Search a number
-
+
2212901124327 = 371011843221
BaseRepresentation
bin100000001100111011001…
…011110111100011100111
321211112212212212120000000
4200030323023313203213
5242224010141434302
64412332010552343
7315606516126315
oct40147313674347
97745785776000
102212901124327
11783538aa3703
122b8a601386b3
131308a261640a
147916811d0b5
153c868d7231c
hex2033b2f78e7

2212901124327 has 16 divisors (see below), whose sum is σ = 3318845768160. Its totient is φ = 1475267414760.

The previous prime is 2212901124319. The next prime is 2212901124373. The reversal of 2212901124327 is 7234211092122.

2212901124327 is a `hidden beast` number, since 2 + 21 + 2 + 90 + 112 + 432 + 7 = 666.

It is not a de Polignac number, because 2212901124327 - 23 = 2212901124319 is a prime.

It is a super-2 number, since 2×22129011243272 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2212901124291 and 2212901124300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212901124377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505919424 + ... + 505923797.

It is an arithmetic number, because the mean of its divisors is an integer number (207427860510).

Almost surely, 22212901124327 is an apocalyptic number.

2212901124327 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2212901124327 is a deficient number, since it is larger than the sum of its proper divisors (1105944643833).

2212901124327 is an frugal number, since it uses more digits than its factorization.

2212901124327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011843242 (or 1011843224 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2212901124327 in words is "two trillion, two hundred twelve billion, nine hundred one million, one hundred twenty-four thousand, three hundred twenty-seven".

Divisors: 1 3 9 27 81 243 729 2187 1011843221 3035529663 9106588989 27319766967 81959300901 245877902703 737633708109 2212901124327