Search a number
-
+
2120100201 = 324161131719
BaseRepresentation
bin111111001011110…
…0010100101101001
312110202100020201200
41332113202211221
513320221201301
6550213034413
7103352361102
oct17627424551
95422306650
102120100201
1199881772a
124b2025a09
1327a307a7b
141617dd3a9
15c61d7c86
hex7e5e2969

2120100201 has 48 divisors (see below), whose sum is σ = 3217294080. Its totient is φ = 1344096000.

The previous prime is 2120100197. The next prime is 2120100263. The reversal of 2120100201 is 1020010212.

It is not a de Polignac number, because 2120100201 - 22 = 2120100197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2120100271) 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, 2948320 + ... + 2949038.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960).

Almost surely, 22120100201 is an apocalyptic number.

It is an amenable number.

2120100201 is a deficient number, since it is larger than the sum of its proper divisors (1097193879).

2120100201 is a wasteful number, since it uses less digits than its factorization.

2120100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2120100201 is about 46044.5458333558. The cubic root of 2120100201 is about 1284.6518966038.

Adding to 2120100201 its reverse (1020010212), we get a palindrome (3140110413).

The spelling of 2120100201 in words is "two billion, one hundred twenty million, one hundred thousand, two hundred one".

Divisors: 1 3 9 41 61 123 131 183 369 393 549 719 1179 2157 2501 5371 6471 7503 7991 16113 22509 23973 29479 43859 48339 71919 88437 94189 131577 265311 282567 327631 394731 847701 982893 1798219 2948679 3861749 5394657 5745529 11585247 16183971 17236587 34755741 51709761 235566689 706700067 2120100201