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102002022 = 23219129669
BaseRepresentation
bin1100001010001…
…10110101100110
321002221020110200
412011012311212
5202103031042
614042131330
72346000663
oct605066546
9232836420
10102002022
11526396a1
122a1b0b46
1318194b35
14d792a6a
158e4cc4c
hex6146d66

102002022 has 24 divisors (see below), whose sum is σ = 222168960. Its totient is φ = 33821520.

The previous prime is 102002003. The next prime is 102002071. The reversal of 102002022 is 220200201.

It is a super-3 number, since 3×1020020223 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102001995 and 102002013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11397 + ... + 18272.

It is an arithmetic number, because the mean of its divisors is an integer number (9257040).

Almost surely, 2102002022 is an apocalyptic number.

102002022 is an abundant number, since it is smaller than the sum of its proper divisors (120166938).

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

102002022 is a wasteful number, since it uses less digits than its factorization.

102002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29868 (or 29865 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102002022 is about 10099.6050417826. The cubic root of 102002022 is about 467.2359602167.

Adding to 102002022 its reverse (220200201), we get a palindrome (322202223).

The spelling of 102002022 in words is "one hundred two million, two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 191 382 573 1146 1719 3438 29669 59338 89007 178014 267021 534042 5666779 11333558 17000337 34000674 51001011 102002022