34312001153105 has 32 divisors (see below), whose sum is σ = 45427358759328. Its totient is φ = 24717809664000.

The previous prime is 34312001153071. The next prime is 34312001153123. The reversal of 34312001153105 is 50135110021343.

It can be written as a sum of positive squares in 16 ways, for example, as 14753211862081 + 19558789291024 = 3840991^2 + 4422532^2 .

It is not a de Polignac number, because 34312001153105 - 2¹² = 34312001149009 is a prime.

It is a super-2 number, since 2×34312001153105² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28558505 + ... + 29735705.

It is an arithmetic number, because the mean of its divisors is an integer number (1419604961229).

Almost surely, 2^{34312001153105} is an apocalyptic number.

It is an amenable number.

34312001153105 is a deficient number, since it is larger than the sum of its proper divisors (11115357606223).

34312001153105 is a wasteful number, since it uses less digits than its factorization.

34312001153105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188197.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 34312001153105 its reverse (50135110021343), we get a palindrome (84447111174448).

The spelling of 34312001153105 in words is "thirty-four trillion, three hundred twelve billion, one million, one hundred fifty-three thousand, one hundred five".