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210101210112 = 2103311219911
BaseRepresentation
bin1100001110101100000…
…0100000110000000000
3202002022022111022210110
43003223000200300000
511420241402210422
6240304050031320
721115334551113
oct3035300406000
9662268438713
10210101210112
1181115723932
1234876578540
1316a73c84b91
14a25186c57a
1556ea17560c
hex30eb020c00

210101210112 has 88 divisors (see below), whose sum is σ = 561799510272. Its totient is φ = 69808230400.

The previous prime is 210101210063. The next prime is 210101210117. The reversal of 210101210112 is 211012101012.

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

It is not an unprimeable number, because it can be changed into a prime (210101210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845437 + ... + 1065347.

It is an arithmetic number, because the mean of its divisors is an integer number (6384085344).

Almost surely, 2210101210112 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 210101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280899755136).

210101210112 is an abundant number, since it is smaller than the sum of its proper divisors (351698300160).

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

210101210112 is a wasteful number, since it uses less digits than its factorization.

210101210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220245 (or 220227 counting only the distinct ones).

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

Adding to 210101210112 its reverse (211012101012), we get a palindrome (421113311124).

The spelling of 210101210112 in words is "two hundred ten billion, one hundred one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 311 384 512 622 768 933 1024 1244 1536 1866 2488 3072 3732 4976 7464 9952 14928 19904 29856 39808 59712 79616 119424 159232 219911 238848 318464 439822 477696 659733 879644 955392 1319466 1759288 2638932 3518576 5277864 7037152 10555728 14074304 21111456 28148608 42222912 56297216 68392321 84445824 112594432 136784642 168891648 205176963 225188864 273569284 337783296 410353926 547138568 675566592 820707852 1094277136 1641415704 2188554272 3282831408 4377108544 6565662816 8754217088 13131325632 17508434176 26262651264 35016868352 52525302528 70033736704 105050605056 210101210112