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42011110020 = 223511411552517
BaseRepresentation
bin100111001000000011…
…101010101010000100
311000102211022111210210
4213020003222222010
51142014321010040
631144415515420
73015034354215
oct471003525204
9130384274723
1042011110020
11168a91a3840
128185528b70
133c669197a9
14206771940c
15115d341480
hex9c80eaa84

42011110020 has 96 divisors (see below), whose sum is σ = 131454804096. Its totient is φ = 9936102400.

The previous prime is 42011110013. The next prime is 42011110021. The reversal of 42011110020 is 2001111024.

It is a happy number.

It is a super-2 number, since 2×420111100202 (a number of 22 digits) contains 22 as substring.

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 = 42011109978 and 42011110005.

It is not an unprimeable number, because it can be changed into a prime (42011110021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749199 + ... + 803318.

It is an arithmetic number, because the mean of its divisors is an integer number (1369320876).

Almost surely, 242011110020 is an apocalyptic number.

It is an amenable number.

42011110020 is an abundant number, since it is smaller than the sum of its proper divisors (89443694076).

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

42011110020 is a wasteful number, since it uses less digits than its factorization.

42011110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552581 (or 1552579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 42011110020 its reverse (2001111024), we get a palindrome (44012221044).

The spelling of 42011110020 in words is "forty-two billion, eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1804 2255 2460 2706 4510 5412 6765 9020 13530 27060 1552517 3105034 4657551 6210068 7762585 9315102 15525170 17077687 18630204 23287755 31050340 34155374 46575510 51233061 63653197 68310748 85388435 93151020 102466122 127306394 170776870 190959591 204932244 254612788 256165305 318265985 341553740 381919182 512330610 636531970 700185167 763838364 954797955 1024661220 1273063940 1400370334 1909595910 2100555501 2800740668 3500925835 3819191820 4201111002 7001851670 8402222004 10502777505 14003703340 21005555010 42011110020