Search a number
-
+
2221023000131 = 132352314203003
BaseRepresentation
bin100000010100011111010…
…010010111011001000011
321212022211220121121001222
4200110133102113121003
5242342123342001011
64420153542545255
7316315010002445
oct40243722273103
97768756547058
102221023000131
11786a26644161
122ba54813822b
1313159818c1a0
14796d8a70495
153cb91de3ddb
hex2051f497643

2221023000131 has 16 divisors (see below), whose sum is σ = 2500637696256. Its totient is φ = 1957287299616.

The previous prime is 2221023000127. The next prime is 2221023000149. The reversal of 2221023000131 is 1310003201222.

It is a cyclic number.

It is not a de Polignac number, because 2221023000131 - 22 = 2221023000127 is a prime.

It is a super-3 number, since 3×22210230001313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2221023000191) 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, 6945125 + ... + 7257878.

It is an arithmetic number, because the mean of its divisors is an integer number (156289856016).

Almost surely, 22221023000131 is an apocalyptic number.

2221023000131 is a deficient number, since it is larger than the sum of its proper divisors (279614696125).

2221023000131 is a wasteful number, since it uses less digits than its factorization.

2221023000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203562.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2221023000131 its reverse (1310003201222), we get a palindrome (3531026201353).

The spelling of 2221023000131 in words is "two trillion, two hundred twenty-one billion, twenty-three million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 13 23 299 523 6799 12029 156377 14203003 184639039 326669069 4246697897 7428170569 96566217397 170847923087 2221023000131