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34402000121 = 149323939629
BaseRepresentation
bin100000000010100001…
…001101110011111001
310021210112102200022122
4200002201031303321
51030423403000441
623445402131025
72325341114306
oct400241156371
9107715380278
1034402000121
1113654039965
1268011b0a75
1333233785b8
141944d240ad
15d6530a34b
hex80284dcf9

34402000121 has 8 divisors (see below), whose sum is σ = 34443004680. Its totient is φ = 34361022592.

The previous prime is 34402000117. The next prime is 34402000133. The reversal of 34402000121 is 12100020443.

It can be written as a sum of positive squares in 4 ways, for example, as 11763788521 + 22638211600 = 108461^2 + 150460^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34402000121 - 22 = 34402000117 is a prime.

It is a super-2 number, since 2×344020001212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34402000121.

It is not an unprimeable number, because it can be changed into a prime (34402000111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3567935 + ... + 3577563.

It is an arithmetic number, because the mean of its divisors is an integer number (4305375585).

Almost surely, 234402000121 is an apocalyptic number.

It is an amenable number.

34402000121 is a deficient number, since it is larger than the sum of its proper divisors (41004559).

34402000121 is a wasteful number, since it uses less digits than its factorization.

34402000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13515.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 34402000121 its reverse (12100020443), we get a palindrome (46502020564).

The spelling of 34402000121 in words is "thirty-four billion, four hundred two million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 1493 2393 9629 3572749 14376097 23042197 34402000121