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20253602131000 = 23537223143312541
BaseRepresentation
bin1001001101011101010001…
…10000101010110000111000
32122201020002100121120120021
410212232220300222300320
510123313334121143000
6111024213143540224
74160163066410200
oct446565060526070
978636070546507
1020253602131000
1164a9560435657
12233134a45a674
13b3bba271a994
145003cb215400
15251c9903311a
hex126ba8c2ac38

20253602131000 has 384 divisors, whose sum is σ = 57572873055360. Its totient is φ = 6637010688000.

The previous prime is 20253602130967. The next prime is 20253602131019. The reversal of 20253602131000 is 13120635202.

It is a super-2 number, since 2×202536021310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1614984730 + ... + 1614997270.

It is an arithmetic number, because the mean of its divisors is an integer number (149929356915).

Almost surely, 220253602131000 is an apocalyptic number.

20253602131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20253602131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28786436527680).

20253602131000 is an abundant number, since it is smaller than the sum of its proper divisors (37319270924360).

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

20253602131000 is a wasteful number, since it uses less digits than its factorization.

20253602131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14032 (or 14011 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 20253602131000 its reverse (13120635202), we get a palindrome (20266722766202).

The spelling of 20253602131000 in words is "twenty trillion, two hundred fifty-three billion, six hundred two million, one hundred thirty-one thousand".