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20122203132300 = 22352379411926473
BaseRepresentation
bin1001001001101000100001…
…10001010001000110001100
32122020122220221012211111210
410210310100301101012030
510114140233000213200
6110444002411214420
74144531644350343
oct444642061210614
978218827184453
1020122203132300
1164588620a1055
12230b999147410
13b2c691a58389
144d7cc4018b5a
1524d658476650
hex124d10c5118c

20122203132300 has 144 divisors (see below), whose sum is σ = 59857334947872. Its totient is φ = 5215344998400.

The previous prime is 20122203132287. The next prime is 20122203132301. The reversal of 20122203132300 is 323130222102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20122203132301) 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, 9481864 + ... + 11408336.

It is an arithmetic number, because the mean of its divisors is an integer number (415675937138).

Almost surely, 220122203132300 is an apocalyptic number.

20122203132300 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 20122203132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29928667473936).

20122203132300 is an abundant number, since it is smaller than the sum of its proper divisors (39735131815572).

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

20122203132300 is a wasteful number, since it uses less digits than its factorization.

20122203132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927468 (or 1927461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20122203132300 its reverse (323130222102), we get a palindrome (20445333354402).

The spelling of 20122203132300 in words is "twenty trillion, one hundred twenty-two billion, two hundred three million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 941 1110 1850 1882 2220 2775 2823 3700 3764 4705 5550 5646 9410 11100 11292 14115 18820 23525 28230 34817 47050 56460 69634 70575 94100 104451 139268 141150 174085 208902 282300 348170 417804 522255 696340 870425 1044510 1740850 1926473 2089020 2611275 3481700 3852946 5222550 5779419 7705892 9632365 10445100 11558838 19264730 23117676 28897095 38529460 48161825 57794190 71279501 96323650 115588380 142559002 144485475 192647300 213838503 285118004 288970950 356397505 427677006 577941900 712795010 855354012 1069192515 1425590020 1781987525 1812811093 2138385030 3563975050 3625622186 4276770060 5345962575 5438433279 7127950100 7251244372 9064055465 10691925150 10876866558 18128110930 21383850300 21753733116 27192166395 36256221860 45320277325 54384332790 67074010441 90640554650 108768665580 134148020882 135960831975 181281109300 201222031323 268296041764 271921663950 335370052205 402444062646 543843327900 670740104410 804888125292 1006110156615 1341480208820 1676850261025 2012220313230 3353700522050 4024440626460 5030550783075 6707401044100 10061101566150 20122203132300