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11224431420 = 22354120272251
BaseRepresentation
bin10100111010000011…
…10011101100111100
31001222020202012021020
422131001303230330
5140441423301140
65053442304140
7545103043566
oct123501635474
931866665236
1011224431420
11483a998504
122213058050
13109b5870c7
14786a12336
1545a6226d0
hex29d073b3c

11224431420 has 96 divisors (see below), whose sum is σ = 32225147136. Its totient is φ = 2917440000.

The previous prime is 11224431397. The next prime is 11224431437. The reversal of 11224431420 is 2413442211.

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, 4985295 + ... + 4987545.

It is an arithmetic number, because the mean of its divisors is an integer number (335678616).

Almost surely, 211224431420 is an apocalyptic number.

11224431420 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 11224431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112573568).

11224431420 is an abundant number, since it is smaller than the sum of its proper divisors (21000715716).

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

11224431420 is a wasteful number, since it uses less digits than its factorization.

11224431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11224431420 its reverse (2413442211), we get a palindrome (13637873631).

The spelling of 11224431420 in words is "eleven billion, two hundred twenty-four million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2027 2251 2460 4054 4502 6081 6753 8108 9004 10135 11255 12162 13506 20270 22510 24324 27012 30405 33765 40540 45020 60810 67530 83107 92291 121620 135060 166214 184582 249321 276873 332428 369164 415535 461455 498642 553746 831070 922910 997284 1107492 1246605 1384365 1662140 1845820 2493210 2768730 4562777 4986420 5537460 9125554 13688331 18251108 22813885 27376662 45627770 54753324 68441655 91255540 136883310 187073857 273766620 374147714 561221571 748295428 935369285 1122443142 1870738570 2244886284 2806107855 3741477140 5612215710 11224431420