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21312004340340 = 22325767252452077
BaseRepresentation
bin1001101100010000101100…
…11100101011101001110100
32210110102000020002122001200
410312020112130223221310
510243133441102342330
6113154333304252500
74326512222635140
oct466102634535164
983412006078050
1021312004340340
11687740893585a
1224824ab171130
13bb793740242c
14539713c34220
1526e592ad7a60
hex13621672ba74

21312004340340 has 144 divisors (see below), whose sum is σ = 74984326015872. Its totient is φ = 4798609060608.

The previous prime is 21312004340327. The next prime is 21312004340369. The reversal of 21312004340340 is 4304340021312.

21312004340340 is a `hidden beast` number, since 2 + 1 + 312 + 0 + 0 + 4 + 3 + 4 + 0 + 340 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126141619 + ... + 126310458.

Almost surely, 221312004340340 is an apocalyptic number.

21312004340340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312004340340 is an abundant number, since it is smaller than the sum of its proper divisors (53672321675532).

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

21312004340340 is a wasteful number, since it uses less digits than its factorization.

21312004340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252452166 (or 252452161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21312004340340 its reverse (4304340021312), we get a palindrome (25616344361652).

The spelling of 21312004340340 in words is "twenty-one trillion, three hundred twelve billion, four million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 402 420 469 603 630 670 804 938 1005 1206 1260 1340 1407 1876 2010 2345 2412 2814 3015 4020 4221 4690 5628 6030 7035 8442 9380 12060 14070 16884 21105 28140 42210 84420 252452077 504904154 757356231 1009808308 1262260385 1514712462 1767164539 2272068693 2524520770 3029424924 3534329078 3786781155 4544137386 5049041540 5301493617 7068658156 7573562310 8835822695 9088274772 10602987234 11360343465 15147124620 15904480851 16914289159 17671645390 21205974468 22720686930 26507468085 31808961702 33828578318 35343290780 45441373860 50742867477 53014936170 63617923404 67657156636 79522404255 84571445795 101485734954 106029872340 118400024113 152228602431 159044808510 169142891590 202971469908 236800048226 253714337385 304457204862 318089617020 338285783180 355200072339 473600096452 507428674770 592000120565 608914409724 710400144678 761143012155 1014857349540 1065600217017 1184000241130 1420800289356 1522286024310 1776000361695 2131200434034 2368000482260 3044572048620 3552000723390 4262400868068 5328001085085 7104001446780 10656002170170 21312004340340