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1131923014320 = 2435722910731019
BaseRepresentation
bin10000011110001011110…
…111101000001010110000
311000012200122211220211110
4100132023313220022300
5122021134242424240
62223555342313320
7144531051605100
oct20361367501260
94005618756743
101131923014320
113a705603a15a
1216345a888840
13829806a1367
143cadd08b200
151e69d331c80
hex1078bde82b0

1131923014320 has 480 divisors, whose sum is σ = 4262207558400. Its totient is φ = 247461107712.

The previous prime is 1131923014303. The next prime is 1131923014351. The reversal of 1131923014320 is 234103291311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36475771 + ... + 36506789.

It is an arithmetic number, because the mean of its divisors is an integer number (8879599080).

Almost surely, 21131923014320 is an apocalyptic number.

1131923014320 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 1131923014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131103779200).

1131923014320 is an abundant number, since it is smaller than the sum of its proper divisors (3130284544080).

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

1131923014320 is a wasteful number, since it uses less digits than its factorization.

1131923014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31185 (or 31172 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 1131923014320 in words is "one trillion, one hundred thirty-one billion, nine hundred twenty-three million, fourteen thousand, three hundred twenty".