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20211423100 = 2252111011091669
BaseRepresentation
bin10010110100101100…
…011101011101111100
31221011120100200012221
4102310230131131330
5312343111014400
613141320535124
71313600155531
oct226454353574
957146320187
1020211423100
118631904360
123b009214a4
131ba143146b
14d9a3dcd88
157d45cec1a
hex4b4b1d77c

20211423100 has 144 divisors (see below), whose sum is σ = 48792189600. Its totient is φ = 7205760000.

The previous prime is 20211423091. The next prime is 20211423107. The reversal of 20211423100 is 132411202.

It is a super-2 number, since 2×202114231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211423107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12109066 + ... + 12110734.

It is an arithmetic number, because the mean of its divisors is an integer number (338834650).

Almost surely, 220211423100 is an apocalyptic number.

20211423100 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 20211423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24396094800).

20211423100 is an abundant number, since it is smaller than the sum of its proper divisors (28580766500).

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

20211423100 is a wasteful number, since it uses less digits than its factorization.

20211423100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20211423100 its reverse (132411202), we get a palindrome (20343834302).

The spelling of 20211423100 in words is "twenty billion, two hundred eleven million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 109 110 202 218 220 275 404 436 505 545 550 1010 1090 1100 1111 1199 1669 2020 2180 2222 2398 2525 2725 3338 4444 4796 5050 5450 5555 5995 6676 8345 10100 10900 11009 11110 11990 16690 18359 22018 22220 23980 27775 29975 33380 36718 41725 44036 55045 55550 59950 73436 83450 91795 110090 111100 119900 121099 166900 168569 181921 183590 220180 242198 275225 337138 363842 367180 458975 484396 550450 605495 674276 727684 842845 909605 917950 1100900 1210990 1685690 1819210 1835900 1854259 2001131 2421980 3027475 3371380 3638420 3708518 4002262 4214225 4548025 6054950 7417036 8004524 8428450 9096050 9271295 10005655 12109900 16856900 18192100 18374021 18542590 20011310 36748042 37085180 40022620 46356475 50028275 73496084 91870105 92712950 100056550 183740210 185425900 200113100 202114231 367480420 404228462 459350525 808456924 918701050 1010571155 1837402100 2021142310 4042284620 5052855775 10105711550 20211423100