Search a number
-
+
3133512120 = 2335107244043
BaseRepresentation
bin1011101011000101…
…1001100110111000
322002101020220112110
42322301121212320
522404134341440
61234534012320
7140436261564
oct27261314670
98071226473
103133512120
111368871042
127354a70a0
133ac25c7ab
1421a23c6a4
15135168080
hexbac599b8

3133512120 has 64 divisors (see below), whose sum is σ = 9488430720. Its totient is φ = 827790464.

The previous prime is 3133512119. The next prime is 3133512127. The reversal of 3133512120 is 212153313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133512127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109182 + ... + 134861.

It is an arithmetic number, because the mean of its divisors is an integer number (148256730).

Almost surely, 23133512120 is an apocalyptic number.

3133512120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3133512120 is an abundant number, since it is smaller than the sum of its proper divisors (6354918600).

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

3133512120 is a wasteful number, since it uses less digits than its factorization.

3133512120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244164 (or 244160 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3133512120 is about 55977.7823783687. The cubic root of 3133512120 is about 1463.3351104540.

Adding to 3133512120 its reverse (212153313), we get a palindrome (3345665433).

The spelling of 3133512120 in words is "three billion, one hundred thirty-three million, five hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 244043 488086 732129 976172 1220215 1464258 1952344 2440430 2928516 3660645 4880860 5857032 7321290 9761720 14642580 26112601 29285160 52225202 78337803 104450404 130563005 156675606 208900808 261126010 313351212 391689015 522252020 626702424 783378030 1044504040 1566756060 3133512120