1020211302131