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21003024121344 = 293319409195511
BaseRepresentation
bin1001100011010001001011…
…10010101011111000000000
32202100212110212022012202000
410301220211302223320000
510223103143133340334
6112400353414024000
74265263342256136
oct461504562537000
982325425265660
1021003024121344
116768372629071
12243263a348000
13b94765c5b095
145287a2189756
1526650bd58299
hex131a25cabe00

21003024121344 has 320 divisors, whose sum is σ = 65602878528000. Its totient is φ = 6616283627520.

The previous prime is 21003024121337. The next prime is 21003024121357. The reversal of 21003024121344 is 44312142030012.

21003024121344 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 302 + 4 + 12 + 1 + 344 = 666.

It is a super-2 number, since 2×210030241213442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 107328549 + ... + 107524059.

It is an arithmetic number, because the mean of its divisors is an integer number (205008995400).

Almost surely, 221003024121344 is an apocalyptic number.

21003024121344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21003024121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32801439264000).

21003024121344 is an abundant number, since it is smaller than the sum of its proper divisors (44599854406656).

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

21003024121344 is a wasteful number, since it uses less digits than its factorization.

21003024121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195966 (or 195944 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21003024121344 its reverse (44312142030012), we get a palindrome (65315166151356).

The spelling of 21003024121344 in words is "twenty-one trillion, three billion, twenty-four million, one hundred twenty-one thousand, three hundred forty-four".