Search a number
-
+
2211102313032 = 23343832311009
BaseRepresentation
bin100000001011001111111…
…101111100101001001000
321211101020112002110210110
4200023033331330221020
5242211314143004112
64411433312114320
7315514114362444
oct40131775745110
97741215073713
102211102313032
117827a56810a8
122b86398359a0
13130676a51432
1479037275824
153c7b0ea113c
hex202cff7ca48

2211102313032 has 96 divisors (see below), whose sum is σ = 5725296007200. Its totient is φ = 711218070528.

The previous prime is 2211102313019. The next prime is 2211102313033. The reversal of 2211102313032 is 2303132011122.

2211102313032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2211102313033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6953944 + ... + 7264952.

It is an arithmetic number, because the mean of its divisors is an integer number (59638500075).

Almost surely, 22211102313032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211102313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862648003600).

2211102313032 is an abundant number, since it is smaller than the sum of its proper divisors (3514193694168).

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

2211102313032 is a wasteful number, since it uses less digits than its factorization.

2211102313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311227 (or 311140 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2211102313032 its reverse (2303132011122), we get a palindrome (4514234324154).

The spelling of 2211102313032 in words is "two trillion, two hundred eleven billion, one hundred two million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 83 86 129 166 172 249 258 332 344 498 516 664 996 1032 1992 3569 6889 7138 10707 13778 14276 20667 21414 27556 28552 41334 42828 55112 82668 85656 165336 296227 311009 592454 622018 888681 933027 1184908 1244036 1777362 1866054 2369816 2488072 3554724 3732108 7109448 7464216 13373387 25813747 26746774 40120161 51627494 53493548 77441241 80240322 103254988 106987096 154882482 160480644 206509976 309764964 320961288 619529928 1109991121 2142541001 2219982242 3329973363 4285082002 4439964484 6427623003 6659946726 8570164004 8879928968 12855246006 13319893452 17140328008 25710492012 26639786904 51420984024 92129263043 184258526086 276387789129 368517052172 552775578258 737034104344 1105551156516 2211102313032