Search a number
-
+
211343034004112 = 24292632939958909
BaseRepresentation
bin110000000011011100100010…
…011101111011001010010000
31000201022012022102021200100002
4300003130202131323022100
5210200121013201112422
62025253352142145132
762342013254443403
oct6003344235731220
91021265272250302
10211343034004112
1161382093aa280a
121b8538425821a8
1390c0741022c9a
143a290b3803d3a
1519677b5e4d692
hexc0372277b290

211343034004112 has 80 divisors (see below), whose sum is σ = 425229346080000. Its totient is φ = 101634551112192.

The previous prime is 211343034004103. The next prime is 211343034004139. The reversal of 211343034004112 is 211400430343112.

It is a super-2 number, since 2×2113430340041122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3587589314 + ... + 3587648222.

It is an arithmetic number, because the mean of its divisors is an integer number (5315366826000).

Almost surely, 2211343034004112 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 211343034004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212614673040000).

211343034004112 is an abundant number, since it is smaller than the sum of its proper divisors (213886312075888).

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

211343034004112 is a wasteful number, since it uses less digits than its factorization.

211343034004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88608 (or 88602 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 211343034004112 its reverse (211400430343112), we get a palindrome (422743464347224).

The spelling of 211343034004112 in words is "two hundred eleven trillion, three hundred forty-three billion, thirty-four million, four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 263 464 526 1052 2104 4208 7627 15254 29399 30508 58798 58909 61016 117596 117818 122032 235192 235636 470384 471272 852571 942544 1705142 1708361 3410284 3416722 6820568 6833444 7731937 13641136 13666888 15463874 15493067 27333776 30927748 30986134 61855496 61972268 123710992 123944536 224226173 247889072 448452346 449298943 896904692 898597886 1731865691 1793809384 1797195772 3463731382 3587618768 3594391544 6927462764 7188783088 13854925528 27709851056 50224105039 100448210078 200896420156 401792840312 455480676733 803585680624 910961353466 1821922706932 3643845413864 7287690827728 13208939625257 26417879250514 52835758501028 105671517002056 211343034004112