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211300102033212 = 223193150875876807
BaseRepresentation
bin110000000010110100100011…
…100001011100111100111100
31000201011002111102012120212210
4300002310203201130330330
5210143420102110030322
62025221532105100420
762335633335634443
oct6002644341347474
91021132442176783
10211300102033212
1161365963019625
121b847460787710
1390b968b6b78ca
143a26d9da9bd5a
151966601d5e70c
hexc02d2385cf3c

211300102033212 has 96 divisors (see below), whose sum is σ = 535829487943680. Its totient is φ = 64561180282560.

The previous prime is 211300102033201. The next prime is 211300102033213. The reversal of 211300102033212 is 212330201003112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211300102033213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33016513 + ... + 38893319.

It is an arithmetic number, because the mean of its divisors is an integer number (5581557166080).

Almost surely, 2211300102033212 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 211300102033212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267914743971840).

211300102033212 is an abundant number, since it is smaller than the sum of its proper divisors (324529385910468).

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

211300102033212 is a wasteful number, since it uses less digits than its factorization.

211300102033212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881951 (or 5881949 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211300102033212 its reverse (212330201003112), we get a palindrome (423630303036324).

The spelling of 211300102033212 in words is "two hundred eleven trillion, three hundred billion, one hundred two million, thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 3534 5087 7068 10174 15261 20348 30522 61044 96653 157697 193306 289959 315394 386612 473091 579918 630788 946182 1159836 1892364 2996243 5876807 5992486 8988729 11753614 11984972 17630421 17977458 23507228 35260842 35954916 70521684 111659333 182181017 223318666 334977999 364362034 446637332 546543051 669955998 728724068 1093086102 1339911996 2186172204 3461439323 6922878646 10384317969 13845757292 20768635938 29895317209 41537271876 59790634418 89685951627 119581268836 179371903254 358743806508 568011026971 926754833479 1136022053942 1704033080913 1853509666958 2272044107884 2780264500437 3408066161826 3707019333916 5560529000874 6816132323652 11121058001748 17608341836101 35216683672202 52825025508303 70433367344404 105650051016606 211300102033212