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212100212202112 = 2713301142332803
BaseRepresentation
bin110000001110011101101101…
…110011100001101010000000
31000210222120201110122111012001
4300032131231303201222000
5210300022213310431422
62031033254202513344
762450506661103553
oct6016355563415200
91023876643574161
10212100212202112
116164421638a8a3
121b956537b05854
139146c6c428480
143a539c290069a
15197c32eb64227
hexc0e76dce1a80

212100212202112 has 64 divisors (see below), whose sum is σ = 455197868163360. Its totient is φ = 97859891727360.

The previous prime is 212100212202103. The next prime is 212100212202113. The reversal of 212100212202112 is 211202212001212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 212100212202112.

It is not an unprimeable number, because it can be changed into a prime (212100212202113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16156098 + ... + 26176705.

Almost surely, 2212100212202112 is an apocalyptic number.

It is an amenable number.

212100212202112 is an abundant number, since it is smaller than the sum of its proper divisors (243097655961248).

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

212100212202112 is a wasteful number, since it uses less digits than its factorization.

212100212202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42335841 (or 42335829 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212100212202112 its reverse (211202212001212), we get a palindrome (423302424203324).

It can be divided in two parts, 212100 and 212202112, that added together give a palindrome (212414212).

The spelling of 212100212202112 in words is "two hundred twelve trillion, one hundred billion, two hundred twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 3011 6022 12044 24088 39143 48176 78286 96352 156572 192704 313144 385408 626288 1252576 2505152 5010304 42332803 84665606 169331212 338662424 550326439 677324848 1100652878 1354649696 2201305756 2709299392 4402611512 5418598784 8805223024 17610446048 35220892096 70441784192 127464069833 254928139666 509856279332 1019712558664 1657032907829 2039425117328 3314065815658 4078850234656 6628131631316 8157700469312 13256263262632 16315400938624 26512526525264 53025053050528 106050106101056 212100212202112