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2001131300220 = 2235132565552949
BaseRepresentation
bin11101000111101100101…
…110000110010101111100
321002022021021120212010020
4131013230232012111330
5230241304103101340
64131150152412140
7264401620253313
oct35075456062574
97068237525106
102001131300220
117017474a4448
122839ba9a7050
13116923a53aa0
146cbd8c1927a
15370c24979d0
hex1d1ecb8657c

2001131300220 has 48 divisors (see below), whose sum is σ = 6034180538400. Its totient is φ = 492586166016.

The previous prime is 2001131300153. The next prime is 2001131300227. The reversal of 2001131300220 is 220031311002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001131300220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001131300227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1282775695 + ... + 1282777254.

It is an arithmetic number, because the mean of its divisors is an integer number (125712094550).

Almost surely, 22001131300220 is an apocalyptic number.

2001131300220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001131300220 is an abundant number, since it is smaller than the sum of its proper divisors (4033049238180).

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

2001131300220 is a wasteful number, since it uses less digits than its factorization.

2001131300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565552974 (or 2565552972 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2001131300220 its reverse (220031311002), we get a palindrome (2221162611222).

The spelling of 2001131300220 in words is "two trillion, one billion, one hundred thirty-one million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2565552949 5131105898 7696658847 10262211796 12827764745 15393317694 25655529490 30786635388 33352188337 38483294235 51311058980 66704376674 76966588470 100056565011 133408753348 153933176940 166760941685 200113130022 333521883370 400226260044 500282825055 667043766740 1000565650110 2001131300220