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12319655220 = 2232582732
BaseRepresentation
bin10110111100100111…
…10000010100110100
31011210120121022212200
423132103300110310
5200212312431340
65354244544500
7614202225105
oct133623602464
934716538780
1012319655220
115252140344
1224799b2130
131214454b22
1484c26a3ac
154c1863330
hex2de4f0534

12319655220 has 54 divisors (see below), whose sum is σ = 37374138438. Its totient is φ = 3284844288.

The previous prime is 12319655203. The next prime is 12319655269. The reversal of 12319655220 is 2255691321.

It is a happy number.

12319655220 is a `hidden beast` number, since 12 + 3 + 1 + 96 + 552 + 2 + 0 = 666.

12319655220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3880293264 + 8439361956 = 62292^2 + 91866^2 .

It is a super-3 number, since 3×123196552203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1485004 + ... + 1493276.

Almost surely, 212319655220 is an apocalyptic number.

12319655220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12319655220 is an abundant number, since it is smaller than the sum of its proper divisors (25054483218).

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

12319655220 is an frugal number, since it uses more digits than its factorization.

12319655220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16561 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12319655220 in words is "twelve billion, three hundred nineteen million, six hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8273 16546 24819 33092 41365 49638 74457 82730 99276 124095 148914 165460 248190 297828 372285 496380 744570 1489140 68442529 136885058 205327587 273770116 342212645 410655174 615982761 684425290 821310348 1026637935 1231965522 1368850580 2053275870 2463931044 3079913805 4106551740 6159827610 12319655220