Search a number
-
+
1122021021000 = 23353113280997
BaseRepresentation
bin10000010100111101101…
…010100001010101001000
310222021010120111112121010
4100110331222201111020
5121340344340133000
62215241020243520
7144030504213645
oct20247552412510
93867116445533
101122021021000
113a2934685000
121615566a05a0
1381a630aa309
143c43dd5adcc
151e2bdd82d50
hex1053daa1548

1122021021000 has 256 divisors, whose sum is σ = 3850526833920. Its totient is φ = 272004128000.

The previous prime is 1122021020947. The next prime is 1122021021041. The reversal of 1122021021000 is 1201202211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3852502 + ... + 4133498.

It is an arithmetic number, because the mean of its divisors is an integer number (15041120445).

Almost surely, 21122021021000 is an apocalyptic number.

1122021021000 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 1122021021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925263416960).

1122021021000 is an abundant number, since it is smaller than the sum of its proper divisors (2728505812920).

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

1122021021000 is a wasteful number, since it uses less digits than its factorization.

1122021021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281054 (or 281018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1122021021000 its reverse (1201202211), we get a palindrome (1123222223211).

The spelling of 1122021021000 in words is "one trillion, one hundred twenty-two billion, twenty-one million, twenty-one thousand".