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2132011020 = 2235596789101
BaseRepresentation
bin111111100010011…
…1110100000001100
312111120202101022010
41333010332200030
513331243323040
6551320221220
7103555536366
oct17704764014
95446671263
102132011020
119a4512487
124b600a810
1327c9182a9
1416321dd36
15c728be80
hex7f13e80c

2132011020 has 192 divisors, whose sum is σ = 6292339200. Its totient is φ = 538982400.

The previous prime is 2132010989. The next prime is 2132011031. The reversal of 2132011020 is 201102312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2132010987 and 2132011005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21108970 + ... + 21109070.

It is an arithmetic number, because the mean of its divisors is an integer number (32772600).

Almost surely, 22132011020 is an apocalyptic number.

2132011020 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 2132011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146169600).

2132011020 is an abundant number, since it is smaller than the sum of its proper divisors (4160328180).

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

2132011020 is a wasteful number, since it uses less digits than its factorization.

2132011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2132011020 is about 46173.7048546031. The cubic root of 2132011020 is about 1287.0531496088.

Adding to 2132011020 its reverse (201102312), we get a palindrome (2333113332).

The spelling of 2132011020 in words is "two billion, one hundred thirty-two million, eleven thousand, twenty".