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2123773212 = 22311173725579
BaseRepresentation
bin111111010010110…
…0011010100011100
312111000020212011010
41332211203110130
513322141220322
6550423455220
7103425526431
oct17645432434
95430225133
102123773212
1199a8a6280
124b32b7510
1327acc2852
141620b7b88
15c66b120c
hex7e96351c

2123773212 has 96 divisors (see below), whose sum is σ = 5878897920. Its totient is φ = 589317120.

The previous prime is 2123773199. The next prime is 2123773219.

2123773212 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2123773212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123773219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70239 + ... + 95817.

It is an arithmetic number, because the mean of its divisors is an integer number (61238520).

Almost surely, 22123773212 is an apocalyptic number.

2123773212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123773212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939448960).

2123773212 is an abundant number, since it is smaller than the sum of its proper divisors (3755124708).

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

2123773212 is a wasteful number, since it uses less digits than its factorization.

2123773212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25651 (or 25649 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 2123773212 is about 46084.4139813017. The cubic root of 2123773212 is about 1285.3933424176.

It can be divided in two parts, 21237 and 73212, that added together give a palindrome (94449).

The spelling of 2123773212 in words is "two billion, one hundred twenty-three million, seven hundred seventy-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 37 44 51 66 68 74 102 111 132 148 187 204 222 374 407 444 561 629 748 814 1122 1221 1258 1628 1887 2244 2442 2516 3774 4884 6919 7548 13838 20757 25579 27676 41514 51158 76737 83028 102316 153474 281369 306948 434843 562738 844107 869686 946423 1125476 1304529 1688214 1739372 1892846 2609058 2839269 3376428 3785692 4783273 5218116 5678538 9566546 10410653 11357076 14349819 16089191 19133092 20821306 28699638 31231959 32178382 41642612 48267573 57399276 62463918 64356764 96535146 124927836 176981101 193070292 353962202 530943303 707924404 1061886606 2123773212