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2120142267 = 3217411372467
BaseRepresentation
bin111111001011110…
…1100110110111011
312110202102101102200
41332113230312323
513320224023032
6550214001243
7103352624535
oct17627546673
95422371380
102120142267
119988462a1
124b2046223
1327a320c69
14161810855
15c61e547c
hex7e5ecdbb

2120142267 has 48 divisors (see below), whose sum is σ = 3347259552. Its totient is φ = 1287843840.

The previous prime is 2120142263. The next prime is 2120142313. The reversal of 2120142267 is 7622410212.

It is not a de Polignac number, because 2120142267 - 22 = 2120142263 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2120142267.

It is not an unprimeable number, because it can be changed into a prime (2120142263) 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, 858168 + ... + 860634.

It is an arithmetic number, because the mean of its divisors is an integer number (69734574).

Almost surely, 22120142267 is an apocalyptic number.

2120142267 is a deficient number, since it is larger than the sum of its proper divisors (1227117285).

2120142267 is a wasteful number, since it uses less digits than its factorization.

2120142267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2120142267 is about 46045.0026278640. The cubic root of 2120142267 is about 1284.6603930276.

Adding to 2120142267 its reverse (7622410212), we get a palindrome (9742552479).

The spelling of 2120142267 in words is "two billion, one hundred twenty million, one hundred forty-two thousand, two hundred sixty-seven".

Divisors: 1 3 9 17 41 51 123 137 153 369 411 697 1233 2091 2329 2467 5617 6273 6987 7401 16851 20961 22203 41939 50553 95489 101147 125817 286467 303441 337979 377451 859401 910323 1013937 1719499 3041811 5158497 5745643 13857139 15475491 17236929 41571417 51710787 124714251 235571363 706714089 2120142267