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1331110242 = 232711979901
BaseRepresentation
bin100111101010111…
…0010000101100010
310102202201101222100
41033111302011202
510211231011432
6340030151230
744662151610
oct11725620542
93382641870
101331110242
11623416910
12311952516
13182a0b3c7
14c8adc6b0
157bcd807c
hex4f572162

1331110242 has 96 divisors (see below), whose sum is σ = 3633162624. Its totient is φ = 342144000.

The previous prime is 1331110177. The next prime is 1331110273. The reversal of 1331110242 is 2420111331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129492 + ... + 139392.

It is an arithmetic number, because the mean of its divisors is an integer number (37845444).

Almost surely, 21331110242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331110242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816581312).

1331110242 is an abundant number, since it is smaller than the sum of its proper divisors (2302052382).

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

1331110242 is a wasteful number, since it uses less digits than its factorization.

1331110242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1331110242 is about 36484.3835359733. The cubic root of 1331110242 is about 1100.0303688585.

Adding to 1331110242 its reverse (2420111331), we get a palindrome (3751221573).

The spelling of 1331110242 in words is "one billion, three hundred thirty-one million, one hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 97 99 126 154 194 198 231 291 462 582 679 693 873 1067 1358 1386 1746 2037 2134 3201 4074 6111 6402 7469 9603 9901 12222 14938 19206 19802 22407 29703 44814 59406 67221 69307 89109 108911 134442 138614 178218 207921 217822 326733 415842 623763 653466 762377 960397 980199 1247526 1524754 1920794 1960398 2287131 2881191 4574262 5762382 6722779 6861393 8643573 10564367 13445558 13722786 17287146 20168337 21128734 31693101 40336674 60505011 63386202 73950569 95079303 121010022 147901138 190158606 221851707 443703414 665555121 1331110242