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313220021112 = 233237495723719
BaseRepresentation
bin1001000111011010101…
…11100011101101111000
31002221110211201200102200
410203231113203231320
520112433311133422
6355520304030200
731425612152055
oct4435527435570
91087424650380
10313220021112
11110921599889
1250854902360
13236c89777cb
1411234bc202c
1582330c22ac
hex48ed5e3b78

313220021112 has 96 divisors (see below), whose sum is σ = 871443861600. Its totient is φ = 101560096512.

The previous prime is 313220021099. The next prime is 313220021117. The reversal of 313220021112 is 211120022313.

313220021112 is a `hidden beast` number, since 313 + 220 + 0 + 21 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313220021117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13193589 + ... + 13217307.

It is an arithmetic number, because the mean of its divisors is an integer number (9077540225).

Almost surely, 2313220021112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313220021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435721930800).

313220021112 is an abundant number, since it is smaller than the sum of its proper divisors (558223840488).

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

313220021112 is a wasteful number, since it uses less digits than its factorization.

313220021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28725 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 313220021112 its reverse (211120022313), we get a palindrome (524340043425).

The spelling of 313220021112 in words is "three hundred thirteen billion, two hundred twenty million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4957 9914 14871 19828 23719 29742 39656 44613 47438 59484 71157 89226 94876 118968 142314 178452 183409 189752 213471 284628 356904 366818 426942 550227 569256 733636 853884 877603 1100454 1467272 1650681 1707768 1755206 2200908 2632809 3301362 3510412 4401816 5265618 6602724 7020824 7898427 10531236 13205448 15796854 21062472 31593708 63187416 117575083 235150166 352725249 470300332 705450498 940600664 1058175747 1410900996 2116351494 2821801992 4232702988 4350278071 8465405976 8700556142 13050834213 17401112284 26101668426 34802224568 39152502639 52203336852 78305005278 104406673704 156610010556 313220021112