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102223434420 = 22325567907969
BaseRepresentation
bin101111100110011111…
…1011101001010110100
3100202212010102111212200
41133030333131022310
53133323144400140
6114543310544500
710246122566412
oct1371477351264
9322763374780
10102223434420
113a397511308
121798a508130
139841357803
144d3a47c2b2
1529d4535030
hex17ccfdd2b4

102223434420 has 36 divisors (see below), whose sum is σ = 310077751620. Its totient is φ = 27259582464.

The previous prime is 102223434413. The next prime is 102223434457. The reversal of 102223434420 is 24434322201.

102223434420 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 234 + 3 + 4 + 420 = 666.

102223434420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64055560464 + 38167873956 = 253092^2 + 195366^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283953805 + ... + 283954164.

Almost surely, 2102223434420 is an apocalyptic number.

102223434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223434420 is an abundant number, since it is smaller than the sum of its proper divisors (207854317200).

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

102223434420 is a wasteful number, since it uses less digits than its factorization.

102223434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567907984 (or 567907979 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 102223434420 its reverse (24434322201), we get a palindrome (126657756621).

The spelling of 102223434420 in words is "one hundred two billion, two hundred twenty-three million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 567907969 1135815938 1703723907 2271631876 2839539845 3407447814 5111171721 5679079690 6814895628 8518619535 10222343442 11358159380 17037239070 20444686884 25555858605 34074478140 51111717210 102223434420