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21310421233101 = 3711137199948977
BaseRepresentation
bin1001101100001101110000…
…00101100110110111001101
32210110020220220012110012020
410312012320011212313031
510243122220313424401
6113153512233000353
74326425050513140
oct466067005466715
983406826173166
1021310421233101
116876776251970
122482128b530b9
13bb77444326a0
1453960389a057
1526e4edb23d36
hex1361b8166dcd

21310421233101 has 64 divisors (see below), whose sum is σ = 38687450812416. Its totient is φ = 10074856780800.

The previous prime is 21310421233069. The next prime is 21310421233133. The reversal of 21310421233101 is 10133212401312.

It is an interprime number because it is at equal distance from previous prime (21310421233069) and next prime (21310421233133).

It is not a de Polignac number, because 21310421233101 - 25 = 21310421233069 is a prime.

It is a super-3 number, since 3×213104212331013 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21310421233001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49761276 + ... + 50187701.

It is an arithmetic number, because the mean of its divisors is an integer number (604491418944).

Almost surely, 221310421233101 is an apocalyptic number.

21310421233101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21310421233101 is a deficient number, since it is larger than the sum of its proper divisors (17377029579315).

21310421233101 is a wasteful number, since it uses less digits than its factorization.

21310421233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99949082.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21310421233101 its reverse (10133212401312), we get a palindrome (31443633634413).

The spelling of 21310421233101 in words is "twenty-one trillion, three hundred ten billion, four hundred twenty-one million, two hundred thirty-three thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 39 71 77 91 143 213 231 273 429 497 781 923 1001 1491 2343 2769 3003 5467 6461 10153 16401 19383 30459 71071 213213 99948977 299846931 699642839 1099438747 1299336701 2098928517 3298316241 3898010103 7096377367 7696071229 9095356907 14292703711 21289132101 23088213687 27286070721 42878111133 49674641569 78060151037 92252905771 100048925977 149023924707 234180453111 276758717313 300146777931 546421057259 645770340397 1014781963481 1639263171777 1937311021191 3044345890443 7103473744367 21310421233101