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4120133022 = 2321725752391
BaseRepresentation
bin1111010110010100…
…0011110110011110
3101122010202102222100
43311211003312132
531414223224042
61520500425530
7204046360425
oct36545036636
911563672870
104120133022
111824786a15
1296b9a82a6
13508794045
142b12a62bc
15191aa524c
hexf5943d9e

4120133022 has 48 divisors (see below), whose sum is σ = 9489029472. Its totient is φ = 1287536640.

The previous prime is 4120132987. The next prime is 4120133029. The reversal of 4120133022 is 2203310214.

It is a super-2 number, since 2×41201330222 = 33950992237949704968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4120132986 and 4120133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120133029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52447 + ... + 104837.

It is an arithmetic number, because the mean of its divisors is an integer number (197688114).

Almost surely, 24120133022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120133022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744514736).

4120133022 is an abundant number, since it is smaller than the sum of its proper divisors (5368896450).

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

4120133022 is a wasteful number, since it uses less digits than its factorization.

4120133022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52673 (or 52670 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4120133022 is about 64188.2623382188. The cubic root of 4120133022 is about 1603.1361693327.

Adding to 4120133022 its reverse (2203310214), we get a palindrome (6323443236).

The spelling of 4120133022 in words is "four billion, one hundred twenty million, one hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 257 306 514 771 1542 2313 4369 4626 8738 13107 26214 39321 52391 78642 104782 157173 314346 471519 890647 943038 1781294 2671941 5343882 8015823 13464487 16031646 26928974 40393461 80786922 121180383 228896279 242360766 457792558 686688837 1373377674 2060066511 4120133022