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34212000013 = 1737594432081
BaseRepresentation
bin11111110111001100…
…011011000100001101
310021022021220200011121
4133313030123010031
51030031233000023
623414453520541
72320543126162
oct376714330415
9107267820147
1034212000013
1113566866a84
126769643151
1332c2bb2ab9
1419279c6069
15d537c8d5d
hex7f731b10d

34212000013 has 32 divisors (see below), whose sum is σ = 37937704320. Its totient is φ = 30713978880.

The previous prime is 34211999981. The next prime is 34212000019. The reversal of 34212000013 is 31000021243.

It is a happy number.

It is not a de Polignac number, because 34212000013 - 25 = 34211999981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34212000019) 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, 16439133 + ... + 16441213.

It is an arithmetic number, because the mean of its divisors is an integer number (1185553260).

Almost surely, 234212000013 is an apocalyptic number.

It is an amenable number.

34212000013 is a deficient number, since it is larger than the sum of its proper divisors (3725704307).

34212000013 is a wasteful number, since it uses less digits than its factorization.

34212000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 34212000013 its reverse (31000021243), we get a palindrome (65212021256).

The spelling of 34212000013 in words is "thirty-four billion, two hundred twelve million, thirteen", and thus it is an aban number.

Divisors: 1 17 37 59 443 629 1003 2081 2183 7531 16391 26137 35377 37111 76997 122779 278647 444329 921883 967069 1308949 2087243 4542823 15672011 16440173 34109671 54391097 77227991 579864407 924648649 2012470589 34212000013