Search a number
-
+
1303101330021 = 34171078844239
BaseRepresentation
bin10010111101100110111…
…001000101001001100101
311121120112101001100020000
4102331212321011021211
5132322222420030041
62434345251531513
7163101031356021
oct22754671051145
94546471040200
101303101330021
11462707802357
12190671bb9b99
1395b6079996a
14470db40b381
1523d6b332bb6
hex12f66e45265

1303101330021 has 40 divisors (see below), whose sum is σ = 2080377509760. Its totient is φ = 809990692992.

The previous prime is 1303101329867. The next prime is 1303101330031. The reversal of 1303101330021 is 1200331013031.

It is a happy number.

1303101330021 is a `hidden beast` number, since 1 + 3 + 0 + 310 + 1 + 330 + 0 + 21 = 666.

It is not a de Polignac number, because 1303101330021 - 225 = 1303067775589 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1303101329976 and 1303101330003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303101330031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4274781 + ... + 4569458.

It is an arithmetic number, because the mean of its divisors is an integer number (52009437744).

Almost surely, 21303101330021 is an apocalyptic number.

It is an amenable number.

1303101330021 is a deficient number, since it is larger than the sum of its proper divisors (777276179739).

1303101330021 is a wasteful number, since it uses less digits than its factorization.

1303101330021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8844375 (or 8844366 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1303101330021 its reverse (1200331013031), we get a palindrome (2503432343052).

The spelling of 1303101330021 in words is "one trillion, three hundred three billion, one hundred one million, three hundred thirty thousand, twenty-one".

Divisors: 1 3 9 17 27 51 81 107 153 321 459 963 1377 1819 2889 5457 8667 16371 49113 147339 8844239 26532717 79598151 150352063 238794453 451056189 716383359 946333573 1353168567 2839000719 4059505701 8517002157 12178517103 16087670741 25551006471 48263012223 76653019413 144789036669 434367110007 1303101330021