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20232203100 = 223523715112071
BaseRepresentation
bin10010110101111011…
…101110101101011100
31221020000110102000120
4102311323232231130
5312413420444400
613143342154540
71314241613604
oct226573565534
957200412016
1020232203100
11864260770a
123b07882a50
131ba5828915
14d9d08bc04
157d6336ca0
hex4b5eeeb5c

20232203100 has 144 divisors (see below), whose sum is σ = 60523792896. Its totient is φ = 5214240000.

The previous prime is 20232203099. The next prime is 20232203113. The reversal of 20232203100 is 130223202.

It is a super-2 number, since 2×202322031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20232203100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1670065 + ... + 1682135.

Almost surely, 220232203100 is an apocalyptic number.

20232203100 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 20232203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30261896448).

20232203100 is an abundant number, since it is smaller than the sum of its proper divisors (40291589796).

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

20232203100 is a wasteful number, since it uses less digits than its factorization.

20232203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12276 (or 12269 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20232203100 its reverse (130223202), we get a palindrome (20362426302).

The spelling of 20232203100 in words is "twenty billion, two hundred thirty-two million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 151 185 222 300 302 370 444 453 555 604 740 755 906 925 1110 1510 1812 1850 2220 2265 2775 3020 3700 3775 4530 5550 5587 7550 9060 11100 11174 11325 12071 15100 16761 22348 22650 24142 27935 33522 36213 45300 48284 55870 60355 67044 72426 83805 111740 120710 139675 144852 167610 181065 241420 279350 301775 335220 362130 419025 446627 558700 603550 724260 838050 893254 905325 1207100 1339881 1676100 1786508 1810650 1822721 2233135 2679762 3621300 3645442 4466270 5359524 5468163 6699405 7290884 8932540 9113605 10936326 11165675 13398810 18227210 21872652 22331350 26797620 27340815 33497025 36454420 44662700 45568025 54681630 66994050 67440677 91136050 109363260 133988100 134881354 136704075 182272100 202322031 269762708 273408150 337203385 404644062 546816300 674406770 809288124 1011610155 1348813540 1686016925 2023220310 3372033850 4046440620 5058050775 6744067700 10116101550 20232203100