Search a number
-
+
2121000312123 = 3271117669173219
BaseRepresentation
bin11110110111010101011…
…110000101110100111011
321111202200011021120201200
4132313111132011310323
5234222302034441443
64302212445345243
7306144236121240
oct36672536056473
97452604246650
102121000312123
11748569422240
122a3092868223
13125017a679b4
147492a9c55c7
153a28abc6dd3
hex1edd5785d3b

2121000312123 has 48 divisors (see below), whose sum is σ = 3819875155200. Its totient is φ = 1101749624640.

The previous prime is 2121000312077. The next prime is 2121000312127. The reversal of 2121000312123 is 3212130001212.

2121000312123 is a `hidden beast` number, since 21 + 210 + 0 + 0 + 312 + 123 = 666.

It is not a de Polignac number, because 2121000312123 - 29 = 2121000311611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121000312096 and 2121000312105.

It is not an unprimeable number, because it can be changed into a prime (2121000312127) 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, 12158008 + ... + 12331226.

It is an arithmetic number, because the mean of its divisors is an integer number (79580732400).

Almost surely, 22121000312123 is an apocalyptic number.

2121000312123 is a deficient number, since it is larger than the sum of its proper divisors (1698874843077).

2121000312123 is a wasteful number, since it uses less digits than its factorization.

2121000312123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190912 (or 190909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121000312123 its reverse (3212130001212), we get a palindrome (5333130313335).

The spelling of 2121000312123 in words is "two trillion, one hundred twenty-one billion, three hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 17669 53007 123683 159021 173219 194359 371049 519657 583077 1113147 1212533 1360513 1558971 1749231 1905409 3637599 4081539 5716227 10912797 12244617 13337863 17148681 40013589 120040767 3060606511 9181819533 21424245577 27545458599 33666671621 64272736731 101000014863 192818210193 235666701347 303000044589 707000104041 2121000312123