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12531111320 = 23571313924767
BaseRepresentation
bin10111010101110100…
…11001010110011000
31012100022111102010002
423222322121112120
5201130431030240
65431241112132
7622350455150
oct135272312630
935308442102
1012531111320
115350538452
122518788648
1312491c0690
1486c391760
154d51d1d15
hex2eae99598

12531111320 has 128 divisors (see below), whose sum is σ = 34952601600. Its totient is φ = 3937199616.

The previous prime is 12531111311. The next prime is 12531111343. The reversal of 12531111320 is 2311113521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12531111292 and 12531111301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493577 + ... + 518343.

It is an arithmetic number, because the mean of its divisors is an integer number (273067200).

Almost surely, 212531111320 is an apocalyptic number.

12531111320 is a gapful number since it is divisible by the number (10) 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 12531111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476300800).

12531111320 is an abundant number, since it is smaller than the sum of its proper divisors (22421490280).

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

12531111320 is a wasteful number, since it uses less digits than its factorization.

12531111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24937 (or 24933 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 12531111320 its reverse (2311113521), we get a palindrome (14842224841).

It can be divided in two parts, 125311 and 11320, that added together give a palindrome (136631).

The spelling of 12531111320 in words is "twelve billion, five hundred thirty-one million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 139 140 182 260 278 280 364 455 520 556 695 728 910 973 1112 1390 1807 1820 1946 2780 3614 3640 3892 4865 5560 7228 7784 9035 9730 12649 14456 18070 19460 24767 25298 36140 38920 49534 50596 63245 72280 99068 101192 123835 126490 173369 198136 247670 252980 321971 346738 495340 505960 643942 693476 866845 990680 1287884 1386952 1609855 1733690 2253797 2575768 3219710 3442613 3467380 4507594 6439420 6885226 6934760 9015188 11268985 12878840 13770452 17213065 18030376 22537970 24098291 27540904 34426130 44753969 45075940 48196582 68852260 89507938 90151880 96393164 120491455 137704520 179015876 192786328 223769845 240982910 313277783 358031752 447539690 481965820 626555566 895079380 963931640 1253111132 1566388915 1790158760 2506222264 3132777830 6265555660 12531111320