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131223110320 = 24543257148429
BaseRepresentation
bin111101000110110000…
…0011100001010110000
3110112201011102200120001
41322031200130022300
54122221104012240
6140141050355344
712323555014441
oct1721540341260
9415634380501
10131223110320
1150719030005
122152242bb54
13c4b33cb053
1464cbad32c8
15363041689a
hex1e8d81c2b0

131223110320 has 80 divisors (see below), whose sum is σ = 313405788960. Its totient is φ = 51068731392.

The previous prime is 131223110311. The next prime is 131223110351. The reversal of 131223110320 is 23011322131.

It is a tau number, because it is divible by the number of its divisors (80).

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, 809866 + ... + 958294.

It is an arithmetic number, because the mean of its divisors is an integer number (3917572362).

Almost surely, 2131223110320 is an apocalyptic number.

131223110320 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 131223110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156702894480).

131223110320 is an abundant number, since it is smaller than the sum of its proper divisors (182182678640).

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

131223110320 is a wasteful number, since it uses less digits than its factorization.

131223110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148742 (or 148736 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131223110320 its reverse (23011322131), we get a palindrome (154234432451).

The spelling of 131223110320 in words is "one hundred thirty-one billion, two hundred twenty-three million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 257 344 430 514 688 860 1028 1285 1720 2056 2570 3440 4112 5140 10280 11051 20560 22102 44204 55255 88408 110510 148429 176816 221020 296858 442040 593716 742145 884080 1187432 1484290 2374864 2968580 5937160 6382447 11874320 12764894 25529788 31912235 38146253 51059576 63824470 76292506 102119152 127648940 152585012 190731265 255297880 305170024 381462530 510595760 610340048 762925060 1525850120 1640288879 3051700240 3280577758 6561155516 8201444395 13122311032 16402888790 26244622064 32805777580 65611555160 131223110320