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20221420402100 = 22521994133245863
BaseRepresentation
bin1001001100100001010101…
…00101000111010110110100
32122121011000120000100210002
410212100222211013112310
510122301432110331400
6111001331533450432
74154643435260531
oct446205245072664
978534016010702
1020221420402100
116496946711395
122327068940a18
13b38b44350748
144dca17127d88
15251013aeaed5
hex12642a9475b4

20221420402100 has 72 divisors (see below), whose sum is σ = 44111837078400. Its totient is φ = 8045942129280.

The previous prime is 20221420402093. The next prime is 20221420402103. The reversal of 20221420402100 is 120402412202.

It is a super-2 number, since 2×202214204021002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221420402103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82123769 + ... + 82369631.

Almost surely, 220221420402100 is an apocalyptic number.

20221420402100 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 20221420402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055918539200).

20221420402100 is an abundant number, since it is smaller than the sum of its proper divisors (23890416676300).

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

20221420402100 is a wasteful number, since it uses less digits than its factorization.

20221420402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250209 (or 250202 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20221420402100 its reverse (120402412202), we get a palindrome (20341822814302).

The spelling of 20221420402100 in words is "twenty trillion, two hundred twenty-one billion, four hundred twenty million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 995 1990 3980 4133 4975 8266 9950 16532 19900 20665 41330 82660 103325 206650 245863 413300 491726 822467 983452 1229315 1644934 2458630 3289868 4112335 4917260 6146575 8224670 12293150 16449340 20561675 24586300 41123350 48926737 82246700 97853474 195706948 244633685 489267370 978534740 1016151779 1223168425 2032303558 2446336850 4064607116 4892673700 5080758895 10161517790 20323035580 25403794475 50807588950 101615177900 202214204021 404428408042 808856816084 1011071020105 2022142040210 4044284080420 5055355100525 10110710201050 20221420402100