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2132000010 = 232573384127
BaseRepresentation
bin111111100010011…
…1011110100001010
312111120201211012100
41333010323310022
513331243000020
6551320054230
7103555462320
oct17704736412
95446654170
102132000010
119a4505188
124b6004376
1327c91328a
14163219d10
15c7288a90
hex7f13bd0a

2132000010 has 48 divisors (see below), whose sum is σ = 6335087616. Its totient is φ = 487314144.

The previous prime is 2131999951. The next prime is 2132000023. The reversal of 2132000010 is 100002312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2131999956 and 2132000001.

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, 1691434 + ... + 1692693.

It is an arithmetic number, because the mean of its divisors is an integer number (131980992).

Almost surely, 22132000010 is an apocalyptic number.

2132000010 is an abundant number, since it is smaller than the sum of its proper divisors (4203087606).

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

2132000010 is a wasteful number, since it uses less digits than its factorization.

2132000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384147 (or 3384144 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2132000010 is about 46173.5856307478. The cubic root of 2132000010 is about 1287.0509340981.

Adding to 2132000010 its reverse (100002312), we get a palindrome (2232002322).

The spelling of 2132000010 in words is "two billion, one hundred thirty-two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 3384127 6768254 10152381 16920635 20304762 23688889 30457143 33841270 47377778 50761905 60914286 71066667 101523810 118444445 142133334 152285715 213200001 236888890 304571430 355333335 426400002 710666670 1066000005 2132000010