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2212431044001 = 323114013281233
BaseRepresentation
bin100000001100011111001…
…010101001110110100001
321211111200010100000000120
4200030133022221312201
5242222024321402001
64412213215310453
7315562050404613
oct40143712516641
97744603300016
102212431044001
11783317712372
122b894a81b429
13130829108889
1479121914db3
153c83c969236
hex2031f2a9da1

2212431044001 has 16 divisors (see below), whose sum is σ = 3078202874496. Its totient is φ = 1410808202496.

The previous prime is 2212431043973. The next prime is 2212431044029. The reversal of 2212431044001 is 1004401342122.

It is an interprime number because it is at equal distance from previous prime (2212431043973) and next prime (2212431044029).

It is not a de Polignac number, because 2212431044001 - 210 = 2212431042977 is a prime.

It is a super-3 number, since 3×22124310440013 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2212431044071) 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 15 ways as a sum of consecutive naturals, for example, 7726281 + ... + 8007513.

It is an arithmetic number, because the mean of its divisors is an integer number (192387679656).

Almost surely, 22212431044001 is an apocalyptic number.

It is an amenable number.

2212431044001 is a deficient number, since it is larger than the sum of its proper divisors (865771830495).

2212431044001 is a wasteful number, since it uses less digits than its factorization.

2212431044001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395272.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2212431044001 its reverse (1004401342122), we get a palindrome (3216832386123).

The spelling of 2212431044001 in words is "two trillion, two hundred twelve billion, four hundred thirty-one million, forty-four thousand, one".

Divisors: 1 3 23 69 114013 281233 342039 843699 2622299 6468359 7866897 19405077 32064218029 96192654087 737477014667 2212431044001