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20110320113000 = 2353132124995273
BaseRepresentation
bin1001001001010010011000…
…11111001001010101101000
32122012112020210012220111212
410210221030133021111220
510113441413422104000
6110434315321012252
74143631323351245
oct444511437112550
978175223186455
1020110320113000
116453814479847
122309621624088
13b2b519c01400
144d74b7b6c5cc
1524d1b0111c35
hex124a4c7c9568

20110320113000 has 192 divisors, whose sum is σ = 50997790350000. Its totient is φ = 7419326054400.

The previous prime is 20110320112997. The next prime is 20110320113141. The reversal of 20110320113000 is 31102301102.

It can be written as a sum of positive squares in 24 ways, for example, as 9403066539364 + 10707253573636 = 3066442^2 + 3272194^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211033364 + ... + 211128636.

Almost surely, 220110320113000 is an apocalyptic number.

20110320113000 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 20110320113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25498895175000).

20110320113000 is an abundant number, since it is smaller than the sum of its proper divisors (30887470237000).

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

20110320113000 is a wasteful number, since it uses less digits than its factorization.

20110320113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96569 (or 96542 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20110320113000 its reverse (31102301102), we get a palindrome (20141422414102).

The spelling of 20110320113000 in words is "twenty trillion, one hundred ten billion, three hundred twenty million, one hundred thirteen thousand".