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2312122203001 = 13502135422337
BaseRepresentation
bin100001101001010101001…
…110001111101101111001
322012000222202211121001201
4201221111032033231321
5300340211240444001
64530101351014201
7326021354312212
oct41512516175571
98160882747051
102312122203001
11811624785676
1231413106a361
1313a055943360
147dc9b940409
15402249ea501
hex21a5538fb79

2312122203001 has 8 divisors (see below), whose sum is σ = 2490473740104. Its totient is φ = 2133841520640.

The previous prime is 2312122202989. The next prime is 2312122203023. The reversal of 2312122203001 is 1003022212132.

It can be written as a sum of positive squares in 4 ways, for example, as 473722475625 + 1838399727376 = 688275^2 + 1355876^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2312122203001 is a prime.

It is a super-2 number, since 2×23121222030012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2312122203001.

It is not an unprimeable number, because it can be changed into a prime (2312122203401) 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 7 ways as a sum of consecutive naturals, for example, 17645896 + ... + 17776441.

It is an arithmetic number, because the mean of its divisors is an integer number (311309217513).

Almost surely, 22312122203001 is an apocalyptic number.

It is an amenable number.

2312122203001 is a deficient number, since it is larger than the sum of its proper divisors (178351537103).

2312122203001 is a wasteful number, since it uses less digits than its factorization.

2312122203001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35427371.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2312122203001 its reverse (1003022212132), we get a palindrome (3315144415133).

The spelling of 2312122203001 in words is "two trillion, three hundred twelve billion, one hundred twenty-two million, two hundred three thousand, one".

Divisors: 1 13 5021 65273 35422337 460490381 177855554077 2312122203001