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401002003112221 = 7231267836412389
BaseRepresentation
bin101101100101101011000110…
…1111100110010000100011101
31221120211102021001220012000101
41123023112031330302010131
5410030004100244042341
63540505435503101101
7150315303313564600
oct13313261574620435
91846742231805011
10401002003112221
11106853aa3724435
1238b84a5b5a1791
131429a4328103a4
147104859b1a337
153155eb066e831
hex16cb58df3211d

401002003112221 has 144 divisors (see below), whose sum is σ = 496072590874560. Its totient is φ = 323075721830400.

The previous prime is 401002003112201. The next prime is 401002003112279. The reversal of 401002003112221 is 122211300200104.

It is not a de Polignac number, because 401002003112221 - 25 = 401002003112189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401002003112201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167853495295 + ... + 167853497683.

It is an arithmetic number, because the mean of its divisors is an integer number (3444948547740).

Almost surely, 2401002003112221 is an apocalyptic number.

It is an amenable number.

401002003112221 is a deficient number, since it is larger than the sum of its proper divisors (95070587762339).

401002003112221 is a wasteful number, since it uses less digits than its factorization.

401002003112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 401002003112221 its reverse (122211300200104), we get a palindrome (523213303312325).

The spelling of 401002003112221 in words is "four hundred one trillion, two billion, three million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 7 31 49 67 83 217 469 581 641 961 1519 2077 2389 2573 3283 4067 4487 5561 6727 14539 16723 18011 19871 31409 38927 42947 47089 53203 64387 74059 79763 101773 117061 126077 139097 160063 172391 198287 272489 300629 372421 450709 518413 558341 616001 973679 1120441 1206737 1331357 1388009 1531349 1649293 2104403 2295829 2606947 3154963 3564601 3628891 3908387 4312007 4961953 5344121 6146897 7843087 8447159 9319499 9716063 10719443 11545051 13285229 16070803 24952207 30184049 34733671 37408847 41272067 43028279 47471819 51128083 65236493 75036101 80815357 92996603 102600383 110502631 112495621 127101967 153820543 174665449 190553807 243135697 261861929 288904469 301197953 332302733 357896581 411842099 650976221 718202681 773518417 889713769 1076743801 1333876649 1471626389 2022331283 2326119131 2505276067 2882894693 3180611873 3425581561 3940160977 5027418767 5414628919 6227996383 7537206607 8515831789 9337136543 10301384723 12767105069 20180262851 22264283111 23979070927 27581126839 59610822523 72109693061 89369735483 98598968063 122144990287 155849981777 167853496489 193067887873 263990785459 417275757661 625588148381 690192776441 855014932009 1847935498213 4831349435087 5985104524063 8183714349229 12935548487491 57286000444603 401002003112221