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13103113023132 = 22311831367874891
BaseRepresentation
bin1011111010101100111001…
…1001011010111010011100
31201101122102110211211110020
42332223032121122322130
53204140133413220012
643511253110312140
72521445233005156
oct276531631327234
951348373754406
1013103113023132
1141a1aa9782190
12157757a058650
13740806402782
143342a06adad6
1517ac96d3da8c
hexbeace65ae9c

13103113023132 has 96 divisors (see below), whose sum is σ = 33779958073344. Its totient is φ = 3919927147200.

The previous prime is 13103113023113. The next prime is 13103113023137. The reversal of 13103113023132 is 23132031130131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103113023137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14539407 + ... + 15414297.

It is an arithmetic number, because the mean of its divisors is an integer number (351874563264).

Almost surely, 213103113023132 is an apocalyptic number.

13103113023132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103113023132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16889979036672).

13103113023132 is an abundant number, since it is smaller than the sum of its proper divisors (20676845050212).

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

13103113023132 is a wasteful number, since it uses less digits than its factorization.

13103113023132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876359 (or 876357 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13103113023132 its reverse (23132031130131), we get a palindrome (36235144153263).

The spelling of 13103113023132 in words is "thirteen trillion, one hundred three billion, one hundred thirteen million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1367 1826 2734 2739 3652 4101 5468 5478 8202 10956 15037 16404 30074 45111 60148 90222 113461 180444 226922 340383 453844 680766 874891 1248071 1361532 1749782 2496142 2624673 3499564 3744213 4992284 5249346 7488426 9623801 10498692 14976852 19247602 28871403 38495204 57742806 72615953 115485612 145231906 217847859 290463812 435695718 798775483 871391436 1195975997 1597550966 2391951994 2396326449 3195101932 3587927991 4783903988 4792652898 7175855982 9585305796 13155735967 14351711964 26311471934 39467207901 52622943868 78934415802 99266007751 157868831604 198532015502 297798023253 397064031004 595596046506 1091926085261 1191192093012 2183852170522 3275778255783 4367704341044 6551556511566 13103113023132