Search a number
-
+
2121113202 = 231343679439
BaseRepresentation
bin111111001101101…
…1001111001110010
312110211020201022020
41332123121321302
513321001110302
6550250452310
7103364110335
oct17633317162
95424221266
102121113202
1199934981a
124b2434096
1327a5a0b90
141619c461c
15c6337ebc
hex7e6d9e72

2121113202 has 64 divisors (see below), whose sum is σ = 4745072640. Its totient is φ = 627891264.

The previous prime is 2121113201. The next prime is 2121113209. The reversal of 2121113202 is 2023111212.

It is not an unprimeable number, because it can be changed into a prime (2121113201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219999 + ... + 229437.

It is an arithmetic number, because the mean of its divisors is an integer number (74141760).

Almost surely, 22121113202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121113202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372536320).

2121113202 is an abundant number, since it is smaller than the sum of its proper divisors (2623959438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121113202 is a wasteful number, since it uses less digits than its factorization.

2121113202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9567.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2121113202 is about 46055.5447476197. The cubic root of 2121113202 is about 1284.8564697091.

Adding to 2121113202 its reverse (2023111212), we get a palindrome (4144224414).

The spelling of 2121113202 in words is "two billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 13 26 39 43 67 78 86 129 134 201 258 402 559 871 1118 1677 1742 2613 2881 3354 5226 5762 8643 9439 17286 18878 28317 37453 56634 74906 112359 122707 224718 245414 368121 405877 632413 736242 811754 1217631 1264826 1897239 2435262 3794478 5276401 8221369 10552802 15829203 16442738 24664107 27193759 31658406 49328214 54387518 81581277 163162554 353518867 707037734 1060556601 2121113202