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42222011013 = 327131011972591
BaseRepresentation
bin100111010100101000…
…001100001010000101
311000222112011101120200
4213110220030022011
51142432313323023
631221352121113
73023205113010
oct472450141205
9130875141520
1042222011013
11169a7251886
128224096199
133c9b51c790
142087738377
151171b00743
hex9d4a0c285

42222011013 has 96 divisors (see below), whose sum is σ = 76218734592. Its totient is φ = 21930048000.

The previous prime is 42222011009. The next prime is 42222011057. The reversal of 42222011013 is 31011022224.

It is a happy number.

42222011013 is a `hidden beast` number, since 422 + 220 + 1 + 10 + 13 = 666.

It is not a de Polignac number, because 42222011013 - 22 = 42222011009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42222011003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16294348 + ... + 16296938.

It is an arithmetic number, because the mean of its divisors is an integer number (793945152).

Almost surely, 242222011013 is an apocalyptic number.

It is an amenable number.

42222011013 is a deficient number, since it is larger than the sum of its proper divisors (33996723579).

42222011013 is a wasteful number, since it uses less digits than its factorization.

42222011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42222011013 its reverse (31011022224), we get a palindrome (73233033237).

The spelling of 42222011013 in words is "forty-two billion, two hundred twenty-two million, eleven thousand, thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 101 117 197 273 303 591 707 819 909 1313 1379 1773 2121 2561 2591 3939 4137 6363 7683 7773 9191 11817 12411 17927 18137 19897 23049 23319 27573 33683 53781 54411 59691 82719 101049 139279 161343 163233 179073 235781 258661 261691 303147 417837 510427 707343 775983 785073 1253511 1531281 1810627 1831837 2122029 2327949 2355219 3401983 3572989 4593843 5431881 5495511 6635551 10205949 10718967 16295643 16486533 19906653 23813881 30617847 32156901 46448857 51553127 59719959 71441643 139346571 154659381 214324929 360871889 418039713 463978143 670190651 1082615667 2010571953 3247847001 4691334557 6031715859 14074003671 42222011013