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2042200241420 = 2252913146515779
BaseRepresentation
bin11101101101111100100…
…111101011010100001100
321020020021110001020021112
4131231330213223110030
5231424411230211140
64202101314351152
7300354424431623
oct35557447532414
97206243036245
102042200241420
11718101883869
1228b96088b4b8
1311a76a401121
1470bb335c6ba
15381c7c2cc65
hex1db7c9eb50c

2042200241420 has 96 divisors (see below), whose sum is σ = 4472105299200. Its totient is φ = 782387424000.

The previous prime is 2042200241401. The next prime is 2042200241423. The reversal of 2042200241420 is 241420022402.

It is not an unprimeable number, because it can be changed into a prime (2042200241423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353380091 + ... + 353385869.

It is an arithmetic number, because the mean of its divisors is an integer number (46584430200).

Almost surely, 22042200241420 is an apocalyptic number.

2042200241420 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 2042200241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236052649600).

2042200241420 is an abundant number, since it is smaller than the sum of its proper divisors (2429905057780).

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

2042200241420 is a wasteful number, since it uses less digits than its factorization.

2042200241420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10599 (or 10597 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 2042200241420 its reverse (241420022402), we get a palindrome (2283620263822).

The spelling of 2042200241420 in words is "two trillion, forty-two billion, two hundred million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 131 145 262 290 524 580 655 1310 2620 3799 4651 5779 7598 9302 11558 15196 18604 18995 23116 23255 28895 37990 46510 57790 75980 93020 115580 134879 167591 269758 335182 539516 609281 670364 674395 757049 837955 1218562 1348790 1514098 1675910 2437124 2697580 3028196 3046405 3351820 3785245 6092810 7570490 12185620 15140980 17669149 21954421 26878129 35338298 43908842 53756258 70676596 87817684 88345745 107512516 109772105 134390645 176691490 219544210 268781290 353382980 439088420 537562580 779465741 1558931482 3117862964 3521034899 3897328705 7042069798 7794657410 14084139596 15589314820 17605174495 35210348990 70420697980 102110012071 204220024142 408440048284 510550060355 1021100120710 2042200241420