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1311331032 = 23361120441
BaseRepresentation
bin100111000101001…
…0101001011011000
310101101111112000000
41032022111023120
510141200043112
6334042213000
744332062354
oct11612251330
93341445000
101311331032
11613237460
123071b4160
1317b8a462b
14c6230464
157a1cc7dc
hex4e2952d8

1311331032 has 112 divisors (see below), whose sum is σ = 4021759080. Its totient is φ = 397353600.

The previous prime is 1311331013. The next prime is 1311331051. The reversal of 1311331032 is 2301331131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1311331013) and next prime (1311331051).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1311330996 and 1311331014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 53932 + ... + 74372.

Almost surely, 21311331032 is an apocalyptic number.

1311331032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010879540).

1311331032 is an abundant number, since it is smaller than the sum of its proper divisors (2710428048).

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

1311331032 is a wasteful number, since it uses less digits than its factorization.

1311331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20476 (or 20457 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1311331032 is about 36212.3049804897. The cubic root of 1311331032 is about 1094.5546396787.

Adding to 1311331032 its reverse (2301331131), we get a palindrome (3612662163).

Subtracting 1311331032 from its reverse (2301331131), we obtain a palindrome (990000099).

The spelling of 1311331032 in words is "one billion, three hundred eleven million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1188 1458 1782 1944 2376 2673 2916 3564 5346 5832 7128 8019 10692 16038 20441 21384 32076 40882 61323 64152 81764 122646 163528 183969 224851 245292 367938 449702 490584 551907 674553 735876 899404 1103814 1349106 1471752 1655721 1798808 2023659 2207628 2698212 3311442 4047318 4415256 4967163 5396424 6070977 6622884 8094636 9934326 12141954 13245768 14901489 16189272 18212931 19868652 24283908 29802978 36425862 39737304 48567816 54638793 59605956 72851724 109277586 119211912 145703448 163916379 218555172 327832758 437110344 655665516 1311331032