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20112243140 = 22511738914071
BaseRepresentation
bin10010101110110010…
…000111100111000100
31220220122201210220002
4102232302013213010
5312142213240030
613123415100432
71311254150243
oct225662074704
956818653802
1020112243140
118590922a50
123a93671718
131b86a16cb2
14d8b18295a
157caa3d245
hex4aec879c4

20112243140 has 96 divisors (see below), whose sum is σ = 47234638080. Its totient is φ = 7131801600.

The previous prime is 20112243133. The next prime is 20112243157. The reversal of 20112243140 is 4134221102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422305 + ... + 1436375.

It is an arithmetic number, because the mean of its divisors is an integer number (492027480).

Almost surely, 220112243140 is an apocalyptic number.

20112243140 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 20112243140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617319040).

20112243140 is an abundant number, since it is smaller than the sum of its proper divisors (27122394940).

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

20112243140 is a wasteful number, since it uses less digits than its factorization.

20112243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253 (or 14251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20112243140 its reverse (4134221102), we get a palindrome (24246464242).

The spelling of 20112243140 in words is "twenty billion, one hundred twelve million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 89 110 146 178 220 292 356 365 445 730 803 890 979 1460 1606 1780 1958 3212 3916 4015 4895 6497 8030 9790 12994 14071 16060 19580 25988 28142 32485 56284 64970 70355 71467 129940 140710 142934 154781 281420 285868 309562 357335 619124 714670 773905 1027183 1252319 1429340 1547810 2054366 2504638 3095620 4108732 5009276 5135915 6261595 10271830 11299013 12523190 13775509 20543660 22598026 25046380 27551018 45196052 55102036 56495065 68877545 91419287 112990130 137755090 182838574 225980260 275510180 365677148 457096435 914192870 1005612157 1828385740 2011224314 4022448628 5028060785 10056121570 20112243140