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13231331168 = 2511431316673
BaseRepresentation
bin11000101001010011…
…00001011101100000
31021011010002021011112
430110221201131200
5204044210044133
610024533202452
7645612313346
oct142451413540
937133067145
1013231331168
11567a817a40
122693190428
13132b2a8b53
148d7385996
155268e9648
hex314a61760

13231331168 has 96 divisors (see below), whose sum is σ = 29304519552. Its totient is φ = 5828659200.

The previous prime is 13231331153. The next prime is 13231331213. The reversal of 13231331168 is 86113313231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1979480 + ... + 1986152.

It is an arithmetic number, because the mean of its divisors is an integer number (305255412).

Almost surely, 213231331168 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 13231331168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14652259776).

13231331168 is an abundant number, since it is smaller than the sum of its proper divisors (16073188384).

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

13231331168 is a wasteful number, since it uses less digits than its factorization.

13231331168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6868 (or 6860 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

Adding to 13231331168 its reverse (86113313231), we get a palindrome (99344644399).

The spelling of 13231331168 in words is "thirteen billion, two hundred thirty-one million, three hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 131 172 176 262 344 352 473 524 688 946 1048 1376 1441 1892 2096 2882 3784 4192 5633 5764 6673 7568 11266 11528 13346 15136 22532 23056 26692 45064 46112 53384 61963 73403 90128 106768 123926 146806 180256 213536 247852 286939 293612 495704 573878 587224 874163 991408 1147756 1174448 1748326 1982816 2295512 2348896 3156329 3496652 4591024 6312658 6993304 9182048 9615793 12625316 13986608 19231586 25250632 27973216 37589009 38463172 50501264 75178018 76926344 101002528 150356036 153852688 300712072 307705376 413479099 601424144 826958198 1202848288 1653916396 3307832792 6615665584 13231331168