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1312210320330 = 2357131925298059
BaseRepresentation
bin10011000110000101110…
…101000111101111001010
311122110001012012222211110
4103012011311013233022
5132444401320222310
62442453205111150
7163542536455050
oct23060565075712
94573035188743
101312210320330
11466561575618
121923946b84b6
13969829ba860
14477230b41d0
1524200d8cd20
hex13185d47bca

1312210320330 has 128 divisors (see below), whose sum is σ = 4080071116800. Its totient is φ = 262290265344.

The previous prime is 1312210320319. The next prime is 1312210320347. The reversal of 1312210320330 is 330230122131.

It is a super-2 number, since 2×13122103203302 (a number of 25 digits) contains 22 as substring.

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 = 1312210320297 and 1312210320306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12597160 + ... + 12700899.

It is an arithmetic number, because the mean of its divisors is an integer number (31875555600).

Almost surely, 21312210320330 is an apocalyptic number.

1312210320330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312210320330 is an abundant number, since it is smaller than the sum of its proper divisors (2767860796470).

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

1312210320330 is a wasteful number, since it uses less digits than its factorization.

1312210320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25298108.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1312210320330 its reverse (330230122131), we get a palindrome (1642440442461).

The spelling of 1312210320330 in words is "one trillion, three hundred twelve billion, two hundred ten million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1330 1365 1482 1729 1995 2470 2730 3458 3705 3990 5187 7410 8645 10374 17290 25935 51870 25298059 50596118 75894177 126490295 151788354 177086413 252980590 328874767 354172826 379470885 480663121 531259239 657749534 758941770 885432065 961326242 986624301 1062518478 1441989363 1644373835 1770864130 1973248602 2302123369 2403315605 2656296195 2883978726 3288747670 3364641847 4604246738 4806631210 4933121505 5312592390 6248620573 6729283694 6906370107 7209946815 9866243010 10093925541 11510616845 12497241146 13812740214 14419893630 16823209235 18745861719 20187851082 23021233690 31243102865 33646418470 34531850535 37491723438 43740344011 50469627705 62486205730 69063701070 87480688022 93729308595 100939255410 131221032033 187458617190 218701720055 262442064066 437403440110 656105160165 1312210320330