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1020212101212 = 2231929255760343
BaseRepresentation
bin11101101100010010110…
…00010100000001011100
310121112100100001112220020
432312021120110001130
5113203343244214322
62100402353552140
7133464543530553
oct16661130240134
93545310045806
101020212101212
11363740152777
12145882b75650
13752898a6845
1437542980d9a
151b810e2c05c
hexed8961405c

1020212101212 has 96 divisors (see below), whose sum is σ = 2593247193600. Its totient is φ = 310936050432.

The previous prime is 1020212101201. The next prime is 1020212101247. The reversal of 1020212101212 is 2121012120201.

It is a junction number, because it is equal to n+sod(n) for n = 1020212101191 and 1020212101200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16876713 + ... + 16937055.

It is an arithmetic number, because the mean of its divisors is an integer number (27012991600).

Almost surely, 21020212101212 is an apocalyptic number.

1020212101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020212101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296623596800).

1020212101212 is an abundant number, since it is smaller than the sum of its proper divisors (1573035092388).

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

1020212101212 is a wasteful number, since it uses less digits than its factorization.

1020212101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62955 (or 62953 counting only the distinct ones).

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

Adding to 1020212101212 its reverse (2121012120201), we get a palindrome (3141224221413).

The spelling of 1020212101212 in words is "one trillion, twenty billion, two hundred twelve million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 1102 1653 2204 2557 3306 5114 6612 7671 10228 15342 30684 48583 60343 74153 97166 120686 145749 148306 181029 194332 222459 241372 291498 296612 362058 444918 582996 724116 889836 1146517 1408907 1749947 2293034 2817814 3439551 3499894 4226721 4586068 5249841 5635628 6879102 6999788 8453442 10499682 13758204 16906884 20999364 33248993 66497986 99746979 132995972 154297051 199493958 308594102 398987916 462891153 617188204 925782306 1851564612 2931643969 4474614479 5863287938 8794931907 8949228958 11726575876 13423843437 17589863814 17898457916 26847686874 35179727628 53695373748 85017675101 170035350202 255053025303 340070700404 510106050606 1020212101212