Search a number
-
+
2122130312211 = 371337390753773
BaseRepresentation
bin11110111000011000110…
…100101100110000010011
321111212120220120112102210
4132320120310230300103
5234232110324442321
64302520533243203
7306214240013160
oct36703064546023
97455526515383
102122130312211
11748a99268008
122a3349193503
13125167bc06c0
14749d6ad3067
153a304ed6b76
hex1ee18d2cc13

2122130312211 has 64 divisors (see below), whose sum is σ = 3577573035008. Its totient is φ = 1088813311488.

The previous prime is 2122130312207. The next prime is 2122130312231. The reversal of 2122130312211 is 1122130312212.

It is not a de Polignac number, because 2122130312211 - 22 = 2122130312207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2122130312231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39437721 + ... + 39491493.

It is an arithmetic number, because the mean of its divisors is an integer number (55899578672).

Almost surely, 22122130312211 is an apocalyptic number.

2122130312211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2122130312211 is a deficient number, since it is larger than the sum of its proper divisors (1455442722797).

2122130312211 is a wasteful number, since it uses less digits than its factorization.

2122130312211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57740.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2122130312211 its reverse (1122130312212), we get a palindrome (3244260624423).

Subtracting from 2122130312211 its reverse (1122130312212), we obtain a palindrome (999999999999).

The spelling of 2122130312211 in words is "two trillion, one hundred twenty-two billion, one hundred thirty million, three hundred twelve thousand, two hundred eleven".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 3907 10101 11721 27349 50791 53773 82047 144559 152373 161319 355537 376411 433677 699049 1011913 1066611 1129233 1879267 1989601 2097147 3035739 4893343 5637801 5968803 13154869 13927207 14680029 25864813 39464607 41781621 77594439 181053691 210091111 543161073 630273333 1470637777 2731184443 4411913331 7773371107 8193553329 19118291101 23320113321 54413597749 57354873303 101053824391 163240793247 303161473173 707376770737 2122130312211