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1320003003020 = 2251323361935201
BaseRepresentation
bin10011001101010110010…
…011110110001010001100
311200012011021112021211212
4103031112103312022030
5133111331232044040
62450222341233552
7164236622253422
oct23152623661214
94605137467755
101320003003020
114698a0312449
121939aa4028b8
13976252b3bc0
1447c62013112
152450a085d65
hex133564f628c

1320003003020 has 96 divisors (see below), whose sum is σ = 3002978422080. Its totient is φ = 484496179200.

The previous prime is 1320003003001. The next prime is 1320003003097. The reversal of 1320003003020 is 203003000231.

It is a super-3 number, since 3×13200030030203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1320003002986 and 1320003003004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37481420 + ... + 37516620.

It is an arithmetic number, because the mean of its divisors is an integer number (31281025230).

Almost surely, 21320003003020 is an apocalyptic number.

1320003003020 is a gapful number since it is divisible by the number (10) 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 1320003003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501489211040).

1320003003020 is an abundant number, since it is smaller than the sum of its proper divisors (1682975419060).

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

1320003003020 is a wasteful number, since it uses less digits than its factorization.

1320003003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36075 (or 36073 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 1320003003020 its reverse (203003000231), we get a palindrome (1523006003251).

The spelling of 1320003003020 in words is "one trillion, three hundred twenty billion, three million, three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 233 260 466 619 932 1165 1238 2330 2476 3029 3095 4660 6058 6190 8047 12116 12380 15145 16094 30290 32188 35201 40235 60580 70402 80470 140804 144227 160940 176005 288454 352010 457613 576908 704020 721135 915226 1442270 1830452 1874951 2288065 2884540 3749902 4576130 7499804 8201833 9152260 9374755 16403666 18749510 21789419 32807332 37499020 41009165 43578838 82018330 87157676 106623829 108947095 164036660 213247658 217894190 283262447 426495316 435788380 533119145 566524894 1066238290 1133049788 1416312235 2132476580 2832624470 5076934627 5665248940 10153869254 20307738508 25384673135 50769346270 66000150151 101538692540 132000300302 264000600604 330000750755 660001501510 1320003003020