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21210210112 = 2671319191677
BaseRepresentation
bin10011110000001110…
…100001111101000000
32000202011202022102111
4103300032201331000
5321414303210422
613424400225104
71350415545160
oct236016417500
960664668374
1021210210112
118aa4679873
12413b30b194
1320003354b0
141052d125a0
15842121a77
hex4f03a1f40

21210210112 has 112 divisors (see below), whose sum is σ = 54528557440. Its totient is φ = 7949187072.

The previous prime is 21210210103. The next prime is 21210210113. The reversal of 21210210112 is 21101201212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 21210210092 and 21210210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210210113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14818 + ... + 206494.

It is an arithmetic number, because the mean of its divisors is an integer number (486862120).

Almost surely, 221210210112 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 21210210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27264278720).

21210210112 is an abundant number, since it is smaller than the sum of its proper divisors (33318347328).

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

21210210112 is a wasteful number, since it uses less digits than its factorization.

21210210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191728 (or 191718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21210210112 its reverse (21101201212), we get a palindrome (42311411324).

The spelling of 21210210112 in words is "twenty-one billion, two hundred ten million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 988 1064 1216 1456 1729 1976 2128 2912 3458 3952 4256 5824 6916 7904 8512 13832 15808 27664 55328 110656 191677 383354 766708 1341739 1533416 2491801 2683478 3066832 3641863 4983602 5366956 6133664 7283726 9967204 10733912 12267328 14567452 17442607 19934408 21467824 25493041 29134904 34885214 39868816 42935648 47344219 50986082 58269808 69770428 79737632 85871296 94688438 101972164 116539616 139540856 159475264 189376876 203944328 233079232 279081712 331409533 378753752 407888656 558163424 662819066 757507504 815777312 1116326848 1325638132 1515015008 1631554624 2651276264 3030030016 5302552528 10605105056 21210210112