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2232010102322 = 2721121397149269
BaseRepresentation
bin100000011110101110001…
…010110101011000110010
321220101012121210012211202
4200132232022311120302
5243032124041233242
64425212110411202
7320154201556400
oct40365612653062
97811177705752
102232010102322
11790654572700
123006b3800b02
1313262951bca0
147a05bd44470
153d0d6786932
hex207ae2b5632

2232010102322 has 144 divisors (see below), whose sum is σ = 4657730920920. Its totient is φ = 794440120320.

The previous prime is 2232010102303. The next prime is 2232010102331.

It is a happy number.

2232010102322 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1566204693361 + 665805408961 = 1251481^2 + 815969^2 .

It is a super-3 number, since 3×22320101023223 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232010102294 and 2232010102303.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14878304 + ... + 15027572.

Almost surely, 22232010102322 is an apocalyptic number.

2232010102322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2232010102322 is an abundant number, since it is smaller than the sum of its proper divisors (2425720818598).

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

2232010102322 is a wasteful number, since it uses less digits than its factorization.

2232010102322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149417 (or 149399 counting only the distinct ones).

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

It can be divided in two parts, 2232010 and 102322, that added together give a palindrome (2334332).

The spelling of 2232010102322 in words is "two trillion, two hundred thirty-two billion, ten million, one hundred two thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 97 98 121 143 154 182 194 242 286 539 637 679 847 1001 1067 1078 1261 1274 1358 1573 1694 2002 2134 2522 3146 4753 5929 7007 7469 8827 9506 11011 11737 11858 13871 14014 14938 17654 22022 23474 27742 52283 61789 77077 82159 97097 104566 123578 149269 152581 154154 164318 194194 298538 305162 575113 679679 1044883 1068067 1150226 1359358 1641959 1940497 2089766 2136134 3283918 3880994 7314181 7476469 11493713 13583479 14479093 14628362 14952938 18061549 21345467 22987426 27166958 28958186 36123098 42690934 80455991 95084353 101353651 126430843 149418269 159270023 160911982 188228209 190168706 202707302 234800137 252861686 298836538 318540046 376456418 469600274 709475557 885015901 1045927883 1114890161 1317597463 1418951114 1643600959 1751970253 1770031802 2070510299 2091855766 2229780322 2635194926 3287201918 3503940506 4141020598 7804231127 9223182241 11505206713 12263791771 14493572093 15608462254 18446364482 22775613289 23010413426 24527583542 28987144186 45551226578 85846542397 101455004651 159429293023 171693084794 202910009302 318858586046 1116005051161 2232010102322