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212001011012 = 227193131273157
BaseRepresentation
bin1100010101110000111…
…1101011010101000100
3202021012201022012200202
43011130033223111010
511433134224323022
6241220353230032
721213403601210
oct3053417532504
9667181265622
10212001011012
1181a0005341a
1235106862318
1316cb7748c1b
14a391cc3940
1557abd44592
hex315c3eb544

212001011012 has 48 divisors (see below), whose sum is σ = 447744205440. Its totient is φ = 85800529152.

The previous prime is 212001010999. The next prime is 212001011111. The reversal of 212001011012 is 210110100212.

212001011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120010110122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212001010984 and 212001011002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470063 + ... + 803094.

It is an arithmetic number, because the mean of its divisors is an integer number (9328004280).

Almost surely, 2212001011012 is an apocalyptic number.

It is an amenable number.

212001011012 is an abundant number, since it is smaller than the sum of its proper divisors (235743194428).

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

212001011012 is a wasteful number, since it uses less digits than its factorization.

212001011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273500 (or 1273498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212001011012 its reverse (210110100212), we get a palindrome (422111111224).

The spelling of 212001011012 in words is "two hundred twelve billion, one million, eleven thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 313 532 626 1252 2191 4382 5947 8764 11894 23788 41629 83258 166516 1273157 2546314 5092628 8912099 17824198 24189983 35648396 48379966 96759932 169329881 338659762 398498141 677319524 796996282 1593992564 2789486987 5578973974 7571464679 11157947948 15142929358 30285858716 53000252753 106000505506 212001011012