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34212000100 = 22521058932309
BaseRepresentation
bin11111110111001100…
…011011000101100100
310021022021220200021211
4133313030123011210
51030031233000400
623414453521204
72320543126345
oct376714330544
9107267820254
1034212000100
1113566867053
126769643204
1332c2bb2b55
1419279c60cc
15d537c8dba
hex7f731b164

34212000100 has 36 divisors (see below), whose sum is σ = 74249349300. Its totient is φ = 13683084160.

The previous prime is 34212000079. The next prime is 34212000103. The reversal of 34212000100 is 100021243.

It can be written as a sum of positive squares in 6 ways, for example, as 306670144 + 33905329956 = 17512^2 + 184134^2 .

It is not an unprimeable number, because it can be changed into a prime (34212000103) 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, 1042746 + ... + 1075054.

It is an arithmetic number, because the mean of its divisors is an integer number (2062481925).

Almost surely, 234212000100 is an apocalyptic number.

It is an amenable number.

34212000100 is an abundant number, since it is smaller than the sum of its proper divisors (40037349200).

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

34212000100 is a wasteful number, since it uses less digits than its factorization.

34212000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42912 (or 42905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 34212000100 its reverse (100021243), we get a palindrome (34312021343).

The spelling of 34212000100 in words is "thirty-four billion, two hundred twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 10589 21178 32309 42356 52945 64618 105890 129236 161545 211780 264725 323090 529450 646180 807725 1058900 1615450 3230900 342120001 684240002 1368480004 1710600005 3421200010 6842400020 8553000025 17106000050 34212000100