Search a number
-
+
102101020200201 = 31171101652966083
BaseRepresentation
bin10111001101110000111111…
…000010100100110100001001
3111101111202120122111021002010
4113031300333002210310021
5101340310342132401301
61001052321113130133
730335361314161401
oct2715607702446411
9441452518437063
10102101020200201
112a594888153620
12b54ba410b9949
1344c811467a4b9
141b2da0400b801
15bc0d363585d6
hex5cdc3f0a4d09

102101020200201 has 64 divisors (see below), whose sum is σ = 152118981642240. Its totient is φ = 60393661440000.

The previous prime is 102101020200197. The next prime is 102101020200227. The reversal of 102101020200201 is 102002020101201.

It is not a de Polignac number, because 102101020200201 - 22 = 102101020200197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101020200241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1545009106 + ... + 1545075188.

It is an arithmetic number, because the mean of its divisors is an integer number (2376859088160).

Almost surely, 2102101020200201 is an apocalyptic number.

102101020200201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101020200201 is a deficient number, since it is larger than the sum of its proper divisors (50017961442039).

102101020200201 is a wasteful number, since it uses less digits than its factorization.

102101020200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72798.

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

Adding to 102101020200201 its reverse (102002020101201), we get a palindrome (204103040301402).

The spelling of 102101020200201 in words is "one hundred two trillion, one hundred one billion, twenty million, two hundred thousand, two hundred one".

Divisors: 1 3 11 33 71 101 213 303 781 1111 2343 3333 6529 7171 19587 21513 66083 71819 78881 198249 215457 236643 463559 659429 726913 1390677 1978287 2180739 4691893 5099149 6674383 7253719 14075679 15297447 20023149 21761157 46819459 51610823 73418213 140458377 154832469 220254639 431455907 473881193 515014049 1294367721 1421643579 1545042147 4746014977 5212693123 14238044931 15638079369 30633369397 43577046607 91900108191 130731139821 336967063367 479347512677 1010901190101 1438042538031 3093970309097 9281910927291 34033673400067 102101020200201