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1331303232 = 26372934157
BaseRepresentation
bin100111101011010…
…0001001101000000
310102210002012201010
41033112201031000
510211303200412
6340034240520
744663614350
oct11726411500
93383065633
101331303232
11623538906
12311a26140
13182a781bc
14c8b4cb60
157bd2533c
hex4f5a1340

1331303232 has 112 divisors (see below), whose sum is σ = 4164543360. Its totient is φ = 367245312.

The previous prime is 1331303231. The next prime is 1331303249. The reversal of 1331303232 is 2323031331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1331303199 and 1331303208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331303231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21898 + ... + 56054.

Almost surely, 21331303232 is an apocalyptic number.

1331303232 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 1331303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082271680).

1331303232 is an abundant number, since it is smaller than the sum of its proper divisors (2833240128).

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

1331303232 is a wasteful number, since it uses less digits than its factorization.

1331303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34208 (or 34198 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 1331303232 is about 36487.0282703319. The cubic root of 1331303232 is about 1100.0835286433.

Adding to 1331303232 its reverse (2323031331), we get a palindrome (3654334563).

The spelling of 1331303232 in words is "one billion, three hundred thirty-one million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 9744 12992 19488 34157 38976 68314 102471 136628 204942 239099 273256 409884 478198 546512 717297 819768 956396 990553 1093024 1434594 1639536 1912792 1981106 2186048 2869188 2971659 3279072 3825584 3962212 5738376 5943318 6558144 6933871 7651168 7924424 11476752 11886636 13867742 15302336 15848848 20801613 22953504 23773272 27735484 31697696 41603226 45907008 47546544 55470968 63395392 83206452 95093088 110941936 166412904 190186176 221883872 332825808 443767744 665651616 1331303232