Search a number
-
+
1023131213221 = 131783509109583
BaseRepresentation
bin11101110001101110101…
…11110101110110100101
310121210212202212210202211
432320313113311312211
5113230333042310341
62102004152403421
7133630100551315
oct16706727656645
93553782783684
101023131213221
113649a8995837
121463586a6571
13756335a9760
143773c52d445
151b932344181
hexee375f5da5

1023131213221 has 32 divisors (see below), whose sum is σ = 1183033797120. Its totient is φ = 876431576064.

The previous prime is 1023131213201. The next prime is 1023131213233. The reversal of 1023131213221 is 1223121313201.

It is not a de Polignac number, because 1023131213221 - 29 = 1023131212709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023131213192 and 1023131213201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023131213201) 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, 9281796 + ... + 9391378.

It is an arithmetic number, because the mean of its divisors is an integer number (36969806160).

Almost surely, 21023131213221 is an apocalyptic number.

It is an amenable number.

1023131213221 is a deficient number, since it is larger than the sum of its proper divisors (159902583899).

1023131213221 is a wasteful number, since it uses less digits than its factorization.

1023131213221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110205.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1023131213221 its reverse (1223121313201), we get a palindrome (2246252526422).

The spelling of 1023131213221 in words is "one trillion, twenty-three billion, one hundred thirty-one million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 13 17 83 221 509 1079 1411 6617 8653 18343 42247 109583 112489 549211 718199 1424579 1862911 9095389 9336587 24217843 55777747 118240057 154621613 725110711 948221699 2010080969 4629553001 12326882087 60184189013 78702401017 1023131213221