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20414111132220 = 223513193400133893
BaseRepresentation
bin1001010010001000001111…
…10101111010101000111100
32200021120101111121122222020
410221010013311322220330
510133431044422212340
6111230040240520140
74204604463410031
oct451040765725074
980246344548866
1020414111132220
1165606375a2983
122358484620050
13b51072271750
14508096585388
152560405159d0
hex129107d7aa3c

20414111132220 has 192 divisors, whose sum is σ = 61892632738944. Its totient is φ = 4997578752000.

The previous prime is 20414111132203. The next prime is 20414111132273. The reversal of 20414111132220 is 2223111141402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 602293594 + ... + 602327486.

It is an arithmetic number, because the mean of its divisors is an integer number (322357462182).

Almost surely, 220414111132220 is an apocalyptic number.

20414111132220 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 20414111132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30946316369472).

20414111132220 is an abundant number, since it is smaller than the sum of its proper divisors (41478521606724).

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

20414111132220 is a wasteful number, since it uses less digits than its factorization.

20414111132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38112 (or 38110 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 20414111132220 its reverse (2223111141402), we get a palindrome (22637222273622).

The spelling of 20414111132220 in words is "twenty trillion, four hundred fourteen billion, one hundred eleven million, one hundred thirty-two thousand, two hundred twenty".