Search a number
-
+
13241256561621 = 32112329463433099
BaseRepresentation
bin1100000010101111100001…
…1001001100101111010101
31201212211222221021200202200
43000223320121030233111
53213421043134432441
644054541013555113
72534435452501224
oct300537031145725
951784887250680
1013241256561621
114245649148310
12159a2b2045a99
1375085049621a
1433ac47528cbb
1517e67eaa27b6
hexc0af864cbd5

13241256561621 has 96 divisors (see below), whose sum is σ = 22571647488000. Its totient is φ = 7395373560960.

The previous prime is 13241256561619. The next prime is 13241256561677. The reversal of 13241256561621 is 12616565214231.

13241256561621 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 2 + 5 + 6 + 5 + 616 + 21 = 666.

13241256561621 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13241256561621 - 21 = 13241256561619 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241256560621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30356730 + ... + 30789828.

It is an arithmetic number, because the mean of its divisors is an integer number (235121328000).

Almost surely, 213241256561621 is an apocalyptic number.

13241256561621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13241256561621 is a deficient number, since it is larger than the sum of its proper divisors (9330390926379).

13241256561621 is a wasteful number, since it uses less digits than its factorization.

13241256561621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433631 (or 433628 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 13241256561621 in words is "thirteen trillion, two hundred forty-one billion, two hundred fifty-six million, five hundred sixty-one thousand, six hundred twenty-one".

Divisors: 1 3 9 11 23 29 33 69 87 99 207 253 261 319 463 667 759 957 1389 2001 2277 2871 4167 5093 6003 7337 10649 13427 15279 22011 31947 40281 45837 66033 95841 117139 120843 147697 308821 351417 433099 443091 926463 1054251 1299297 1329273 2779389 3397031 3897891 4764089 9961277 10191093 12559871 14292267 29883831 30573279 37679613 42876801 89651493 109574047 113038839 138158581 200524837 288877033 328722141 414475743 601574511 866631099 986166423 1243427229 1804723533 2205773207 2599893297 3177647363 4612071251 5815220273 6617319621 9532942089 13836213753 17445660819 19851958863 28598826267 41508641259 50732783761 52336982457 63967423003 133750066279 152198351283 191902269009 401250198837 456595053849 575706807027 1203750596511 1471250729069 4413752187207 13241256561621