Search a number
-
+
211113100321112 = 231123241110609641
BaseRepresentation
bin110000000000000110011001…
…010110100010000101011000
31000200111012210221111100021202
4300000012121112202011120
5210132334112140233422
62025000004105253332
762316263300414513
oct6000063126420530
91020435727440252
10211113100321112
11612a3621473520
121b817172194248
1390a4b592bb062
143a1bd0001bd7a
151961809aeeb92
hexc001995a2158

211113100321112 has 96 divisors (see below), whose sum is σ = 462423518116560. Its totient is φ = 89549564544000.

The previous prime is 211113100321111. The next prime is 211113100321187. The reversal of 211113100321112 is 211123001311112.

It is a super-2 number, since 2×2111131003211122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211113100321111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53396189 + ... + 57213452.

Almost surely, 2211113100321112 is an apocalyptic number.

211113100321112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211113100321112 is an abundant number, since it is smaller than the sum of its proper divisors (251310417795448).

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

211113100321112 is a wasteful number, since it uses less digits than its factorization.

211113100321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110609745 (or 110609718 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 211113100321112 its reverse (211123001311112), we get a palindrome (422236101632224).

The spelling of 211113100321112 in words is "two hundred eleven trillion, one hundred thirteen billion, one hundred million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 23 41 44 46 82 88 92 164 184 253 328 451 506 529 902 943 1012 1058 1804 1886 2024 2116 3608 3772 4232 5819 7544 10373 11638 20746 21689 23276 41492 43378 46552 82984 86756 173512 238579 477158 954316 1908632 110609641 221219282 442438564 884877128 1216706051 2433412102 2544021743 4534995281 4866824204 5088043486 9069990562 9733648408 10176086972 18139981124 20352173944 27984239173 36279962248 49884948091 55968478346 58512500089 99769896182 104304891463 111936956692 117025000178 199539792364 208609782926 223873913384 234050000356 399079584728 417219565852 468100000712 643637500979 834439131704 1147353806093 1287275001958 2294707612186 2399012503649 2574550003916 4589415224372 4798025007298 5149100007832 9178830448744 9596050014596 19192100029192 26389137540139 52778275080278 105556550160556 211113100321112