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21301450113344 = 262365729220163
BaseRepresentation
bin1001101011111101000010…
…10111100000000101000000
32210102101202200110100102112
410311332201113200011000
510243000332212111334
6113145430122434452
74325656535325062
oct465764127400500
983371680410375
1021301450113344
116872992296905
122480444662a28
13bb69449547bb
14538dd2241732
1526e17624e4ce
hex135fa15e0140

21301450113344 has 56 divisors (see below), whose sum is σ = 44108765386560. Its totient is φ = 10187448786944.

The previous prime is 21301450113343. The next prime is 21301450113389. The reversal of 21301450113344 is 44331105410312.

It is a super-2 number, since 2×213014501133442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 21301450113344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301450113343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96643007 + ... + 96863169.

It is an arithmetic number, because the mean of its divisors is an integer number (787656524760).

Almost surely, 221301450113344 is an apocalyptic number.

It is an amenable number.

21301450113344 is an abundant number, since it is smaller than the sum of its proper divisors (22807315273216).

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

21301450113344 is a wasteful number, since it uses less digits than its factorization.

21301450113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285927 (or 285917 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 21301450113344 its reverse (44331105410312), we get a palindrome (65632555523656).

The spelling of 21301450113344 in words is "twenty-one trillion, three hundred one billion, four hundred fifty million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 65729 131458 220163 262916 440326 525832 880652 1051664 1511767 1761304 2103328 3023534 3522608 4206656 5063749 6047068 7045216 10127498 12094136 14090432 20254996 24188272 40509992 48376544 81019984 96753088 162039968 324079936 14471093827 28942187654 57884375308 115768750616 231537501232 332835158021 463075002464 665670316042 926150004928 1331340632084 2662681264168 5325362528336 10650725056672 21301450113344