Search a number
-
+
2132012322 = 2321119795441
BaseRepresentation
bin111111100010011…
…1110110100100010
312111120202110002100
41333010332310202
513331243343242
6551320231230
7103555543236
oct17704766442
95446673070
102132012322
119a4513460
124b600b516
1327c918a6b
141632205c6
15c728c54c
hex7f13ed22

2132012322 has 48 divisors (see below), whose sum is σ = 5042774880. Its totient is φ = 645619200.

The previous prime is 2132012317. The next prime is 2132012359. The reversal of 2132012322 is 2232102312.

2132012322 is a `hidden beast` number, since 21 + 320 + 1 + 2 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2132012295 and 2132012304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389122 + ... + 394562.

It is an arithmetic number, because the mean of its divisors is an integer number (105057810).

Almost surely, 22132012322 is an apocalyptic number.

2132012322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2132012322 is an abundant number, since it is smaller than the sum of its proper divisors (2910762558).

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

2132012322 is a wasteful number, since it uses less digits than its factorization.

2132012322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7439 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2132012322 is about 46173.7189535346. The cubic root of 2132012322 is about 1287.0534116060.

Adding to 2132012322 its reverse (2232102312), we get a palindrome (4364114634).

The spelling of 2132012322 in words is "two billion, one hundred thirty-two million, twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1979 3958 5441 5937 10882 11874 16323 17811 21769 32646 35622 43538 48969 59851 65307 97938 119702 130614 179553 195921 359106 391842 538659 1077318 10767739 21535478 32303217 64606434 96909651 118445129 193819302 236890258 355335387 710670774 1066006161 2132012322