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1122100320 = 253511223953
BaseRepresentation
bin100001011100001…
…1110010001100000
32220012102121021010
41002320132101200
54244224202240
6303202300520
736543460335
oct10270362140
92805377233
101122100320
1152643a640
12273957740
1314b61b0b3
14a905298c
156879e280
hex42e1e460

1122100320 has 192 divisors, whose sum is σ = 3877300224. Its totient is φ = 270520320.

The previous prime is 1122100319. The next prime is 1122100327. The reversal of 1122100320 is 230012211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1122100296 and 1122100305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122100327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176964 + ... + 1177916.

It is an arithmetic number, because the mean of its divisors is an integer number (20194272).

Almost surely, 21122100320 is an apocalyptic number.

1122100320 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 1122100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938650112).

1122100320 is an abundant number, since it is smaller than the sum of its proper divisors (2755199904).

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

1122100320 is a wasteful number, since it uses less digits than its factorization.

1122100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1122100320 is about 33497.7658956534. The cubic root of 1122100320 is about 1039.1475756726.

Adding to 1122100320 its reverse (230012211), we get a palindrome (1352112531).

The spelling of 1122100320 in words is "one billion, one hundred twenty-two million, one hundred thousand, three hundred twenty".