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2132013104 = 241319643839
BaseRepresentation
bin111111100010011…
…1111000000110000
312111120202111011022
41333010333000300
513331243404404
6551320235012
7103555545434
oct17704770060
95446674138
102132013104
119a4514001
124b600ba68
1327c919220
141632209c4
15c728c8be
hex7f13f030

2132013104 has 80 divisors (see below), whose sum is σ = 4695532800. Its totient is φ = 929657088.

The previous prime is 2132013071. The next prime is 2132013113. The reversal of 2132013104 is 4013102312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2540717 + ... + 2541555.

It is an arithmetic number, because the mean of its divisors is an integer number (58694160).

Almost surely, 22132013104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347766400).

2132013104 is an abundant number, since it is smaller than the sum of its proper divisors (2563519696).

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

2132013104 is a wasteful number, since it uses less digits than its factorization.

2132013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

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

The square root of 2132013104 is about 46173.7274215543. The cubic root of 2132013104 is about 1287.0535689652.

Adding to 2132013104 its reverse (4013102312), we get a palindrome (6145115416).

The spelling of 2132013104 in words is "two billion, one hundred thirty-two million, thirteen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 643 839 988 1286 1678 1976 2572 3356 3952 5144 6712 8359 10288 10907 12217 13424 15941 16718 21814 24434 31882 33436 43628 48868 63764 66872 87256 97736 127528 133744 158821 174512 195472 207233 255056 317642 414466 539477 635284 828932 1078954 1270568 1657864 2157908 2541136 3315728 4315816 7013201 8631632 10250063 14026402 20500126 28052804 41000252 56105608 82000504 112211216 133250819 164001008 266501638 533003276 1066006552 2132013104