Search a number
-
+
21302202133120 = 275231447160471
BaseRepresentation
bin1001101011111110011100…
…01100001110101010000000
32210102110201002111220121211
410311333032030032222000
510243003402221224440
6113150032505055504
74326014266355416
oct465771614165200
983373632456554
1021302202133120
116873238836457
122480614487594
13bb6a346a870c
1453906407b2b6
1526e1bc299eea
hex135fce30ea80

21302202133120 has 64 divisors (see below), whose sum is σ = 53139732531840. Its totient is φ = 8150407767040.

The previous prime is 21302202133117. The next prime is 21302202133133. The reversal of 21302202133120 is 2133120220312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21302202133091 and 21302202133100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723565516 + ... + 723594955.

It is an arithmetic number, because the mean of its divisors is an integer number (830308320810).

Almost surely, 221302202133120 is an apocalyptic number.

21302202133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21302202133120 is an abundant number, since it is smaller than the sum of its proper divisors (31837530398720).

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

21302202133120 is a wasteful number, since it uses less digits than its factorization.

21302202133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447160513 (or 1447160501 counting only the distinct ones).

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

Adding to 21302202133120 its reverse (2133120220312), we get a palindrome (23435322353432).

The spelling of 21302202133120 in words is "twenty-one trillion, three hundred two billion, two hundred two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 1447160471 2894320942 5788641884 7235802355 11577283768 14471604710 23154567536 28943209420 33284690833 46309135072 57886418840 66569381666 92618270144 115772837680 133138763332 166423454165 185236540288 231545675360 266277526664 332846908330 463091350720 532555053328 665693816660 926182701440 1065110106656 1331387633320 2130220213312 2662775266640 4260440426624 5325550533280 10651101066560 21302202133120