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2100332201212 = 227315951797919
BaseRepresentation
bin11110100100000101100…
…011100000010011111100
321102210022202120202121101
4132210011203200103330
5233402440020414322
64244513532142444
7304513122100150
oct36440543402374
97383282522541
102100332201212
1173a822854643
1229b085007a24
131230a2b3777b
1473929aa7060
153997b487327
hex1e9058e04fc

2100332201212 has 96 divisors (see below), whose sum is σ = 4411072512000. Its totient is φ = 856067555520.

The previous prime is 2100332201189. The next prime is 2100332201213. The reversal of 2100332201212 is 2121022330012.

It is a super-2 number, since 2×21003322012122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2100332201212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100332201213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 265222989 + ... + 265230907.

It is an arithmetic number, because the mean of its divisors is an integer number (45948672000).

Almost surely, 22100332201212 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 2100332201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205536256000).

2100332201212 is an abundant number, since it is smaller than the sum of its proper divisors (2310740310788).

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

2100332201212 is a wasteful number, since it uses less digits than its factorization.

2100332201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13199 (or 13197 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2100332201212 its reverse (2121022330012), we get a palindrome (4221354531224).

The spelling of 2100332201212 in words is "two trillion, one hundred billion, three hundred thirty-two million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 31 59 62 118 124 217 236 413 434 826 868 1652 1829 3658 5179 7316 7919 10358 12803 15838 20716 25606 31676 36253 51212 55433 72506 110866 145012 160549 221732 245489 305561 321098 467221 490978 611122 642196 934442 981956 1123843 1222244 1718423 1868884 2138927 2247686 3270547 3436846 4277854 4495372 6541094 6873692 8555708 9472391 13082188 14483851 18944782 28967702 37889564 41012501 57935404 66306737 82025002 101386957 132613474 164050004 202773914 265226948 287087507 405547828 574175014 1148350028 1271387531 2419737559 2542775062 4839475118 5085550124 8899712717 9678950236 16938162913 17799425434 33876325826 35598850868 67752651652 75011864329 150023728658 300047457316 525083050303 1050166100606 2100332201212