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2231121210031 = 722973113190339
BaseRepresentation
bin100000011101111001001…
…011111110101010101111
321220021220200011210212001
4200131321023332222233
5243023314012210111
64424543554353131
7320123156242600
oct40357113765257
97807820153761
102231121210031
1179023883777a
123004a5b8b7a7
1313251731440c
1479db5c79da7
153d0837011c1
hex207792feaaf

2231121210031 has 48 divisors (see below), whose sum is σ = 2745761090400. Its totient is φ = 1805025503232.

The previous prime is 2231121209971. The next prime is 2231121210079. The reversal of 2231121210031 is 1300121211322.

It is not a de Polignac number, because 2231121210031 - 29 = 2231121209519 is a prime.

It is a super-3 number, since 3×22311212100313 (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 a junction number, because it is equal to n+sod(n) for n = 2231121209990 and 2231121210008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231121210931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11626660 + ... + 11816998.

It is an arithmetic number, because the mean of its divisors is an integer number (57203356050).

Almost surely, 22231121210031 is an apocalyptic number.

2231121210031 is a deficient number, since it is larger than the sum of its proper divisors (514639880369).

2231121210031 is a wasteful number, since it uses less digits than its factorization.

2231121210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190568 (or 190561 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2231121210031 its reverse (1300121211322), we get a palindrome (3531242421353).

The spelling of 2231121210031 in words is "two trillion, two hundred thirty-one billion, one hundred twenty-one million, two hundred ten thousand, thirty-one".

Divisors: 1 7 29 49 73 113 203 511 791 1421 2117 3277 3577 5537 8249 14819 22939 57743 103733 160573 190339 239221 404201 1332373 1674547 5519831 9326611 11721829 13894747 21508307 38638817 97263229 150558149 270471719 402947663 623740903 680842603 1053907043 1570106411 2820633641 4366186321 10990744877 19744435487 30563304247 45533085919 76935214139 318731601433 2231121210031