Search a number
-
+
13123322241304 = 23111671021874619
BaseRepresentation
bin1011111011111000001011…
…1101011110000100011000
31201110120120220001111002011
42332332002331132010120
53210003030443210204
643524434312115304
72523062105351452
oct276760275360430
951416526044064
1013123322241304
1141aa62a30a990
12157b47a095b34
137426a7241432
1433525a6972d2
1517b57b135304
hexbef82f5e118

13123322241304 has 64 divisors (see below), whose sum is σ = 27030375993600. Its totient is φ = 5923612790400.

The previous prime is 13123322241301. The next prime is 13123322241313. The reversal of 13123322241304 is 40314222332131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123322241301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14567307 + ... + 15441925.

It is an arithmetic number, because the mean of its divisors is an integer number (422349624900).

Almost surely, 213123322241304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123322241304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515187996800).

13123322241304 is an abundant number, since it is smaller than the sum of its proper divisors (13907053752296).

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

13123322241304 is a wasteful number, since it uses less digits than its factorization.

13123322241304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875824 (or 875820 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 13123322241304 its reverse (40314222332131), we get a palindrome (53437544573435).

The spelling of 13123322241304 in words is "thirteen trillion, one hundred twenty-three billion, three hundred twenty-two million, two hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 167 334 668 1021 1336 1837 2042 3674 4084 7348 8168 11231 14696 22462 44924 89848 170507 341014 682028 874619 1364056 1749238 1875577 3498476 3751154 6996952 7502308 9620809 15004616 19241618 38483236 76966472 146061373 292122746 584245492 892985999 1168490984 1606675103 1785971998 3213350206 3571943996 6426700412 7143887992 9822845989 12853400824 19645691978 39291383956 78582767912 149128661833 298257323666 596514647332 1193029294664 1640415280163 3280830560326 6561661120652 13123322241304