Search a number
-
+
2120232135 = 357193134283
BaseRepresentation
bin111111001100000…
…0010110011000111
312110202120221201010
41332120002303013
513320234412020
6550215533303
7103353450540
oct17630026307
95422527633
102120232135
119988a786a
124b208a233
1327a352b38
141618354c7
15c6211de0
hex7e602cc7

2120232135 has 64 divisors (see below), whose sum is σ = 4212817920. Its totient is φ = 888589440.

The previous prime is 2120232133. The next prime is 2120232143. The reversal of 2120232135 is 5312320212.

It is not a de Polignac number, because 2120232135 - 21 = 2120232133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120232133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44704 + ... + 78986.

It is an arithmetic number, because the mean of its divisors is an integer number (65825280).

Almost surely, 22120232135 is an apocalyptic number.

2120232135 is a deficient number, since it is larger than the sum of its proper divisors (2092585785).

2120232135 is a wasteful number, since it uses less digits than its factorization.

2120232135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34348.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2120232135 is about 46045.9784888974. The cubic root of 2120232135 is about 1284.6785440468.

Adding to 2120232135 its reverse (5312320212), we get a palindrome (7432552347).

The spelling of 2120232135 in words is "two billion, one hundred twenty million, two hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 19 21 31 35 57 93 95 105 133 155 217 285 399 465 589 651 665 1085 1767 1995 2945 3255 4123 8835 12369 20615 34283 61845 102849 171415 239981 514245 651377 719943 1062773 1199905 1954131 3188319 3256885 3599715 4559639 5313865 7439411 9770655 13678917 15941595 20192687 22318233 22798195 37197055 60578061 68394585 100963435 111591165 141348809 302890305 424046427 706744045 2120232135