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1022381120 = 2653194941
BaseRepresentation
bin111100111100000…
…100110001000000
32122020210100020102
4330330010301000
54043212143440
6245241101532
734223044655
oct7474046100
92566710212
101022381120
11485120082
122464878a8
13133a75357
1499ad5c2c
155eb52b15
hex3cf04c40

1022381120 has 28 divisors (see below), whose sum is σ = 2434545804. Its totient is φ = 408952320.

The previous prime is 1022381099. The next prime is 1022381123. The reversal of 1022381120 is 211832201.

It can be written as a sum of positive squares in 2 ways, for example, as 158961664 + 863419456 = 12608^2 + 29384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1022381092 and 1022381101.

It is not an unprimeable number, because it can be changed into a prime (1022381123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1597151 + ... + 1597790.

Almost surely, 21022381120 is an apocalyptic number.

1022381120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022381120 is an abundant number, since it is smaller than the sum of its proper divisors (1412164684).

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

1022381120 is an equidigital number, since it uses as much as digits as its factorization.

1022381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194958 (or 3194948 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1022381120 is about 31974.6949946360. The cubic root of 1022381120 is about 1007.4053980427.

The spelling of 1022381120 in words is "one billion, twenty-two million, three hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3194941 6389882 12779764 15974705 25559528 31949410 51119056 63898820 102238112 127797640 204476224 255595280 511190560 1022381120