Search a number
-
+
2124306034212 = 2231910192248829
BaseRepresentation
bin11110111010011010100…
…000011010111000100100
321112002012112120122221010
4132322122200122320210
5234301034321043322
64303520454422220
7306322166235045
oct36723240327044
97462175518833
102124306034212
11749a0541516a
122a3855961970
131254238a167b
1474b61a508cc
153a3d100a20c
hex1ee9a81ae24

2124306034212 has 48 divisors (see below), whose sum is σ = 5269253169600. Its totient is φ = 664191561600.

The previous prime is 2124306034139. The next prime is 2124306034241.

2124306034212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21243060342122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2124306034212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46101387 + ... + 46147442.

It is an arithmetic number, because the mean of its divisors is an integer number (109776107700).

Almost surely, 22124306034212 is an apocalyptic number.

It is an amenable number.

2124306034212 is an abundant number, since it is smaller than the sum of its proper divisors (3144947135388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2124306034212 is a wasteful number, since it uses less digits than its factorization.

2124306034212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92248956 (or 92248954 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 2124306034212 in words is "two trillion, one hundred twenty-four billion, three hundred six million, thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 404 606 1212 1919 3838 5757 7676 11514 23028 92248829 184497658 276746487 368995316 553492974 1106985948 1752727751 3505455502 5258183253 7010911004 9317131729 10516366506 18634263458 21032733012 27951395187 37268526916 55902790374 111805580748 177025502851 354051005702 531076508553 708102011404 1062153017106 2124306034212