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4022012010401 = 711273621710463
BaseRepresentation
bin111010100001110010100…
…110001101111110100001
3112020111111221011200120122
4322201302212031332201
51011344040033313101
612315404203450025
7563403131003420
oct72416246157641
915214457150518
104022012010401
1113107a8a20900
1254b5ab826915
13232374294368
14dc9489292b7
156e94d6ac51b
hex3a87298dfa1

4022012010401 has 48 divisors (see below), whose sum is σ = 5122969807872. Its totient is φ = 3090310755840.

The previous prime is 4022012010383. The next prime is 4022012010403. The reversal of 4022012010401 is 1040102102204.

It is not a de Polignac number, because 4022012010401 - 210 = 4022012009377 is a prime.

It is a super-2 number, since 2×40220120104012 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4022012010401.

It is not an unprimeable number, because it can be changed into a prime (4022012010403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384398096 + ... + 384408558.

It is an arithmetic number, because the mean of its divisors is an integer number (106728537664).

Almost surely, 24022012010401 is an apocalyptic number.

It is an amenable number.

4022012010401 is a deficient number, since it is larger than the sum of its proper divisors (1100957797471).

4022012010401 is a wasteful number, since it uses less digits than its factorization.

4022012010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16782 (or 16771 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 4022012010401 its reverse (1040102102204), we get a palindrome (5062114112605).

The spelling of 4022012010401 in words is "four trillion, twenty-two billion, twelve million, ten thousand, four hundred one".

Divisors: 1 7 11 73 77 121 511 803 847 5621 6217 8833 10463 43519 61831 68387 73241 115093 453841 478709 752257 763799 805651 1266023 3176887 4992251 5265799 5346593 8401789 8862161 34945757 54914761 58812523 65048471 92419679 384403327 455339297 646937753 715533181 4748538383 5008732267 7870864991 33239768681 52233922213 55096054937 365637455491 574573144343 4022012010401