Search a number
-
+
10121241442 = 21319371573527
BaseRepresentation
bin10010110110100010…
…11110001101100010
3222010100220100010011
421123101132031202
5131212014211232
64352153155134
7505546063354
oct113321361542
928110810104
1010121241442
1143241a4554
121b656bbaaa
13c53b5a480
146c02c30d4
153e385b547
hex25b45e362

10121241442 has 64 divisors (see below), whose sum is σ = 17792974080. Its totient is φ = 4277235456.

The previous prime is 10121241419. The next prime is 10121241443. The reversal of 10121241442 is 24414212101.

10121241442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10121241443) 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 31 ways as a sum of consecutive naturals, for example, 2867883 + ... + 2871409.

It is an arithmetic number, because the mean of its divisors is an integer number (278015220).

Almost surely, 210121241442 is an apocalyptic number.

10121241442 is a deficient number, since it is larger than the sum of its proper divisors (7671732638).

10121241442 is a wasteful number, since it uses less digits than its factorization.

10121241442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10121241442 its reverse (24414212101), we get a palindrome (34535453543).

The spelling of 10121241442 in words is "ten billion, one hundred twenty-one million, two hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 13 19 26 37 38 74 157 247 314 481 494 703 962 1406 2041 2983 3527 4082 5809 5966 7054 9139 11618 18278 38779 45851 67013 75517 77558 91702 110371 130499 134026 151034 220742 260998 553739 871169 1107478 1434823 1696487 1742338 2479481 2869646 3392974 4958962 7198607 10521041 14397214 20488343 21042082 32233253 40976686 64466506 136773533 266348459 273547066 389278517 532696918 778557034 5060620721 10121241442