Search a number
-
+
332013123101312 = 2722153117088093
BaseRepresentation
bin100101101111101101101010…
…0010000110110001010000000
31121112120010220101220211000122
41023133123110100312022000
5322004200334003220222
63134044420110035412
7126635104462201052
oct11337332420661200
91545503811824018
10332013123101312
1196875a7a476634
12312a244b1a8b68
131133491ab1b823
145bdb7414c38d2
15285b653781a42
hex12df6d4436280

332013123101312 has 32 divisors (see below), whose sum is σ = 661462256791380. Its totient is φ = 165999066494976.

The previous prime is 332013123101269. The next prime is 332013123101339. The reversal of 332013123101312 is 213101321310233.

It can be written as a sum of positive squares in 2 ways, for example, as 319604863230016 + 12408259871296 = 17877496^2 + 3522536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3320131231013122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55708463 + ... + 61379630.

Almost surely, 2332013123101312 is an apocalyptic number.

332013123101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332013123101312 is a deficient number, since it is larger than the sum of its proper divisors (329449133690068).

332013123101312 is a wasteful number, since it uses less digits than its factorization.

332013123101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117110260 (or 117110248 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 332013123101312 its reverse (213101321310233), we get a palindrome (545114444411545).

The spelling of 332013123101312 in words is "three hundred thirty-two trillion, thirteen billion, one hundred twenty-three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 22153 44306 88612 177224 354448 708896 1417792 2835584 117088093 234176186 468352372 936704744 1873409488 3746818976 7493637952 14987275904 2593852524229 5187705048458 10375410096916 20750820193832 41501640387664 83003280775328 166006561550656 332013123101312