Search a number
-
+
20100200110020 = 22325907123117727
BaseRepresentation
bin1001001000111111100010…
…10010011001011111000100
32122011120010111122111020200
410210133301102121133010
510113310202212010040
6110425523210130500
74143122460633342
oct444376122313704
978146114574220
1020100200110020
11644a4a0a50818
122307678420a30
13b2a5963b8874
144d6bd7acc992
1524ccbb94c630
hex1247f14997c4

20100200110020 has 72 divisors (see below), whose sum is σ = 61037829775104. Its totient is φ = 5354143668288.

The previous prime is 20100200110019. The next prime is 20100200110027. The reversal of 20100200110020 is 2001100200102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20100200109984 and 20100200110011.

It is not an unprimeable number, because it can be changed into a prime (20100200110027) 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, 61395604 + ... + 61722123.

Almost surely, 220100200110020 is an apocalyptic number.

20100200110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100200110020 is an abundant number, since it is smaller than the sum of its proper divisors (40937629665084).

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

20100200110020 is a wasteful number, since it uses less digits than its factorization.

20100200110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123118649 (or 123118644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100200110020 its reverse (2001100200102), we get a palindrome (22101300310122).

The spelling of 20100200110020 in words is "twenty trillion, one hundred billion, two hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 907 1814 2721 3628 4535 5442 8163 9070 10884 13605 16326 18140 27210 32652 40815 54420 81630 163260 123117727 246235454 369353181 492470908 615588635 738706362 1108059543 1231177270 1477412724 1846765905 2216119086 2462354540 3693531810 4432238172 5540297715 7387063620 11080595430 22161190860 111667778389 223335556778 335003335167 446671113556 558338891945 670006670334 1005010005501 1116677783890 1340013340668 1675016675835 2010020011002 2233355567780 3350033351670 4020040022004 5025050027505 6700066703340 10050100055010 20100200110020