Search a number
-
+
10111303222020 = 223257311132372381
BaseRepresentation
bin1001001100100011100010…
…1000110000001100000100
31022210122001002212202201200
42103020320220300030010
52311130422111101040
633301022451222500
72062342343205000
oct223107050601404
938718032782650
1010111303222020
1132491a8082120
12117377aba7a30
1358465164ab00
1426d565431700
15128041665630
hex93238a30304

10111303222020 has 1728 divisors, whose sum is σ = 43412052902400. Its totient is φ = 1886221209600.

The previous prime is 10111303222019. The next prime is 10111303222051. The reversal of 10111303222020 is 2022230311101.

10111303222020 is a `hidden beast` number, since 1 + 0 + 11 + 130 + 322 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10111303221984 and 10111303222002.

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, 4246661230 + ... + 4246663610.

It is an arithmetic number, because the mean of its divisors is an integer number (25122715800).

Almost surely, 210111303222020 is an apocalyptic number.

10111303222020 is a gapful number since it is divisible by the number (10) 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 10111303222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21706026451200).

10111303222020 is an abundant number, since it is smaller than the sum of its proper divisors (33300749680380).

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

10111303222020 is a wasteful number, since it uses less digits than its factorization.

10111303222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10111303222020 its reverse (2022230311101), we get a palindrome (12133533533121).

It can be divided in two parts, 1011 and 1303222020, that added together give a palindrome (1303223031).

The spelling of 10111303222020 in words is "ten trillion, one hundred eleven billion, three hundred three million, two hundred twenty-two thousand, twenty".