Search a number
-
+
2140332100 = 225234916131
BaseRepresentation
bin111111110010010…
…1110000001000100
312112011102010200021
41333210232001010
513340411111400
6552214424524
7104016344164
oct17744560104
95464363607
102140332100
119a9186205
124b8962144
1328156c8ca
141643885a4
15c7d8271a
hex7f92e044

2140332100 has 36 divisors (see below), whose sum is σ = 4646608848. Its totient is φ = 855748000.

The previous prime is 2140332031. The next prime is 2140332119. The reversal of 2140332100 is 12330412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346035 + ... + 352165.

It is an arithmetic number, because the mean of its divisors is an integer number (129072468).

Almost surely, 22140332100 is an apocalyptic number.

2140332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140332100 is an abundant number, since it is smaller than the sum of its proper divisors (2506276748).

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

2140332100 is a wasteful number, since it uses less digits than its factorization.

2140332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9636 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2140332100 is about 46263.7233693960. The cubic root of 2140332100 is about 1288.7254000861.

Adding to 2140332100 its reverse (12330412), we get a palindrome (2152662512).

The spelling of 2140332100 in words is "two billion, one hundred forty million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3491 6131 6982 12262 13964 17455 24524 30655 34910 61310 69820 87275 122620 153275 174550 306550 349100 613100 21403321 42806642 85613284 107016605 214033210 428066420 535083025 1070166050 2140332100