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34210102401 = 323801122489
BaseRepresentation
bin11111110111000101…
…001011110010000001
310021022011100021010200
4133313011023302001
51030030241234101
623414345115413
72320521033606
oct376705136201
9107264307120
1034210102401
1113565790302
126768a88b69
1332c269a157
1419276506ad
15d53551986
hex7f714bc81

34210102401 has 6 divisors (see below), whose sum is σ = 49414592370. Its totient is φ = 22806734928.

The previous prime is 34210102369. The next prime is 34210102403. The reversal of 34210102401 is 10420101243.

34210102401 is a `hidden beast` number, since 3 + 421 + 0 + 1 + 0 + 240 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31201689600 + 3008412801 = 176640^2 + 54849^2 .

It is not a de Polignac number, because 34210102401 - 25 = 34210102369 is a prime.

It is a super-2 number, since 2×342101024012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34210102403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1900561236 + ... + 1900561253.

It is an arithmetic number, because the mean of its divisors is an integer number (8235765395).

Almost surely, 234210102401 is an apocalyptic number.

It is an amenable number.

34210102401 is a deficient number, since it is larger than the sum of its proper divisors (15204489969).

34210102401 is a wasteful number, since it uses less digits than its factorization.

34210102401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801122495 (or 3801122492 counting only the distinct ones).

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

Adding to 34210102401 its reverse (10420101243), we get a palindrome (44630203644).

The spelling of 34210102401 in words is "thirty-four billion, two hundred ten million, one hundred two thousand, four hundred one".

Divisors: 1 3 9 3801122489 11403367467 34210102401