Search a number
-
+
20031011200020 = 22354741111727851
BaseRepresentation
bin1001000110111110101010…
…10011101001110000010100
32121220221112121111200200110
410203133111103221300110
510111142002331400040
6110334041451443020
74135123062616512
oct443372523516024
977827477450613
1020031011200020
116423116684667
1222b6189156470
13b23bbb007b32
144d3712acb4b2
1524b0bc654980
hex1237d54e9c14

20031011200020 has 96 divisors (see below), whose sum is σ = 57294134747136. Its totient is φ = 5226677136000.

The previous prime is 20031011200009. The next prime is 20031011200063. The reversal of 20031011200020 is 2000211013002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20031011199969 and 20031011200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10729095 + ... + 12456945.

It is an arithmetic number, because the mean of its divisors is an integer number (596813903616).

Almost surely, 220031011200020 is an apocalyptic number.

20031011200020 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 20031011200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28647067373568).

20031011200020 is an abundant number, since it is smaller than the sum of its proper divisors (37263123547116).

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

20031011200020 is a wasteful number, since it uses less digits than its factorization.

20031011200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732021 (or 1732019 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20031011200020 its reverse (2000211013002), we get a palindrome (22031222213022).

The spelling of 20031011200020 in words is "twenty trillion, thirty-one billion, eleven million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 4111 8222 12333 16444 20555 24666 41110 49332 61665 82220 123330 193217 246660 386434 579651 772868 966085 1159302 1727851 1932170 2318604 2898255 3455702 3864340 5183553 5796510 6911404 8639255 10367106 11593020 17278510 20734212 25917765 34557020 51835530 81208997 103671060 162417994 243626991 324835988 406044985 487253982 812089970 974507964 1218134955 1624179940 2436269910 4872539820 7103195461 14206390922 21309586383 28412781844 35515977305 42619172766 71031954610 85238345532 106547931915 142063909220 213095863830 333850186667 426191727660 667700373334 1001550560001 1335400746668 1669250933335 2003101120002 3338501866670 4006202240004 5007752800005 6677003733340 10015505600010 20031011200020