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22033013230100 = 22522931092443741
BaseRepresentation
bin1010000001001111101011…
…11011010100101000010100
32220000100001120112012121202
411000213311323110220110
510341442102341330400
6114505454311132032
74432555415243135
oct500476573245024
986010046465552
1022033013230100
11702516a629264
12257a18b674018
13c3a920277592
14562591403c8c
152831e12964d5
hex1409f5ed4a14

22033013230100 has 72 divisors (see below), whose sum is σ = 49476244906200. Its totient is φ = 8506561190400.

The previous prime is 22033013230099. The next prime is 22033013230127. The reversal of 22033013230100 is 103231033022.

It can be written as a sum of positive squares in 12 ways, for example, as 12186885504784 + 9846127725316 = 3490972^2 + 3137854^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7794230 + ... + 10237970.

Almost surely, 222033013230100 is an apocalyptic number.

22033013230100 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 22033013230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24738122453100).

22033013230100 is an abundant number, since it is smaller than the sum of its proper divisors (27443231676100).

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

22033013230100 is a wasteful number, since it uses less digits than its factorization.

22033013230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446893 (or 2446886 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 22033013230100 its reverse (103231033022), we get a palindrome (22136244263122).

The spelling of 22033013230100 in words is "twenty-two trillion, thirty-three billion, thirteen million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3109 6218 12436 15545 31090 62180 77725 90161 155450 180322 310900 360644 450805 901610 1803220 2254025 2443741 4508050 4887482 9016100 9774964 12218705 24437410 48874820 61093525 70868489 122187050 141736978 244374100 283473956 354342445 708684890 1417369780 1771712225 3543424450 7086848900 7597590769 15195181538 30390363076 37987953845 75975907690 151951815380 189939769225 220330132301 379879538450 440660264602 759759076900 881320529204 1101650661505 2203301323010 4406602646020 5508253307525 11016506615050 22033013230100