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21322131200032 = 2513312337096099
BaseRepresentation
bin1001101100100011100100…
…00011100101100000100000
32210111101010222120101222011
410312101302003211200200
510243320211041400112
6113203130222122304
74330321200551335
oct466216203454040
983441128511864
1021322131200032
116880735217393
122484456720394
13bb888c478bc0
14539dd4b7a98c
1526e986ba3aa7
hex1364720e5820

21322131200032 has 96 divisors (see below), whose sum is σ = 46865596377600. Its totient is φ = 9482657679360.

The previous prime is 21322131199987. The next prime is 21322131200093. The reversal of 21322131200032 is 23000213122312.

It is a super-2 number, since 2×213221312000322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21322131199976 and 21322131200012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543282 + ... + 6552817.

It is an arithmetic number, because the mean of its divisors is an integer number (488183295600).

Almost surely, 221322131200032 is an apocalyptic number.

It is an amenable number.

21322131200032 is an abundant number, since it is smaller than the sum of its proper divisors (25543465177568).

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

21322131200032 is a wasteful number, since it uses less digits than its factorization.

21322131200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096386 (or 7096378 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21322131200032 its reverse (23000213122312), we get a palindrome (44322344322344).

The spelling of 21322131200032 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 233 248 403 416 466 496 806 932 992 1612 1864 3029 3224 3728 6058 6448 7223 7456 12116 12896 14446 24232 28892 48464 57784 93899 96928 115568 187798 231136 375596 751192 1502384 3004768 7096099 14192198 28384396 56768792 92249287 113537584 184498574 219979069 227075168 368997148 439958138 737994296 879916276 1475988592 1653391067 1759832552 2859727897 2951977184 3306782134 3519665104 5719455794 6613564268 7039330208 11438911588 13227128536 21494083871 22877823176 26454257072 42988167742 45755646352 51255123077 52908514144 85976335484 91511292704 102510246154 171952670968 205020492308 343905341936 410040984616 666316600001 687810683872 820081969232 1332633200002 1640163938464 2665266400004 5330532800008 10661065600016 21322131200032