Search a number
-
+
2112022010 = 257231713597
BaseRepresentation
bin111110111100010…
…1110010111111010
312110012010211112102
41331320232113322
513311134201020
6545323543402
7103223614400
oct17570562772
95405124472
102112022010
119941aa43a
124ab38ab62
13278739b87
141606d9470
15c563e475
hex7de2e5fa

2112022010 has 48 divisors (see below), whose sum is σ = 4436592264. Its totient is φ = 721784448.

The previous prime is 2112022001. The next prime is 2112022021. The reversal of 2112022010 is 102202112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 660335809 + 1451686201 = 25697^2 + 38101^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2112021982 and 2112022000.

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, 148532 + ... + 162128.

Almost surely, 22112022010 is an apocalyptic number.

2112022010 is an abundant number, since it is smaller than the sum of its proper divisors (2324570254).

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

2112022010 is a wasteful number, since it uses less digits than its factorization.

2112022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13935 (or 13928 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2112022010 is about 45956.7406372558. The cubic root of 2112022010 is about 1283.0181889166.

Adding to 2112022010 its reverse (102202112), we get a palindrome (2214224122).

The spelling of 2112022010 in words is "two billion, one hundred twelve million, twenty-two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 317 490 634 1585 2219 3170 4438 11095 13597 15533 22190 27194 31066 67985 77665 95179 135970 155330 190358 475895 666253 951790 1332506 3331265 4310249 6662530 8620498 21551245 30171743 43102490 60343486 150858715 211202201 301717430 422404402 1056011005 2112022010