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3133301430 = 235722765729
BaseRepresentation
bin1011101011000010…
…0110001010110110
322002100212012112010
42322300212022312
522404111121210
61234525305050
7140434423410
oct27260461266
98070765463
103133301430
111368737816
12735405186
133ac1b791c
1421a1c59b0
15135125920
hexbac262b6

3133301430 has 64 divisors (see below), whose sum is σ = 8632189440. Its totient is φ = 713017344.

The previous prime is 3133301429. The next prime is 3133301441. The reversal of 3133301430 is 341033313.

3133301430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3133301397 and 3133301406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14806 + ... + 80534.

It is an arithmetic number, because the mean of its divisors is an integer number (134877960).

Almost surely, 23133301430 is an apocalyptic number.

3133301430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133301430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316094720).

3133301430 is an abundant number, since it is smaller than the sum of its proper divisors (5498888010).

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

3133301430 is a wasteful number, since it uses less digits than its factorization.

3133301430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65973.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3133301430 is about 55975.9004393855. The cubic root of 3133301430 is about 1463.3023126462.

Adding to 3133301430 its reverse (341033313), we get a palindrome (3474334743).

The spelling of 3133301430 in words is "three billion, one hundred thirty-three million, three hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 227 454 681 1135 1362 1589 2270 3178 3405 4767 6810 7945 9534 15890 23835 47670 65729 131458 197187 328645 394374 460103 657290 920206 985935 1380309 1971870 2300515 2760618 4601030 6901545 13803090 14920483 29840966 44761449 74602415 89522898 104443381 149204830 208886762 223807245 313330143 447614490 522216905 626660286 1044433810 1566650715 3133301430