Search a number
-
+
1002441143121 = 3112319933120051
BaseRepresentation
bin11101001011001100010…
…01011111001101010001
310112211110211212100022020
432211212021133031101
5112410444413034441
62044303132402053
7132265266061245
oct16454611371521
93484424770266
101002441143121
11357150989950
12142343616329
13736b6c5b422
1436738736425
151b120c17e66
hexe96625f351

1002441143121 has 64 divisors (see below), whose sum is σ = 1533833625600. Its totient is φ = 576429480000.

The previous prime is 1002441143083. The next prime is 1002441143129. The reversal of 1002441143121 is 1213411442001.

It is a happy number.

It is not a de Polignac number, because 1002441143121 - 230 = 1001367401297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002441143091 and 1002441143100.

It is not an unprimeable number, because it can be changed into a prime (1002441143129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49984546 + ... + 50004596.

It is an arithmetic number, because the mean of its divisors is an integer number (23966150400).

Almost surely, 21002441143121 is an apocalyptic number.

1002441143121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002441143121 is a deficient number, since it is larger than the sum of its proper divisors (531392482479).

1002441143121 is a wasteful number, since it uses less digits than its factorization.

1002441143121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20618.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1002441143121 its reverse (1213411442001), we get a palindrome (2215852585122).

The spelling of 1002441143121 in words is "one trillion, two billion, four hundred forty-one million, one hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 3 11 23 33 69 199 253 331 597 759 993 2189 3641 4577 6567 7613 10923 13731 20051 22839 50347 60153 65869 83743 151041 197607 220561 251229 461173 661683 724559 1383519 1514987 2173677 3990149 4544961 5072903 6636881 11970447 15218709 16664857 19910643 43891639 49994571 73005691 91773427 131674917 152648263 219017073 275320281 457944789 1009507697 1320739319 1679130893 3028523091 3962217957 5037392679 14528132509 30377004337 43584397527 91131013011 334147047707 1002441143121