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331013213312 = 2715716471597
BaseRepresentation
bin1001101000100011110…
…11001100110010000000
31011122101212202111111012
410310101323030302000
520410403340311222
6412022041540052
732625546614015
oct4642173146200
91148355674435
10331013213312
11118422369501
125419b7a4628
13252a30a91c2
1412041d7770c
1589252291e2
hex4d11eccc80

331013213312 has 32 divisors (see below), whose sum is σ = 663640683420. Its totient is φ = 164452414464.

The previous prime is 331013213309. The next prime is 331013213317. The reversal of 331013213312 is 213312310133.

It can be written as a sum of positive squares in 2 ways, for example, as 331011512896 + 1700416 = 575336^2 + 1304^2 .

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

It is a super-2 number, since 2×3310132133122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331013213317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8215703 + ... + 8255894.

Almost surely, 2331013213312 is an apocalyptic number.

331013213312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331013213312 is an abundant number, since it is smaller than the sum of its proper divisors (332627470108).

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

331013213312 is a wasteful number, since it uses less digits than its factorization.

331013213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16471768 (or 16471756 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 331013213312 its reverse (213312310133), we get a palindrome (544325523445).

The spelling of 331013213312 in words is "three hundred thirty-one billion, thirteen million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2512 5024 10048 20096 16471597 32943194 65886388 131772776 263545552 527091104 1054182208 2108364416 2586040729 5172081458 10344162916 20688325832 41376651664 82753303328 165506606656 331013213312