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1010131320 = 233511765251
BaseRepresentation
bin111100001101010…
…110000101111000
32121101201222200010
4330031112011320
54032043200240
6244122341520
734013655162
oct7415260570
92541658603
101010131320
11479213680
1224235a8a0
13131376753
1498227932
155da33280
hex3c356178

1010131320 has 64 divisors (see below), whose sum is σ = 3305888640. Its totient is φ = 244880000.

The previous prime is 1010131303. The next prime is 1010131327. The reversal of 1010131320 is 231310101.

1010131320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1010131296 and 1010131305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010131327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381306 + ... + 383945.

It is an arithmetic number, because the mean of its divisors is an integer number (51654510).

Almost surely, 21010131320 is an apocalyptic number.

1010131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010131320 is an abundant number, since it is smaller than the sum of its proper divisors (2295757320).

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

1010131320 is a wasteful number, since it uses less digits than its factorization.

1010131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765276 (or 765272 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1010131320 is about 31782.5631439631. The cubic root of 1010131320 is about 1003.3657655792.

Adding to 1010131320 its reverse (231310101), we get a palindrome (1241441421).

The spelling of 1010131320 in words is "one billion, ten million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 765251 1530502 2295753 3061004 3826255 4591506 6122008 7652510 8417761 9183012 11478765 15305020 16835522 18366024 22957530 25253283 30610040 33671044 42088805 45915060 50506566 67342088 84177610 91830120 101013132 126266415 168355220 202026264 252532830 336710440 505065660 1010131320