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1330102030032 = 243261229661237
BaseRepresentation
bin10011010110110000010…
…000100100111011010000
311201011020002122000111100
4103112300100210323100
5133243022104430112
62455012422344400
7165045111466026
oct23266020447320
94634202560440
101330102030032
11473102a13966
1219594858b100
1398574664029
144853d392716
15248eb9a52dc
hex135b0424ed0

1330102030032 has 120 divisors (see below), whose sum is σ = 3799989313640. Its totient is φ = 434194007040.

The previous prime is 1330102030021. The next prime is 1330102030063. The reversal of 1330102030032 is 2300302010331.

1330102030032 is a `hidden beast` number, since 1 + 330 + 1 + 0 + 2 + 0 + 300 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3495647376 + 1326606382656 = 59124^2 + 1151784^2 .

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 = 1330102029987 and 1330102030014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680918 + ... + 2342154.

Almost surely, 21330102030032 is an apocalyptic number.

1330102030032 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 1330102030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899994656820).

1330102030032 is an abundant number, since it is smaller than the sum of its proper divisors (2469887283608).

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

1330102030032 is a wasteful number, since it uses less digits than its factorization.

1330102030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661541 (or 661532 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1330102030032 its reverse (2300302010331), we get a palindrome (3630404040363).

The spelling of 1330102030032 in words is "one trillion, three hundred thirty billion, one hundred two million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 229 244 366 458 488 549 687 732 916 976 1098 1374 1464 1832 2061 2196 2748 2928 3664 4122 4392 5496 8244 8784 10992 13969 16488 27938 32976 41907 55876 83814 111752 125721 167628 223504 251442 335256 502884 661237 670512 1005768 1322474 1983711 2011536 2644948 3967422 5289896 5951133 7934844 10579792 11902266 15869688 23804532 31739376 40335457 47609064 80670914 95218128 121006371 151423273 161341828 242012742 302846546 322683656 363019113 454269819 484025484 605693092 645367312 726038226 908539638 968050968 1211386184 1362809457 1452076452 1817079276 1936101936 2422772368 2725618914 2904152904 3634158552 5451237828 5808305808 7268317104 9236819653 10902475656 18473639306 21804951312 27710458959 36947278612 55420917918 73894557224 83131376877 110841835836 147789114448 166262753754 221683671672 332525507508 443367343344 665051015016 1330102030032