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1013231988 = 223228145333
BaseRepresentation
bin111100011001001…
…011000101110100
32121121120111222200
4330121023011310
54033341410423
6244313024500
734052221056
oct7431130564
92547514880
101013231988
1147aa4120a
122433b5130
13131bc0b72
14987d38d6
155de46d43
hex3c64b174

1013231988 has 18 divisors (see below), whose sum is σ = 2561225394. Its totient is φ = 337743984.

The previous prime is 1013231987. The next prime is 1013232001. The reversal of 1013231988 is 8891323101.

1013231988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 877462884 + 135769104 = 29622^2 + 11652^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 28145333 = 1013231988 / (1 + 0 + 1 + 3 + 2 + 3 + 1 + 9 + 8 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013231987) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14072631 + ... + 14072702.

Almost surely, 21013231988 is an apocalyptic number.

1013231988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1013231988 is an abundant number, since it is smaller than the sum of its proper divisors (1547993406).

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

1013231988 is a wasteful number, since it uses less digits than its factorization.

1013231988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28145343 (or 28145338 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1013231988 is about 31831.3051570306. The cubic root of 1013231988 is about 1004.3913504801.

The spelling of 1013231988 in words is "one billion, thirteen million, two hundred thirty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 28145333 56290666 84435999 112581332 168871998 253307997 337743996 506615994 1013231988