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422321340221231 = 115973101137701919
BaseRepresentation
bin110000000000110010101100…
…1011101110000011100101111
32001101022112012022220001122212
41200001211121131300130233
5420323303101044034411
64054111424554201035
7154645465336201253
oct14001453135603457
92041275168801585
10422321340221231
11112623524729890
123b44885642317b
131518596814a799
147640667770263
1533c5831da468b
hex180195977072f

422321340221231 has 128 divisors (see below), whose sum is σ = 484360159795200. Its totient is φ = 364955673600000.

The previous prime is 422321340221149. The next prime is 422321340221251. The reversal of 422321340221231 is 132122043123224.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-422321340221231 is a prime.

It is a super-2 number, since 2×4223213402212312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422321340221251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 459544439390 + ... + 459544440308.

It is an arithmetic number, because the mean of its divisors is an integer number (3784063748400).

Almost surely, 2422321340221231 is an apocalyptic number.

422321340221231 is a deficient number, since it is larger than the sum of its proper divisors (62038819573969).

422321340221231 is a wasteful number, since it uses less digits than its factorization.

422321340221231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 422321340221231 its reverse (132122043123224), we get a palindrome (554443383344455).

It can be divided in two parts, 4223213 and 40221231, that added together give a palindrome (44444444).

The spelling of 422321340221231 in words is "four hundred twenty-two trillion, three hundred twenty-one billion, three hundred forty million, two hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 11 59 73 101 137 649 701 803 919 1111 1507 4307 5959 7373 7711 8083 10001 10109 13837 41359 47377 51173 54221 65549 67087 70801 81103 88913 92819 96037 110011 125903 152207 435007 454949 562903 590059 596431 644219 737957 778811 816383 1010101 1021009 1056407 1384933 3019207 3958133 4177259 4785077 5168473 5476321 5666183 6490649 6775787 7010701 7086409 7428277 8980213 9190919 9699737 11111111 12716203 33211277 38008921 43539463 45949849 47027987 56853203 59595959 60239531 62328013 65066119 74533657 77117711 81711047 88258003 101100109 106697107 139878233 304939907 399771433 413631359 418098131 517307857 542264221 572284483 655555549 708080801 715727309 750255977 928282819 970838033 2774651233 3354338977 3838901021 4397485763 4549944949 4749826687 5207222177 5964906431 6295129313 6442834219 7788888811 8252815747 8914058303 10211111009 30521163563 41776767259 42227911231 52248093557 54768686321 57279443947 70871176409 98054641333 280239774533 380127218921 459544439849 525929439877 602455549531 650726256119 3082637519863 4181399408131 5785223838647 7157988817309 38392849111021 422321340221231