211142151203305 has 48 divisors (see below), whose sum is σ = 301062763547136. Its totient is φ = 141677015034240.

The previous prime is 211142151203189. The next prime is 211142151203309. The reversal of 211142151203305 is 503302151241112.

It is not a de Polignac number, because 211142151203305 - 2²⁵ = 211142117648873 is a prime.

It is a super-2 number, since 2×211142151203305² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211142151203309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61984615 + ... + 65302195.

It is an arithmetic number, because the mean of its divisors is an integer number (6272140907232).

Almost surely, 2^{211142151203305} is an apocalyptic number.

It is an amenable number.

211142151203305 is a deficient number, since it is larger than the sum of its proper divisors (89920612343831).

211142151203305 is a wasteful number, since it uses less digits than its factorization.

211142151203305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323174 (or 3323167 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 211142151203305 in words is "two hundred eleven trillion, one hundred forty-two billion, one hundred fifty-one million, two hundred three thousand, three hundred five".