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1023131213130 = 235132623413367
BaseRepresentation
bin11101110001101110101…
…11110101110101001010
310121210212202212210122110
432320313113311311022
5113230333042310010
62102004152403150
7133630100551125
oct16706727656512
93553782783573
101023131213130
113649a8995764
121463586a64b6
13756335a96c0
143773c52d3bc
151b932344120
hexee375f5d4a

1023131213130 has 32 divisors (see below), whose sum is σ = 2644400674944. Its totient is φ = 251847683136.

The previous prime is 1023131213129. The next prime is 1023131213131. The reversal of 1023131213130 is 313121313201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1023131213129) and next prime (1023131213131).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023131213097 and 1023131213106.

It is not an unprimeable number, because it can be changed into a prime (1023131213131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311706294 + ... + 1311707073.

It is an arithmetic number, because the mean of its divisors is an integer number (82637521092).

Almost surely, 21023131213130 is an apocalyptic number.

1023131213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023131213130 is an abundant number, since it is smaller than the sum of its proper divisors (1621269461814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023131213130 is a wasteful number, since it uses less digits than its factorization.

1023131213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623413390.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1023131213130 its reverse (313121313201), we get a palindrome (1336252526331).

The spelling of 1023131213130 in words is "one trillion, twenty-three billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 2623413367 5246826734 7870240101 13117066835 15740480202 26234133670 34104373771 39351200505 68208747542 78702401010 102313121313 170521868855 204626242626 341043737710 511565606565 1023131213130