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330120233303130 = 23256160131190037
BaseRepresentation
bin100101100001111100001101…
…1001111010011110001011010
31121021212012000122210222120100
41023003320123033103301122
5321232142214211200010
63130035050324240230
7126351254061322614
oct11303703317236132
91537765018728510
10330120233303130
11962062285347a6
123103761a240076
1311228287175cca
145b73c940d9db4
1528272b8d252c0
hex12c3e1b3d3c5a

330120233303130 has 48 divisors (see below), whose sum is σ = 872383305071304. Its totient is φ = 86588913651840.

The previous prime is 330120233303111. The next prime is 330120233303233. The reversal of 330120233303130 is 31303332021033.

330120233303130 is a `hidden beast` number, since 3 + 3 + 0 + 12 + 0 + 2 + 3 + 330 + 313 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79863051911769 + 250257181391361 = 8936613^2 + 15819519^2 .

It is a super-2 number, since 2×3301202333031302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330120233303094 and 330120233303103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30065589529 + ... + 30065600508.

Almost surely, 2330120233303130 is an apocalyptic number.

330120233303130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330120233303130 is an abundant number, since it is smaller than the sum of its proper divisors (542263071768174).

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

330120233303130 is a wasteful number, since it uses less digits than its factorization.

330120233303130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60131190111 (or 60131190108 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 330120233303130 its reverse (31303332021033), we get a palindrome (361423565324163).

The spelling of 330120233303130 in words is "three hundred thirty trillion, one hundred twenty billion, two hundred thirty-three million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 60131190037 120262380074 180393570111 300655950185 360787140222 541180710333 601311900370 901967850555 1082361420666 1803935701110 2705903551665 3668002592257 5411807103330 7336005184514 11004007776771 18340012961285 22008015553542 33012023330313 36680025922570 55020038883855 66024046660626 110040077767710 165060116651565 330120233303130