Search a number
-
+
1013120238 = 2313233118217
BaseRepresentation
bin111100011000101…
…111110011101110
32121121100211200210
4330120233303232
54033324321423
6244310403250
734051244214
oct7430576356
92547324623
101013120238
1147a975259
12243360526
13131b82040
14987a4cb4
155de23b93
hex3c62fcee

1013120238 has 64 divisors (see below), whose sum is σ = 2350559232. Its totient is φ = 288541440.

The previous prime is 1013120231. The next prime is 1013120243. The reversal of 1013120238 is 8320213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013120231) 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 31 ways as a sum of consecutive naturals, for example, 46506 + ... + 64722.

It is an arithmetic number, because the mean of its divisors is an integer number (36727488).

Almost surely, 21013120238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013120238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175279616).

1013120238 is an abundant number, since it is smaller than the sum of its proper divisors (1337438994).

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

1013120238 is a wasteful number, since it uses less digits than its factorization.

1013120238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18289.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1013120238 is about 31829.5497611889. The cubic root of 1013120238 is about 1004.3544241357.

Adding to 1013120238 its reverse (8320213101), we get a palindrome (9333333339).

The spelling of 1013120238 in words is "one billion, thirteen million, one hundred twenty thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 13 23 26 31 39 46 62 69 78 93 138 186 299 403 598 713 806 897 1209 1426 1794 2139 2418 4278 9269 18217 18538 27807 36434 54651 55614 109302 236821 418991 473642 564727 710463 837982 1129454 1256973 1420926 1694181 2513946 3388362 5446883 7341451 10893766 12988721 14682902 16340649 22024353 25977442 32681298 38966163 44048706 77932326 168853373 337706746 506560119 1013120238