Search a number
-
+
21003003111220 = 22513192594498447
BaseRepresentation
bin1001100011010001001001…
…00010100010011100110100
32202100212102101202210021021
410301220210202202130310
510223103122244024340
6112400351343430524
74265262665552134
oct461504442423464
982325371683237
1021003003111220
116768361788929
1224326332b5444
13b947617b2c60
1452879d47aac4
1526650a0a7e4a
hex131a248a2734

21003003111220 has 288 divisors, whose sum is σ = 51099890688000. Its totient is φ = 7205339086848.

The previous prime is 21003003111203. The next prime is 21003003111241. The reversal of 21003003111220 is 2211130030012.

It is a super-2 number, since 2×210030031112202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21003003111194 and 21003003111203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2486441037 + ... + 2486449483.

It is an arithmetic number, because the mean of its divisors is an integer number (177430176000).

Almost surely, 221003003111220 is an apocalyptic number.

21003003111220 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 21003003111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25549945344000).

21003003111220 is an abundant number, since it is smaller than the sum of its proper divisors (30096887576780).

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

21003003111220 is a wasteful number, since it uses less digits than its factorization.

21003003111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9015 (or 8994 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21003003111220 its reverse (2211130030012), we get a palindrome (23214133141232).

The spelling of 21003003111220 in words is "twenty-one trillion, three billion, three million, one hundred eleven thousand, two hundred twenty".