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11331131010 = 2352323968711
BaseRepresentation
bin10101000110110001…
…10101011010000010
31002020200112002120220
422203120311122002
5141201232143020
65112213243510
7550540011243
oct124330653202
932220462526
1011331131010
114895145491
122242933596
1310b7705164
14796c68cca
15464b9c240
hex2a3635682

11331131010 has 64 divisors (see below), whose sum is σ = 28496240640. Its totient is φ = 2878124480.

The previous prime is 11331131003. The next prime is 11331131011. The reversal of 11331131010 is 1013113311.

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

It is not an unprimeable number, because it can be changed into a prime (11331131011) 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, 130555 + ... + 199265.

It is an arithmetic number, because the mean of its divisors is an integer number (445253760).

Almost surely, 211331131010 is an apocalyptic number.

11331131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14248120320).

11331131010 is an abundant number, since it is smaller than the sum of its proper divisors (17165109630).

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

11331131010 is a wasteful number, since it uses less digits than its factorization.

11331131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68983.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 11331131010 its reverse (1013113311), we get a palindrome (12344244321).

The spelling of 11331131010 in words is "eleven billion, three hundred thirty-one million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 239 345 478 690 717 1195 1434 2390 3585 5497 7170 10994 16491 27485 32982 54970 68711 82455 137422 164910 206133 343555 412266 687110 1030665 1580353 2061330 3160706 4741059 7901765 9482118 15803530 16421929 23705295 32843858 47410590 49265787 82109645 98531574 164219290 246328935 377704367 492657870 755408734 1133113101 1888521835 2266226202 3777043670 5665565505 11331131010