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2123001231 = 3132953107331
BaseRepresentation
bin111111010001010…
…0110110110001111
312110221210122012020
41332202212312033
513321442014411
6550355141223
7103416132651
oct17642466617
95427718166
102123001231
1199a41927a
124b2ba4813
1327aab2360
14161d566d1
15c65ac606
hex7e8a6d8f

2123001231 has 64 divisors (see below), whose sum is σ = 3252856320. Its totient is φ = 1222341120.

The previous prime is 2123001143. The next prime is 2123001253. The reversal of 2123001231 is 1321003212.

It is not a de Polignac number, because 2123001231 - 27 = 2123001103 is a prime.

It is a super-2 number, since 2×21230012312 = 9014268453655030722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2123001231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123001931) 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 63 ways as a sum of consecutive naturals, for example, 6413736 + ... + 6414066.

It is an arithmetic number, because the mean of its divisors is an integer number (50825880).

Almost surely, 22123001231 is an apocalyptic number.

2123001231 is a deficient number, since it is larger than the sum of its proper divisors (1129855089).

2123001231 is a wasteful number, since it uses less digits than its factorization.

2123001231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2123001231 is about 46076.0374923886. The cubic root of 2123001231 is about 1285.2375788472.

Adding to 2123001231 its reverse (1321003212), we get a palindrome (3444004443).

It can be divided in two parts, 212300 and 1231, that added together give a triangular number (213531 = T653).

The spelling of 2123001231 in words is "two billion, one hundred twenty-three million, one thousand, two hundred thirty-one".

Divisors: 1 3 13 29 39 53 87 107 159 321 331 377 689 993 1131 1391 1537 2067 3103 4173 4303 4611 5671 9309 9599 12909 17013 17543 19981 28797 35417 40339 52629 59943 73723 106251 121017 124787 164459 221169 228059 374361 460421 493377 508747 684177 1027093 1381263 1526241 1877101 2137967 3081279 5631303 6413901 6613711 13352209 19841133 24402313 40056627 54435929 73206939 163307787 707667077 2123001231