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20401331120 = 245255016639
BaseRepresentation
bin10011000000000000…
…111001101110110000
31221122210201000001022
4103000000321232300
5313240220043440
613212223155012
71321364311322
oct230000715660
957583630038
1020401331120
11871a024035
123b54445a68
131c01894081
14db7715612
157e60e3cb5
hex4c0039bb0

20401331120 has 20 divisors (see below), whose sum is σ = 47433095040. Its totient is φ = 8160532416.

The previous prime is 20401331101. The next prime is 20401331141. The reversal of 20401331120 is 2113310402.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×204013311202 (a number of 21 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 127508240 + ... + 127508399.

It is an arithmetic number, because the mean of its divisors is an integer number (2371654752).

Almost surely, 220401331120 is an apocalyptic number.

20401331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20401331120 is an abundant number, since it is smaller than the sum of its proper divisors (27031763920).

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

20401331120 is a wasteful number, since it uses less digits than its factorization.

20401331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255016652 (or 255016646 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20401331120 its reverse (2113310402), we get a palindrome (22514641522).

The spelling of 20401331120 in words is "twenty billion, four hundred one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 255016639 510033278 1020066556 1275083195 2040133112 2550166390 4080266224 5100332780 10200665560 20401331120