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10210200114 = 2329312118971
BaseRepresentation
bin10011000001001001…
…10100101000110010
3222100120021220110210
421200210310220302
5131402302400424
64405052004550
7511006161162
oct114044645062
928316256423
1010210200114
11436a434514
121b8b460756
13c6940643a
146cc03c5a2
153eb57e729
hex260934a32

10210200114 has 64 divisors (see below), whose sum is σ = 21911777280. Its totient is φ = 3164616000.

The previous prime is 10210200113. The next prime is 10210200131. The reversal of 10210200114 is 41100201201.

It is a happy number.

It is a super-2 number, since 2×102102001142 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10210200114.

It is not an unprimeable number, because it can be changed into a prime (10210200113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133649 + ... + 1142619.

It is an arithmetic number, because the mean of its divisors is an integer number (342371520).

Almost surely, 210210200114 is an apocalyptic number.

10210200114 is an abundant number, since it is smaller than the sum of its proper divisors (11701577166).

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

10210200114 is a wasteful number, since it uses less digits than its factorization.

10210200114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210200114 its reverse (41100201201), we get a palindrome (51310401315).

The spelling of 10210200114 in words is "ten billion, two hundred ten million, two hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 29 31 58 62 87 93 174 186 211 422 633 899 1266 1798 2697 5394 6119 6541 8971 12238 13082 17942 18357 19623 26913 36714 39246 53826 189689 260159 278101 379378 520318 556202 569067 780477 834303 1138134 1560954 1668606 1892881 3785762 5678643 8064929 11357286 16129858 24194787 48389574 54893549 58679311 109787098 117358622 164680647 176037933 329361294 352075866 1701700019 3403400038 5105100057 10210200114