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21303022131300 = 2235272131731375717
BaseRepresentation
bin1001101011111111111110…
…00100010001100001100100
32210102112211020111010122210
410311333333010101201210
510243012042131200200
6113150250120323420
74326043514262600
oct465777704214144
983375736433583
1021303022131300
1168736196961a8
122480803013570
13bb6b35540c40
14539100d30500
1526e219272650
hex135fff111864

21303022131300 has 1728 divisors, whose sum is σ = 86690767435776. Its totient is φ = 3982506393600.

The previous prime is 21303022131253. The next prime is 21303022131311. The reversal of 21303022131300 is 313122030312.

It is a super-3 number, since 3×213030221313003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3726256042 + ... + 3726261758.

It is an arithmetic number, because the mean of its divisors is an integer number (50168268192).

Almost surely, 221303022131300 is an apocalyptic number.

21303022131300 is a gapful number since it is divisible by the number (20) 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 21303022131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43345383717888).

21303022131300 is an abundant number, since it is smaller than the sum of its proper divisors (65387745304476).

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

21303022131300 is a wasteful number, since it uses less digits than its factorization.

21303022131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21303022131300 its reverse (313122030312), we get a palindrome (21616144161612).

The spelling of 21303022131300 in words is "twenty-one trillion, three hundred three billion, twenty-two million, one hundred thirty-one thousand, three hundred".