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200100011010201 = 321783107313470489
BaseRepresentation
bin101101011111110101101010…
…000100110110100010011001
3222020111101002210222202222100
4231133311222010312202121
5202211414310304311301
61545324402004314013
760101514545010651
oct5537655204664231
9866441083882870
10200100011010201
1158837a35689595
121a5388809a2909
138786472154c23
14375ac6c30d361
1518200d9251286
hexb5fd6a136899

200100011010201 has 96 divisors (see below), whose sum is σ = 313616529233280. Its totient is φ = 122488155758592.

The previous prime is 200100011010199. The next prime is 200100011010203. The reversal of 200100011010201 is 102010110001002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200100011010199) and next prime (200100011010203).

It is not a de Polignac number, because 200100011010201 - 21 = 200100011010199 is a prime.

It is a super-2 number, since 2×2001000110102012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (200100011010203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425066965 + ... + 425537453.

It is an arithmetic number, because the mean of its divisors is an integer number (3266838846180).

Almost surely, 2200100011010201 is an apocalyptic number.

It is an amenable number.

200100011010201 is a deficient number, since it is larger than the sum of its proper divisors (113516518223079).

200100011010201 is a wasteful number, since it uses less digits than its factorization.

200100011010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471015 (or 471012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200100011010201 its reverse (102010110001002), we get a palindrome (302110121011203).

The spelling of 200100011010201 in words is "two hundred trillion, one hundred billion, eleven million, ten thousand, two hundred one".

Divisors: 1 3 9 17 51 83 107 153 249 313 321 747 939 963 1411 1819 2817 4233 5321 5457 8881 12699 15963 16371 25979 26643 33491 47889 77937 79929 100473 150977 233811 301419 441643 452931 470489 569347 1324929 1358793 1411467 1708041 2779753 3974787 4234401 5124123 7998313 8339259 23994939 25017777 39050587 47255801 50342323 71984817 117151761 141767403 147263057 151026969 351455283 425302209 441789171 453080907 663859979 855819491 1325367513 1991579937 2503471969 2567458473 4178412809 5974739811 7510415907 7702375419 12222833731 12535238427 15757147099 22531247721 36668501193 37605715281 47271441297 71033017753 110005503579 141814323891 207788173427 213099053259 267871500683 623364520281 639297159777 803614502049 1307843209217 1870093560843 2410843506147 3923529627651 11770588882953 22233334556689 66700003670067 200100011010201