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2113104420 = 2232572172829
BaseRepresentation
bin111110111110011…
…0110101000100100
312110021011211022200
41331330312220210
513311423320140
6545403054500
7103236043200
oct17574665044
95407154280
102113104420
11994879699
124ab811430
13278a2875b
141608dbb00
15c57a5030
hex7df36a24

2113104420 has 324 divisors, whose sum is σ = 7930196820. Its totient is φ = 454035456.

The previous prime is 2113104391. The next prime is 2113104421. The reversal of 2113104420 is 244013112.

2113104420 is a `hidden beast` number, since 211 + 3 + 10 + 442 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 142277184 + 1970827236 = 11928^2 + 44394^2 .

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 = 2113104393 and 2113104402.

It is not an unprimeable number, because it can be changed into a prime (2113104421) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2548566 + ... + 2549394.

Almost surely, 22113104420 is an apocalyptic number.

2113104420 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 2113104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965098410).

2113104420 is an abundant number, since it is smaller than the sum of its proper divisors (5817092400).

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

2113104420 is a wasteful number, since it uses less digits than its factorization.

2113104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 863 counting only the distinct ones).

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

The square root of 2113104420 is about 45968.5155296536. The cubic root of 2113104420 is about 1283.2373334984.

Adding to 2113104420 its reverse (244013112), we get a palindrome (2357117532).

The spelling of 2113104420 in words is "two billion, one hundred thirteen million, one hundred four thousand, four hundred twenty".