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1311110032 = 242331281409
BaseRepresentation
bin100111000100101…
…1111001110010000
310101101002021211211
41032021133032100
510141121010112
6334033345504
744330152141
oct11611371620
93341067754
101311110032
116130a6411
12307108294
1317b827b6b
14c61b3ac8
157a1870a7
hex4e25f390

1311110032 has 80 divisors (see below), whose sum is σ = 2752680960. Its totient is φ = 603187200.

The previous prime is 1311110011. The next prime is 1311110041. The reversal of 1311110032 is 2300111131.

It is a super-2 number, since 2×13111100322 = 3438019032022082048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311109994 and 1311110021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3205444 + ... + 3205852.

It is an arithmetic number, because the mean of its divisors is an integer number (34408512).

Almost surely, 21311110032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376340480).

1311110032 is an abundant number, since it is smaller than the sum of its proper divisors (1441570928).

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

1311110032 is a wasteful number, since it uses less digits than its factorization.

1311110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1311110032 is about 36209.2534029632. The cubic root of 1311110032 is about 1094.4931474087.

Adding to 1311110032 its reverse (2300111131), we get a palindrome (3611221163).

The spelling of 1311110032 in words is "one billion, three hundred eleven million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 281 368 409 496 562 713 818 1124 1426 1636 2248 2852 3272 4496 5704 6463 6544 8711 9407 11408 12679 12926 17422 18814 25358 25852 34844 37628 50716 51704 69688 75256 101432 103408 114929 139376 150512 200353 202864 229858 291617 400706 459716 583234 801412 919432 1166468 1602824 1838864 2332936 2643367 3205648 3562799 4665872 5286734 7125598 10573468 14251196 21146936 28502392 42293872 57004784 81944377 163888754 327777508 655555016 1311110032