Search a number
-
+
2123210133 = 321141691757
BaseRepresentation
bin111111010001101…
…1001110110010101
312110222012020202100
41332203121312111
513322020211013
6550403432313
7103420663002
oct17643316625
95428166670
102123210133
1199a551220
124b3085699
1327ab56475
14161dac8a9
15c65ee473
hex7e8d9d95

2123210133 has 48 divisors (see below), whose sum is σ = 3436759872. Its totient is φ = 1251936000.

The previous prime is 2123210129. The next prime is 2123210137. The reversal of 2123210133 is 3310123212.

2123210133 is a `hidden beast` number, since 212 + 321 + 0 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (2123210129) and next prime (2123210137).

It is not a de Polignac number, because 2123210133 - 22 = 2123210129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123210137) 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 47 ways as a sum of consecutive naturals, for example, 2804391 + ... + 2805147.

It is an arithmetic number, because the mean of its divisors is an integer number (71599164).

Almost surely, 22123210133 is an apocalyptic number.

It is an amenable number.

2123210133 is a deficient number, since it is larger than the sum of its proper divisors (1313549739).

2123210133 is a wasteful number, since it uses less digits than its factorization.

2123210133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2123210133 is about 46078.3043633335. The cubic root of 2123210133 is about 1285.2797329906.

Adding to 2123210133 its reverse (3310123212), we get a palindrome (5433333345).

The spelling of 2123210133 in words is "two billion, one hundred twenty-three million, two hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 41 99 123 369 451 691 757 1353 2073 2271 4059 6219 6813 7601 8327 22803 24981 28331 31037 68409 74943 84993 93111 254979 279333 311641 341407 523087 934923 1024221 1569261 2804769 3072663 4707783 5753957 17261871 21446567 51785613 64339701 193019103 235912237 707736711 2123210133