Search a number
-
+
2111021220 = 22357111924049
BaseRepresentation
bin111110111010011…
…1010000010100100
312110010020222201010
41331310322002210
513310410134340
6545250302220
7103212245550
oct17564720244
95403228633
102111021220
11993686540
124aab87970
132784794a9
14160518860
15c54e2b80
hex7dd3a0a4

2111021220 has 192 divisors, whose sum is σ = 7757568000. Its totient is φ = 415549440.

The previous prime is 2111021219. The next prime is 2111021221. The reversal of 2111021220 is 221201112.

2111021220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2111021219) and next prime (2111021221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2111021196 and 2111021205.

It is not an unprimeable number, because it can be changed into a prime (2111021221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75756 + ... + 99804.

It is an arithmetic number, because the mean of its divisors is an integer number (40404000).

Almost surely, 22111021220 is an apocalyptic number.

2111021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878784000).

2111021220 is an abundant number, since it is smaller than the sum of its proper divisors (5646546780).

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

2111021220 is a wasteful number, since it uses less digits than its factorization.

2111021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24098 (or 24096 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2111021220 is about 45945.8509552277. The cubic root of 2111021220 is about 1282.8155024807.

Adding to 2111021220 its reverse (221201112), we get a palindrome (2332222332).

The spelling of 2111021220 in words is "two billion, one hundred eleven million, twenty-one thousand, two hundred twenty".