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20112324320 = 2551161718521
BaseRepresentation
bin10010101110110010…
…011011011011100000
31220220122212221020202
4102232302123123200
5312142223334240
613123420524332
71311254636024
oct225662333340
956818787222
1020112324320
118590978a40
123a936b06a8
131b86a44c2a
14d8b1a4384
157caa57315
hex4aec9b6e0

20112324320 has 96 divisors (see below), whose sum is σ = 51921759456. Its totient is φ = 7301324800.

The previous prime is 20112324269. The next prime is 20112324343. The reversal of 20112324320 is 2342321102.

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 = 20112324292 and 20112324301.

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, 1076660 + ... + 1095180.

It is an arithmetic number, because the mean of its divisors is an integer number (540851661).

Almost surely, 220112324320 is an apocalyptic number.

20112324320 is a gapful number since it is divisible by the number (20) 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 20112324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25960879728).

20112324320 is an abundant number, since it is smaller than the sum of its proper divisors (31809435136).

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

20112324320 is a wasteful number, since it uses less digits than its factorization.

20112324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19164 (or 19156 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20112324320 its reverse (2342321102), we get a palindrome (22454645422).

The spelling of 20112324320 in words is "twenty billion, one hundred twelve million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 617 880 1234 1760 2468 3085 4936 6170 6787 9872 12340 13574 18521 19744 24680 27148 33935 37042 49360 54296 67870 74084 92605 98720 108592 135740 148168 185210 203731 217184 271480 296336 370420 407462 542960 592672 740840 814924 1018655 1085920 1481680 1629848 2037310 2963360 3259696 4074620 6519392 8149240 11427457 16298480 22854914 32596960 45709828 57137285 91419656 114274570 125702027 182839312 228549140 251404054 365678624 457098280 502808108 628510135 914196560 1005616216 1257020270 1828393120 2011232432 2514040540 4022464864 5028081080 10056162160 20112324320