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42112311201 = 3237126463397
BaseRepresentation
bin100111001110000101…
…101101111110100001
311000200212202001201200
4213032011231332201
51142221222424301
631202432551413
73020403511332
oct471605557641
9130625661650
1042112311201
1116950335784
1281b33b2569
133c81890c4c
142076d40289
151167181c86
hex9ce16dfa1

42112311201 has 12 divisors (see below), whose sum is σ = 62472918612. Its totient is φ = 27316093536.

The previous prime is 42112311191. The next prime is 42112311217. The reversal of 42112311201 is 10211321124.

42112311201 is a `hidden beast` number, since 42 + 112 + 311 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29036160000 + 13076151201 = 170400^2 + 114351^2 .

It is not a de Polignac number, because 42112311201 - 211 = 42112309153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42112312201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63231366 + ... + 63232031.

It is an arithmetic number, because the mean of its divisors is an integer number (5206076551).

Almost surely, 242112311201 is an apocalyptic number.

It is an amenable number.

42112311201 is a deficient number, since it is larger than the sum of its proper divisors (20360607411).

42112311201 is a wasteful number, since it uses less digits than its factorization.

42112311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126463440 (or 126463437 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 42112311201 its reverse (10211321124), we get a palindrome (52323632325).

The spelling of 42112311201 in words is "forty-two billion, one hundred twelve million, three hundred eleven thousand, two hundred one".

Divisors: 1 3 9 37 111 333 126463397 379390191 1138170573 4679145689 14037437067 42112311201