Search a number
-
+
2111122100 = 225236235827
BaseRepresentation
bin111110111010101…
…0010101010110100
312110010110010002102
41331311102222310
513310421401400
6545252401232
7103213145633
oct17565225264
95403403072
102111122100
1199374530a
124ab016218
132784b3399
1416054351a
15c55129d5
hex7dd52ab4

2111122100 has 36 divisors (see below), whose sum is σ = 4583185824. Its totient is φ = 844070880.

The previous prime is 2111122081. The next prime is 2111122147. The reversal of 2111122100 is 12211112.

It is a super-2 number, since 2×21111221002 = 8913673042216820000, which contains 22 as substring.

It is a congruent 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, 359387 + ... + 365213.

Almost surely, 22111122100 is an apocalyptic number.

2111122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111122100 is an abundant number, since it is smaller than the sum of its proper divisors (2472063724).

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

2111122100 is a wasteful number, since it uses less digits than its factorization.

2111122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9464 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2111122100 is about 45946.9487561470. The cubic root of 2111122100 is about 1282.8359362508.

Adding to 2111122100 its reverse (12211112), we get a palindrome (2123333212).

The spelling of 2111122100 in words is "two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3623 5827 7246 11654 14492 18115 23308 29135 36230 58270 72460 90575 116540 145675 181150 291350 362300 582700 21111221 42222442 84444884 105556105 211112210 422224420 527780525 1055561050 2111122100