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2123012021 = 1341101113349
BaseRepresentation
bin111111010001010…
…1001011110110101
312110221211011222212
41332202221132311
513321442341041
6550355303205
7103416206264
oct17642513665
95427734885
102123012021
1199a426399
124b2baab05
1327aab7240
14161d5a5db
15c65b08eb
hex7e8a97b5

2123012021 has 32 divisors (see below), whose sum is σ = 2393042400. Its totient is φ = 1870848000.

The previous prime is 2123012009. The next prime is 2123012053. The reversal of 2123012021 is 1202103212.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1053002500 + 1070009521 = 32450^2 + 32711^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123012021 - 210 = 2123010997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2123011987 and 2123012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123012321) 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 31 ways as a sum of consecutive naturals, for example, 6082955 + ... + 6083303.

It is an arithmetic number, because the mean of its divisors is an integer number (74782575).

Almost surely, 22123012021 is an apocalyptic number.

It is an amenable number.

2123012021 is a deficient number, since it is larger than the sum of its proper divisors (270030379).

2123012021 is a wasteful number, since it uses less digits than its factorization.

2123012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2123012021 is about 46076.1545813016. The cubic root of 2123012021 is about 1285.2397562192.

Adding to 2123012021 its reverse (1202103212), we get a palindrome (3325115233).

The spelling of 2123012021 in words is "two billion, one hundred twenty-three million, twelve thousand, twenty-one".

Divisors: 1 13 41 101 113 349 533 1313 1469 4141 4537 4633 11413 14309 35249 39437 53833 60229 148369 186017 458237 467933 512681 1445209 1616917 3983137 6083129 18787717 21019921 51780781 163308617 2123012021