Search a number
-
+
1122430022000 = 24537415773389
BaseRepresentation
bin10000010101010110000…
…010101111000101110000
310222022012002002221111022
4100111112002233011300
5121342214041201000
62215345350435012
7144043601524460
oct20252602570560
93868162087438
101122430022000
113a3024538561
1216164b662a68
1381ac9a50841
143c47c3c5ba0
151e2e4c23585
hex105560af170

1122430022000 has 320 divisors, whose sum is σ = 3183853720320. Its totient is φ = 374685696000.

The previous prime is 1122430021997. The next prime is 1122430022027. The reversal of 1122430022000 is 2200342211.

It is a self number, because there is not a number n which added to its sum of digits gives 1122430022000.

It is a congruent number.

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, 331196306 + ... + 331199694.

It is an arithmetic number, because the mean of its divisors is an integer number (9949542876).

Almost surely, 21122430022000 is an apocalyptic number.

1122430022000 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 1122430022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591926860160).

1122430022000 is an abundant number, since it is smaller than the sum of its proper divisors (2061423698320).

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

1122430022000 is a wasteful number, since it uses less digits than its factorization.

1122430022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1122430022000 its reverse (2200342211), we get a palindrome (1124630364211).

The spelling of 1122430022000 in words is "one trillion, one hundred twenty-two billion, four hundred thirty million, twenty-two thousand".