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11322222120 = 23345111072969
BaseRepresentation
bin10101000101101101…
…10110011000101000
31002020001202110220000
422202312312120220
5141141442101440
65111254303000
7550401204636
oct124266663050
932201673800
1011322222120
114890110070
12223b957a60
1310b5906121
147959ca356
15463edc730
hex2a2db6628

11322222120 has 320 divisors, whose sum is σ = 41916916800. Its totient is φ = 2718213120.

The previous prime is 11322222103. The next prime is 11322222133. The reversal of 11322222120 is 2122222311.

11322222120 is a `hidden beast` number, since 1 + 1 + 322 + 222 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11322222093 and 11322222102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3811996 + ... + 3814964.

It is an arithmetic number, because the mean of its divisors is an integer number (130990365).

Almost surely, 211322222120 is an apocalyptic number.

11322222120 is a gapful number since it is divisible by the number (10) 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 11322222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958458400).

11322222120 is an abundant number, since it is smaller than the sum of its proper divisors (30594694680).

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

11322222120 is a wasteful number, since it uses less digits than its factorization.

11322222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11322222120 its reverse (2122222311), we get a palindrome (13444444431).

The spelling of 11322222120 in words is "eleven billion, three hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".