Search a number
-
+
1002211412501 = 131941917895413
BaseRepresentation
bin11101001010110000111…
…01001000101000010101
310112210212211120211010202
432211120131020220111
5112410012110200001
62044224244430245
7132256506306545
oct16453035105025
93483784524122
101002211412501
1135704323a932
1214229a6a8385
137367b494950
1436716015325
151b10a98996b
hexe958748a15

1002211412501 has 32 divisors (see below), whose sum is σ = 1139668656000. Its totient is φ = 873685916928.

The previous prime is 1002211412491. The next prime is 1002211412509. The reversal of 1002211412501 is 1052141122001.

It is not a de Polignac number, because 1002211412501 - 210 = 1002211411477 is a prime.

It is a super-3 number, since 3×10022114125013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002211412509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185146271 + ... + 185151683.

It is an arithmetic number, because the mean of its divisors is an integer number (35614645500).

Almost surely, 21002211412501 is an apocalyptic number.

It is an amenable number.

1002211412501 is a deficient number, since it is larger than the sum of its proper divisors (137457243499).

1002211412501 is a wasteful number, since it uses less digits than its factorization.

1002211412501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653.

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 1002211412501 its reverse (1052141122001), we get a palindrome (2054352534502).

The spelling of 1002211412501 in words is "one trillion, two billion, two hundred eleven million, four hundred twelve thousand, five hundred one".

Divisors: 1 13 19 247 419 1789 5413 5447 7961 23257 33991 70369 102847 103493 441883 749591 1337011 2268047 9683857 9744683 14242229 29484611 43092893 125890141 183993283 185148977 560207609 2391912679 4057536083 52747969079 77093185577 1002211412501