Search a number
-
+
13104331315890 = 23583103213123977
BaseRepresentation
bin1011111010110001011100…
…0000110101101010110010
31201101202120101021111221020
42332230113000311222302
53204200132304102030
643512014030440310
72521520355222123
oct276542700655262
951352511244836
1013104331315890
1141a2574442601
12157785a063096
1374096b930269
1433437840204a
1517ad18c8e510
hexbeb17035ab2

13104331315890 has 128 divisors (see below), whose sum is σ = 32154760415232. Its totient is φ = 3417120898560.

The previous prime is 13104331315849. The next prime is 13104331315891. The reversal of 13104331315890 is 9851313340131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13104331315891) 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 63 ways as a sum of consecutive naturals, for example, 546525582 + ... + 546549558.

It is an arithmetic number, because the mean of its divisors is an integer number (251209065744).

Almost surely, 213104331315890 is an apocalyptic number.

13104331315890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13104331315890 is an abundant number, since it is smaller than the sum of its proper divisors (19050429099342).

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

13104331315890 is a wasteful number, since it uses less digits than its factorization.

13104331315890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26304.

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 13104331315890 in words is "thirteen trillion, one hundred four billion, three hundred thirty-one million, three hundred fifteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 83 103 166 206 249 309 415 498 515 618 830 1030 1245 1545 2131 2490 3090 4262 6393 8549 10655 12786 17098 21310 23977 25647 31965 42745 47954 51294 63930 71931 85490 119885 128235 143862 176873 219493 239770 256470 353746 359655 438986 530619 658479 719310 884365 1061238 1097465 1316958 1768730 1990091 2194930 2469631 2653095 3292395 3980182 4939262 5306190 5970273 6584790 7408893 9950455 11940546 12348155 14817786 18217919 19900910 24696310 29851365 36435838 37044465 51094987 54653757 59702730 74088930 91089595 102189974 109307514 153284961 182179190 204979373 255474935 273268785 306569922 409958746 510949870 546537570 614938119 766424805 1024896865 1229876238 1532849610 2049793730 3074690595 4240883921 5262783661 6149381190 8481767842 10525567322 12722651763 15788350983 21204419605 25445303526 26313918305 31576701966 42408839210 52627836610 63613258815 78941754915 127226517630 157883509830 436811043863 873622087726 1310433131589 2184055219315 2620866263178 4368110438630 6552165657945 13104331315890