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2102201202012 = 2231744941575521
BaseRepresentation
bin11110100101110100111…
…101001011010101011100
321102222011000102211201020
4132211310331023111130
5233420302001431022
64245423215244140
7304610335250112
oct36456475132534
97388130384636
102102201202012
117405a18575aa
1229b506b19650
131233101065c2
1473a65dc1ab2
1539a3a5c035c
hex1e974f4b55c

2102201202012 has 96 divisors (see below), whose sum is σ = 5207435956800. Its totient is φ = 657767792640.

The previous prime is 2102201201983. The next prime is 2102201202037. The reversal of 2102201202012 is 2102021022012.

It is a junction number, because it is equal to n+sod(n) for n = 2102201201982 and 2102201202000.

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, 380761812 + ... + 380767332.

It is an arithmetic number, because the mean of its divisors is an integer number (54244124550).

Almost surely, 22102201202012 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 2102201202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603717978400).

2102201202012 is an abundant number, since it is smaller than the sum of its proper divisors (3105234754788).

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

2102201202012 is a wasteful number, since it uses less digits than its factorization.

2102201202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10151 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2102201202012 its reverse (2102021022012), we get a palindrome (4204222224024).

It can be divided in two parts, 2102 and 201202012, that multiplied together give a palindrome (422926629224).

The spelling of 2102201202012 in words is "two trillion, one hundred two billion, two hundred one million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 449 898 1347 1796 2694 4157 5388 5521 7633 8314 11042 12471 15266 16563 16628 22084 22899 24942 30532 33126 45798 49884 66252 70669 91596 93857 141338 187714 212007 281571 282676 375428 424014 563142 848028 1126284 1866493 2478929 3732986 4957858 5599479 7436787 7465972 9915716 11198958 14873574 22397916 22950797 29747148 31730381 42141793 45901594 63460762 68852391 84283586 91803188 95191143 126425379 126921524 137704782 168567172 190382286 252850758 275409564 380764572 390163549 505701516 780327098 1170490647 1560654196 2340981294 4681962588 10304907853 20609815706 30914723559 41219631412 61829447118 123658894236 175183433501 350366867002 525550300503 700733734004 1051100601006 2102201202012