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34211205031 = 233740201181
BaseRepresentation
bin11111110111001001…
…011000111110100111
310021022020102021122211
4133313021120332213
51030031032030111
623414424504251
72320533305353
oct376711307647
9107266367584
1034211205031
1113566373773
12676931b087
1332c2994cb3
14192785a463
15d536bd521
hex7f7258fa7

34211205031 has 8 divisors (see below), whose sum is σ = 36663477984. Its totient is φ = 31839334560.

The previous prime is 34211205001. The next prime is 34211205109. The reversal of 34211205031 is 13050211243.

It is a happy number.

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 34211205031 - 25 = 34211204999 is a prime.

It is a super-2 number, since 2×342112050312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34211204993 and 34211205011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34211205001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20099740 + ... + 20101441.

It is an arithmetic number, because the mean of its divisors is an integer number (4582934748).

Almost surely, 234211205031 is an apocalyptic number.

34211205031 is a deficient number, since it is larger than the sum of its proper divisors (2452272953).

34211205031 is a wasteful number, since it uses less digits than its factorization.

34211205031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40201241.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 34211205031 its reverse (13050211243), we get a palindrome (47261416274).

The spelling of 34211205031 in words is "thirty-four billion, two hundred eleven million, two hundred five thousand, thirty-one".

Divisors: 1 23 37 851 40201181 924627163 1487443697 34211205031