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20342244224302 = 271121319197246787
BaseRepresentation
bin1001010000000010011000…
…01111011010110100101110
32200000200212222100110212221
410220001030033122310232
510131241404010134202
6111133033055345554
74166451526645120
oct450011417326456
980020788313787
1020342244224302
1165331085a8300
1223465685222ba
13b4735b10ba70
145047d9a3b210
15254236082037
hex12804c3dad2e

20342244224302 has 192 divisors, whose sum is σ = 43672710090240. Its totient is φ = 6895635183360.

The previous prime is 20342244224287. The next prime is 20342244224363.

20342244224302 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×203422442243022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82304953 + ... + 82551739.

It is an arithmetic number, because the mean of its divisors is an integer number (227462031720).

Almost surely, 220342244224302 is an apocalyptic number.

20342244224302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20342244224302 is an abundant number, since it is smaller than the sum of its proper divisors (23330465865938).

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

20342244224302 is a wasteful number, since it uses less digits than its factorization.

20342244224302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247047 (or 247036 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 2034224 and 4224302, that added together give a palindrome (6258526).

The spelling of 20342244224302 in words is "twenty trillion, three hundred forty-two billion, two hundred forty-four million, two hundred twenty-four thousand, three hundred two".