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21322124413044 = 2237131710061114161
BaseRepresentation
bin1001101100100011100011…
…01001101100100001110100
32210111101010111210120222020
410312101301221230201310
510243320202322204134
6113203125420433140
74330321056063240
oct466216151544164
983441114716866
1021322124413044
116880731401204
1224844543a87b0
13bb888ac40930
14539dd3cd1420
1526e9862b2b49
hex136471a6c874

21322124413044 has 192 divisors, whose sum is σ = 64841707187712. Its totient is φ = 5292055756800.

The previous prime is 21322124413043. The next prime is 21322124413067. The reversal of 21322124413044 is 44031442122312.

It is a junction number, because it is equal to n+sod(n) for n = 21322124412996 and 21322124413014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322124413043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186715324 + ... + 186829484.

It is an arithmetic number, because the mean of its divisors is an integer number (337717224936).

Almost surely, 221322124413044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21322124413044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32420853593856).

21322124413044 is an abundant number, since it is smaller than the sum of its proper divisors (43519582774668).

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

21322124413044 is a wasteful number, since it uses less digits than its factorization.

21322124413044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124266 (or 124264 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 21322124413044 its reverse (44031442122312), we get a palindrome (65353566535356).

The spelling of 21322124413044 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred twenty-four million, four hundred thirteen thousand, forty-four".