Search a number
-
+
213112132031001 = 3710148196763381
BaseRepresentation
bin110000011101001100001000…
…111011010101001000011001
31000221120022122220022221221010
4300131030020323111020121
5210413112121244443001
62033130210100404133
762613562204531410
oct6035141073251031
91027508586287833
10213112132031001
11619a4390789645
121ba9a6859a6649
1391bb5070685a8
143a8a97a056477
151998807ab18d6
hexc1d308ed5219

213112132031001 has 8 divisors (see below), whose sum is σ = 324742296428224. Its totient is φ = 121778361160560.

The previous prime is 213112132030921. The next prime is 213112132031033. The reversal of 213112132031001 is 100130231211312.

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

It is not a de Polignac number, because 213112132031001 - 27 = 213112132030873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10148196763381 = 213112132031001 / (2 + 1 + 3 + 1 + 1 + 2 + 1 + 3 + 2 + 0 + 3 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213112132031501) 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, 5074098381670 + ... + 5074098381711.

It is an arithmetic number, because the mean of its divisors is an integer number (40592787053528).

Almost surely, 2213112132031001 is an apocalyptic number.

213112132031001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213112132031001 is a deficient number, since it is larger than the sum of its proper divisors (111630164397223).

213112132031001 is a wasteful number, since it uses less digits than its factorization.

213112132031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148196763391.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 213112132031001 its reverse (100130231211312), we get a palindrome (313242363242313).

The spelling of 213112132031001 in words is "two hundred thirteen trillion, one hundred twelve billion, one hundred thirty-two million, thirty-one thousand, one".

Divisors: 1 3 7 21 10148196763381 30444590290143 71037377343667 213112132031001