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13104102431024 = 24111632557178639
BaseRepresentation
bin1011111010110000100101…
…0111101101100100110000
31201101201222102120221220222
42332230021113231210300
53204144200210243044
643511535212552212
72521511605562243
oct276541127554460
951351872527828
1013104102431024
1141a2467220a60
1215777b5482668
137409333a1727
14334355c6125a
1517ad03b2b8ee
hexbeb095ed930

13104102431024 has 80 divisors (see below), whose sum is σ = 27878284008960. Its totient is φ = 5917519514880.

The previous prime is 13104102430999. The next prime is 13104102431087. The reversal of 13104102431024 is 42013420140131.

It is a junction number, because it is equal to n+sod(n) for n = 13104102430984 and 13104102431002.

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 15 ways as a sum of consecutive naturals, for example, 73265897 + ... + 73444535.

It is an arithmetic number, because the mean of its divisors is an integer number (348478550112).

Almost surely, 213104102431024 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 13104102431024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939142004480).

13104102431024 is an abundant number, since it is smaller than the sum of its proper divisors (14774181577936).

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

13104102431024 is a wasteful number, since it uses less digits than its factorization.

13104102431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181378 (or 181372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13104102431024 its reverse (42013420140131), we get a palindrome (55117522571155).

The spelling of 13104102431024 in words is "thirteen trillion, one hundred four billion, one hundred two million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 163 176 326 652 1304 1793 2557 2608 3586 5114 7172 10228 14344 20456 28127 28688 40912 56254 112508 178639 225016 357278 416791 450032 714556 833582 1429112 1667164 1965029 2858224 3334328 3930058 4584701 6668656 7860116 9169402 15720232 18338804 29118157 31440464 36677608 58236314 73355216 116472628 232945256 320299727 456779923 465890512 640599454 913559846 1281198908 1827119692 2562397816 3654239384 5024579153 5124795632 7308478768 10049158306 20098316612 40196633224 74455127449 80393266448 148910254898 297820509796 595641019592 819006401939 1191282039184 1638012803878 3276025607756 6552051215512 13104102431024