Search a number
-
+
22310411014010 = 2573197233141707
BaseRepresentation
bin1010001001010100011000…
…00111111000111101111010
32220222212001220101200201102
411010222030013320331322
510411013210204422020
6115241132240251402
74461605532431000
oct504521407707572
986885056350642
1022310411014010
117121879428029
122603aa7610b62
13c5ab2a560a12
14571b88802a70
1528a52951c475
hex144a8c1f8f7a

22310411014010 has 128 divisors (see below), whose sum is σ = 47272428403200. Its totient is φ = 7577738552832.

The previous prime is 22310411013991. The next prime is 22310411014091. The reversal of 22310411014010 is 1041011401322.

It is a super-3 number, since 3×223104110140103 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 157369577 + ... + 157511283.

It is an arithmetic number, because the mean of its divisors is an integer number (369315846900).

Almost surely, 222310411014010 is an apocalyptic number.

22310411014010 is an abundant number, since it is smaller than the sum of its proper divisors (24962017389190).

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

22310411014010 is a wasteful number, since it uses less digits than its factorization.

22310411014010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142165 (or 142151 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 22310411014010 its reverse (1041011401322), we get a palindrome (23351422415332).

The spelling of 22310411014010 in words is "twenty-two trillion, three hundred ten billion, four hundred eleven million, fourteen thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 197 233 245 343 394 466 490 686 985 1165 1379 1631 1715 1970 2330 2758 3262 3430 6895 8155 9653 11417 13790 16310 19306 22834 45901 48265 57085 67571 79919 91802 96530 114170 135142 141707 159838 229505 283414 321307 337855 399595 459010 642614 675710 708535 799190 991949 1417070 1606535 1983898 2249149 3213070 4498298 4959745 6943643 9919490 11245745 13887286 15744043 22491490 27916279 31488086 33017731 34718215 48605501 55832558 66035462 69436430 78720215 97211002 139581395 157440430 165088655 195413953 231124117 243027505 279162790 330177310 390827906 462248234 486055010 977069765 1155620585 1367897671 1617868819 1954139530 2311241170 2735795342 3235737638 6504493007 6839488355 8089344095 9575283697 11325081733 13008986014 13678976710 16178688190 19150567394 22650163466 32522465035 45531451049 47876418485 56625408665 65044930070 91062902098 95752836970 113250817330 227657255245 318720157343 455314510490 637440314686 1593600786715 2231041101401 3187201573430 4462082202802 11155205507005 22310411014010