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2042211311420 = 2257971223122963
BaseRepresentation
bin11101101101111101010…
…001111001111100111100
321020020022012212122110112
4131231331101321330330
5231424422043431140
64202102351525152
7300354620505650
oct35557521717474
97206265778415
102042211311420
11718108054925
1228b9645297b8
1311a76c7a8a17
1470bb4a00a60
15381c8bb7c65
hex1db7d479f3c

2042211311420 has 96 divisors (see below), whose sum is σ = 4955925316608. Its totient is φ = 692396070912.

The previous prime is 2042211311297. The next prime is 2042211311447. The reversal of 2042211311420 is 241131122402.

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, 16546859 + ... + 16669821.

It is an arithmetic number, because the mean of its divisors is an integer number (51624222048).

Almost surely, 22042211311420 is an apocalyptic number.

2042211311420 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 2042211311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477962658304).

2042211311420 is an abundant number, since it is smaller than the sum of its proper divisors (2913714005188).

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

2042211311420 is a wasteful number, since it uses less digits than its factorization.

2042211311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124299 (or 124297 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2042211311420 its reverse (241131122402), we get a palindrome (2283342433822).

The spelling of 2042211311420 in words is "two trillion, forty-two billion, two hundred eleven million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1223 1358 1940 2446 2716 3395 4892 6115 6790 8561 12230 13580 17122 24460 34244 42805 85610 118631 122963 171220 237262 245926 474524 491852 593155 614815 830417 860741 1186310 1229630 1660834 1721482 2372620 2459260 3321668 3442964 4152085 4303705 8304170 8607410 11927411 16608340 17214820 23854822 47709644 59637055 83491877 119274110 150383749 166983754 238548220 300767498 333967508 417459385 601534996 751918745 834918770 1052686243 1503837490 1669837540 2105372486 3007674980 4210744972 5263431215 10526862430 14587223653 21053724860 29174447306 58348894612 72936118265 102110565571 145872236530 204221131142 291744473060 408442262284 510552827855 1021105655710 2042211311420