Search a number
-
+
1023114413331 = 324722736729033
BaseRepresentation
bin11101110001101100101…
…11110000010100010011
310121210211121021021122200
432320312113300110103
5113230314242211311
62102002352334243
7133626505011123
oct16706627602423
93553747237580
101023114413331
1136499a46082a
12146352b44383
137562cc76aaa
143773a1d8c83
151b930b26556
hexee365f0513

1023114413331 has 48 divisors (see below), whose sum is σ = 1520106891264. Its totient is φ = 662789411712.

The previous prime is 1023114413267. The next prime is 1023114413333. The reversal of 1023114413331 is 1333144113201.

1023114413331 is a `hidden beast` number, since 1 + 0 + 2 + 311 + 4 + 4 + 13 + 331 = 666.

It is not a de Polignac number, because 1023114413331 - 26 = 1023114413267 is a prime.

It is a super-2 number, since 2×10231144133312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023114413295 and 1023114413304.

It is not an unprimeable number, because it can be changed into a prime (1023114413333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35225191 + ... + 35254223.

It is an arithmetic number, because the mean of its divisors is an integer number (31668893568).

Almost surely, 21023114413331 is an apocalyptic number.

1023114413331 is a deficient number, since it is larger than the sum of its proper divisors (496992477933).

1023114413331 is a wasteful number, since it uses less digits than its factorization.

1023114413331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29680 (or 29677 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1023114413331 its reverse (1333144113201), we get a palindrome (2356258526532).

The spelling of 1023114413331 in words is "one trillion, twenty-three billion, one hundred fourteen million, four hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 47 141 227 367 423 681 1101 2043 3303 10669 17249 29033 32007 51747 83309 87099 96021 155241 249927 261297 749781 1364551 3915523 4093653 6590491 10655111 11746569 12280959 19771473 31965333 35239707 59314419 95895999 309753077 500790217 929259231 1502370651 2418710197 2787777693 4507111953 7256130591 21768391773 113679379259 341038137777 1023114413331