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102010211020212 = 2231119371099295347
BaseRepresentation
bin10111001100011100011010…
…011001000010110110110100
3111101012002011222222221200120
4113030130122121002312310
5101332313403010121322
61000542502145211540
730325665060655455
oct2714343231026664
9441162158887616
10102010211020212
112a55a3187a1640
12b536319330bb0
1344bc6a200cac1
141b2946b87512c
15bbd7bde3ea5c
hex5cc71a642db4

102010211020212 has 96 divisors (see below), whose sum is σ = 280716060065280. Its totient is φ = 28493735368320.

The previous prime is 102010211020187. The next prime is 102010211020213. The reversal of 102010211020212 is 212020112010201.

It is a junction number, because it is equal to n+sod(n) for n = 102010211020191 and 102010211020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010211020213) 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 31 ways as a sum of consecutive naturals, for example, 549554878 + ... + 549740469.

It is an arithmetic number, because the mean of its divisors is an integer number (2924125625680).

Almost surely, 2102010211020212 is an apocalyptic number.

102010211020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102010211020212 is an abundant number, since it is smaller than the sum of its proper divisors (178705849045068).

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

102010211020212 is a wasteful number, since it uses less digits than its factorization.

102010211020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099295421 (or 1099295419 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102010211020212 its reverse (212020112010201), we get a palindrome (314030323030413).

The spelling of 102010211020212 in words is "one hundred two trillion, ten billion, two hundred eleven million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 132 148 209 222 228 407 418 444 627 703 814 836 1221 1254 1406 1628 2109 2442 2508 2812 4218 4884 7733 8436 15466 23199 30932 46398 92796 1099295347 2198590694 3297886041 4397181388 6595772082 12092248817 13191544164 20886611593 24184497634 36276746451 40673927839 41773223186 48368995268 62659834779 72553492902 81347855678 83546446372 122021783517 125319669558 145106985804 162695711356 229752727523 244043567034 250639339116 447413206229 459505455046 488087134068 689258182569 772804628941 894826412458 919010910092 1342239618687 1378516365138 1545609257882 1789652824916 2318413886823 2684479237374 2757032730276 3091218515764 4636827773646 5368958474748 8500850918351 9273655547292 17001701836702 25502552755053 34003403673404 51005105510106 102010211020212