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2100322230012 = 22323715491017959
BaseRepresentation
bin11110100100000100111…
…101011101111011111100
321102210022001211011200200
4132210010331131323330
5233402424442330022
64244512534323500
7304512641250456
oct36440475357374
97383261734620
102100322230012
1173a818164086
1229b0817b9590
131230a0a56056
147392862d2d6
153997a667bac
hex1e904f5defc

2100322230012 has 72 divisors (see below), whose sum is σ = 5456163804000. Its totient is φ = 680745161088.

The previous prime is 2100322229977. The next prime is 2100322230029.

2100322230012 is a `hidden beast` number, since 2 + 100 + 322 + 230 + 0 + 12 = 666.

2100322230012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21003222300122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1554289 + ... + 2572247.

Almost surely, 22100322230012 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 2100322230012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728081902000).

2100322230012 is an abundant number, since it is smaller than the sum of its proper divisors (3355841573988).

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

2100322230012 is a wasteful number, since it uses less digits than its factorization.

2100322230012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019555 (or 1019550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 2100322230012 in words is "two trillion, one hundred billion, three hundred twenty-two million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1549 3098 4647 6196 9294 13941 18588 27882 55764 57313 114626 171939 229252 343878 515817 687756 1017959 1031634 2035918 2063268 3053877 4071836 6107754 9161631 12215508 18323262 36646524 37664483 75328966 112993449 150657932 225986898 338980347 451973796 677960694 1355921388 1576818491 3153636982 4730455473 6307273964 9460910946 14191366419 18921821892 28382732838 56765465676 58342284167 116684568334 175026852501 233369136668 350053705002 525080557503 700107410004 1050161115006 2100322230012