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1520214321312 = 253215134957099
BaseRepresentation
bin10110000111110011110…
…101011010100010100000
312101022221100110001112200
4112013303311122202200
5144401344331240222
63122213220453200
7214555220344641
oct26076365324240
95338840401480
101520214321312
115367a0397165
1220676484a200
13b0481320c8b
14538161c16c8
1529826d4ceac
hex161f3d5a8a0

1520214321312 has 72 divisors (see below), whose sum is σ = 4351739464800. Its totient is φ = 503382211200.

The previous prime is 1520214321299. The next prime is 1520214321347. The reversal of 1520214321312 is 2131234120251.

It is a happy number.

1520214321312 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 21 + 4 + 321 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×15202143213122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17435062 + ... + 17522037.

It is an arithmetic number, because the mean of its divisors is an integer number (60440825900).

Almost surely, 21520214321312 is an apocalyptic number.

1520214321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1520214321312 is an abundant number, since it is smaller than the sum of its proper divisors (2831525143488).

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

1520214321312 is a wasteful number, since it uses less digits than its factorization.

1520214321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34957266 (or 34957255 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1520214321312 its reverse (2131234120251), we get a palindrome (3651448441563).

The spelling of 1520214321312 in words is "one trillion, five hundred twenty billion, two hundred fourteen million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 43488 34957099 69914198 104871297 139828396 209742594 279656792 314613891 419485188 559313584 629227782 838970376 1118627168 1258455564 1677940752 2516911128 3355881504 5033822256 5278521949 10067644512 10557043898 15835565847 21114087796 31671131694 42228175592 47506697541 63342263388 84456351184 95013395082 126684526776 168912702368 190026790164 253369053552 380053580328 506738107104 760107160656 1520214321312