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2114002033022 = 2112171078275807
BaseRepresentation
bin11110110000110100010…
…101110001100101111110
321111002121102210011120102
4132300310111301211332
5234113434010024042
64255054212121102
7305505640540205
oct36606425614576
97432542704512
102114002033022
117455a8043600
122a185b006192
13124470c15149
147446539623c
1539ecb5ecb32
hex1ec3457197e

2114002033022 has 96 divisors (see below), whose sum is σ = 3730148319744. Its totient is φ = 894696239360.

The previous prime is 2114002033021. The next prime is 2114002033057. The reversal of 2114002033022 is 2203302004112.

It is a super-2 number, since 2×21140020330222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2114002032985 and 2114002033003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114002033021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364040843 + ... + 364046649.

It is an arithmetic number, because the mean of its divisors is an integer number (38855711664).

Almost surely, 22114002033022 is an apocalyptic number.

2114002033022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2114002033022 is a deficient number, since it is larger than the sum of its proper divisors (1616146286722).

2114002033022 is a wasteful number, since it uses less digits than its factorization.

2114002033022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2114002033022 its reverse (2203302004112), we get a palindrome (4317304037134).

It can be divided in two parts, 211400 and 2033022, that added together give a palindrome (2244422).

The spelling of 2114002033022 in words is "two trillion, one hundred fourteen billion, two million, thirty-three thousand, twenty-two".

Divisors: 1 2 11 17 22 34 107 121 187 214 242 374 827 1177 1654 1819 2057 2354 3638 4114 5807 9097 11614 12947 14059 18194 20009 25894 28118 40018 63877 88489 98719 100067 127754 154649 176978 197438 200134 220099 309298 440198 621349 702647 973379 1085909 1242698 1405294 1504313 1701139 1946758 2171818 3008626 3402278 4802389 6834839 9604778 10562933 10707169 11944999 13669678 16547443 21125866 21414338 23889998 33094886 52826279 75183229 81640613 105652558 116192263 150366458 163281226 182021873 232384526 364043746 513855623 581089069 898046743 1027711246 1162178138 1278114893 1796093486 2556229786 5652411853 8735545591 9878514173 11304823706 17471091182 19757028346 62176530383 96091001501 124353060766 192182003002 1057001016511 2114002033022