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20221023131100 = 2232521112503163363
BaseRepresentation
bin1001001100100000100101…
…11001101001010111011100
32122121002222212110220102100
410212100102321221113130
510122300123410143400
6111001224302525100
74154630542443201
oct446202271512734
978532885426370
1020221023131100
11649676243a850
122326b77896790
13b38aacc5634c
144dc9ba473ca8
15250eddcc6100
hex126412e695dc

20221023131100 has 216 divisors, whose sum is σ = 69149597392512. Its totient is φ = 4901644137600.

The previous prime is 20221023131087. The next prime is 20221023131117. The reversal of 20221023131100 is 113132012202.

20221023131100 is a `hidden beast` number, since 20 + 221 + 0 + 2 + 313 + 110 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123698019 + ... + 123861381.

Almost surely, 220221023131100 is an apocalyptic number.

20221023131100 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 20221023131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34574798696256).

20221023131100 is an abundant number, since it is smaller than the sum of its proper divisors (48928574261412).

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

20221023131100 is a wasteful number, since it uses less digits than its factorization.

20221023131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175897 (or 175887 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20221023131100 its reverse (113132012202), we get a palindrome (20334155143302).

The spelling of 20221023131100 in words is "twenty trillion, two hundred twenty-one billion, twenty-three million, one hundred thirty-one thousand, one hundred".