Search a number
-
+
12323554131164 = 22173741409292091
BaseRepresentation
bin1011001101010100110100…
…0100001111110011011100
31121122010020200020222011212
42303111031010033303130
53103402114324144124
642113210154003552
72411230105523243
oct263251504176334
947563220228155
1012323554131164
113a2143203a501
1214704794165b8
136b514c3362c3
1430866b05595a
1516586d39b40e
hexb354d10fcdc

12323554131164 has 96 divisors (see below), whose sum is σ = 24082798461120. Its totient is φ = 5491478937600.

The previous prime is 12323554131143. The next prime is 12323554131191. The reversal of 12323554131164 is 46113145532321.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 42044759 + ... + 42336849.

It is an arithmetic number, because the mean of its divisors is an integer number (250862483970).

Almost surely, 212323554131164 is an apocalyptic number.

It is an amenable number.

12323554131164 is a deficient number, since it is larger than the sum of its proper divisors (11759244329956).

12323554131164 is a wasteful number, since it uses less digits than its factorization.

12323554131164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292599 (or 292597 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

Adding to 12323554131164 its reverse (46113145532321), we get a palindrome (58436699663485).

The spelling of 12323554131164 in words is "twelve trillion, three hundred twenty-three billion, five hundred fifty-four million, one hundred thirty-one thousand, one hundred sixty-four".

Divisors: 1 2 4 17 34 37 41 68 74 82 148 164 409 629 697 818 1258 1394 1517 1636 2516 2788 3034 6068 6953 13906 15133 16769 25789 27812 30266 33538 51578 60532 67076 103156 257261 285073 292091 514522 570146 584182 620453 1029044 1140292 1168364 1240906 2481812 4965547 9931094 10547701 10807367 11975731 19862188 21095402 21614734 23951462 42190804 43229468 47902924 119465219 183725239 203587427 238930438 367450478 407174854 443102047 477860876 734900956 814349708 886204094 1772408188 2030908723 4061817446 4420213103 4898073979 7532734799 8123634892 8840426206 9796147958 15065469598 17680852412 19592295916 30130939196 75143622751 83267257643 150287245502 166534515286 181228737223 300574491004 333069030572 362457474446 724914948892 3080888532791 6161777065582 12323554131164