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212011110012 = 223137188121727
BaseRepresentation
bin1100010101110011011…
…0001100111001111100
3202021020102022021220210
43011130312030321330
511433144321010022
6241221353512420
721213555462312
oct3053466147174
9667212267823
10212011110012
1181a058209a9
123510a112710
1316cb9873870
14a3933920b2
1557acb8ba0c
hex315cd8ce7c

212011110012 has 96 divisors (see below), whose sum is σ = 540887445504. Its totient is φ = 64239436800.

The previous prime is 212011109993. The next prime is 212011110029. The reversal of 212011110012 is 210011110212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 212011110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9747093 + ... + 9768819.

It is an arithmetic number, because the mean of its divisors is an integer number (5634244224).

Almost surely, 2212011110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270443722752).

212011110012 is an abundant number, since it is smaller than the sum of its proper divisors (328876335492).

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

212011110012 is a wasteful number, since it uses less digits than its factorization.

212011110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22699 (or 22697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212011110012 its reverse (210011110212), we get a palindrome (422022220224).

The spelling of 212011110012 in words is "two hundred twelve billion, eleven million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 881 923 1762 1846 2643 2769 3524 3692 5286 5538 10572 11076 11453 21727 22906 34359 43454 45812 62551 65181 68718 86908 125102 130362 137436 187653 250204 260724 282451 375306 564902 750612 813163 847353 1129804 1542617 1626326 1694706 2439489 3085234 3252652 3389412 4627851 4878978 6170468 9255702 9757956 18511404 19141487 20054021 38282974 40108042 57424461 60162063 76565948 80216084 114848922 120324126 229697844 240648252 248839331 497678662 746517993 995357324 1359045577 1493035986 2718091154 2986071972 4077136731 5436182308 8154273462 16308546924 17667592501 35335185002 53002777503 70670370004 106005555006 212011110012