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1331112232320 = 27351353329817
BaseRepresentation
bin10011010111101100011…
…110001100010110000000
311201020211111111121111220
4103113230132030112000
5133302104212413240
62455300550435040
7165112126201143
oct23275436142600
94636744447456
101331112232320
11473581175892
12195b8a962a80
13986a5a33b70
14485d75d805a
152495a4ee5d0
hex135ec78c580

1331112232320 has 128 divisors (see below), whose sum is σ = 4569298806240. Its totient is φ = 327658389504.

The previous prime is 1331112232273. The next prime is 1331112232327. The reversal of 1331112232320 is 232322111331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331112232327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26639949 + ... + 26689868.

Almost surely, 21331112232320 is an apocalyptic number.

1331112232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331112232320 is an abundant number, since it is smaller than the sum of its proper divisors (3238186573920).

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

1331112232320 is a wasteful number, since it uses less digits than its factorization.

1331112232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53329852 (or 53329840 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1331112232320 its reverse (232322111331), we get a palindrome (1563434343651).

The spelling of 1331112232320 in words is "one trillion, three hundred thirty-one billion, one hundred twelve million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 53329817 106659634 159989451 213319268 266649085 319978902 426638536 533298170 639957804 693287621 799947255 853277072 1066596340 1279915608 1386575242 1599894510 1706554144 2079862863 2133192680 2559831216 2773150484 3199789020 3413108288 3466438105 4159725726 4266385360 5119662432 5546300968 6399578040 6826216576 6932876210 8319451452 8532770720 10239324864 10399314315 11092601936 12799156080 13865752420 16638902904 17065541440 20478649728 20798628630 22185203872 25598312160 27731504840 33277805808 34131082880 41597257260 44370407744 51196624320 55463009680 66555611616 83194514520 88740815488 102393248640 110926019360 133111223232 166389029040 221852038720 266222446464 332778058080 443704077440 665556116160 1331112232320