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42102321012 = 22322748142557
BaseRepresentation
bin100111001101011111…
…100110111101110100
311000200011221111202200
4213031133212331310
51142211143233022
631201434504500
73020222552403
oct471537467564
9130604844680
1042102321012
1116945731a24
1281abb95130
133c7c7a39ab
14207589d63a
15116635bbac
hex9cd7e6f74

42102321012 has 36 divisors (see below), whose sum is σ = 106431684996. Its totient is φ = 14033266560.

The previous prime is 42102321007. The next prime is 42102321029. The reversal of 42102321012 is 21012320124.

It is a happy number.

42102321012 is a `hidden beast` number, since 421 + 0 + 23 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41161917456 + 940403556 = 202884^2 + 30666^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 968038 + ... + 1010594.

Almost surely, 242102321012 is an apocalyptic number.

It is an amenable number.

42102321012 is an abundant number, since it is smaller than the sum of its proper divisors (64329363984).

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

42102321012 is a wasteful number, since it uses less digits than its factorization.

42102321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70048 (or 70043 counting only the distinct ones).

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

Adding to 42102321012 its reverse (21012320124), we get a palindrome (63114641136).

The spelling of 42102321012 in words is "forty-two billion, one hundred two million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 27481 42557 54962 82443 85114 109924 127671 164886 170228 247329 255342 329772 383013 494658 510684 766026 989316 1532052 1169508917 2339017834 3508526751 4678035668 7017053502 10525580253 14034107004 21051160506 42102321012