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102023211031 = 7671162118719
BaseRepresentation
bin101111100000100001…
…1101010100000010111
3100202100011200010000121
41133001003222200113
53132420420223111
6114511355252411
710241141661640
oct1370103524027
9322304603017
10102023211031
113a2a4496535
121793344a107
13980ba22931
144d1ba3c6c7
1529c1b84871
hex17c10ea817

102023211031 has 16 divisors (see below), whose sum is σ = 118354728960. Its totient is φ = 86131251360.

The previous prime is 102023211019. The next prime is 102023211061. The reversal of 102023211031 is 130112320201.

It is not a de Polignac number, because 102023211031 - 215 = 102023178263 is a prime.

It is a super-2 number, since 2×1020232110312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102023210996 and 102023211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102023211061) 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 15 ways as a sum of consecutive naturals, for example, 5440890 + ... + 5459608.

It is an arithmetic number, because the mean of its divisors is an integer number (7397170560).

Almost surely, 2102023211031 is an apocalyptic number.

102023211031 is a deficient number, since it is larger than the sum of its proper divisors (16331517929).

102023211031 is a wasteful number, since it uses less digits than its factorization.

102023211031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30414.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102023211031 its reverse (130112320201), we get a palindrome (232135531232).

The spelling of 102023211031 in words is "one hundred two billion, twenty-three million, two hundred eleven thousand, thirty-one".

Divisors: 1 7 67 469 11621 18719 81347 131033 778607 1254173 5450249 8779211 217533499 1522734493 14574744433 102023211031