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1132123020 = 2235723163719
BaseRepresentation
bin100001101111010…
…1101001110001100
32220220021210211020
41003132231032030
54304310414040
6304201154140
740024613130
oct10336551614
92826253736
101132123020
11531065866
1227718b950
1315071a0a2
14aa5013c0
15695cdcd0
hex437ad38c

1132123020 has 192 divisors, whose sum is σ = 3808788480. Its totient is φ = 245659392.

The previous prime is 1132123019. The next prime is 1132123033. The reversal of 1132123020 is 203212311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1574221 + ... + 1574939.

It is an arithmetic number, because the mean of its divisors is an integer number (19837440).

Almost surely, 21132123020 is an apocalyptic number.

1132123020 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 1132123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904394240).

1132123020 is an abundant number, since it is smaller than the sum of its proper divisors (2676665460).

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

1132123020 is a wasteful number, since it uses less digits than its factorization.

1132123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1132123020 is about 33647.0358278408. The cubic root of 1132123020 is about 1042.2323289580.

Adding to 1132123020 its reverse (203212311), we get a palindrome (1335335331).

The spelling of 1132123020 in words is "one billion, one hundred thirty-two million, one hundred twenty-three thousand, twenty".