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10131114011240 = 2352311012080447
BaseRepresentation
bin1001001101101101010101…
…1100111010101001101000
31022212112011202101010120202
42103123111130322221220
52311442010141324430
633314100341211332
72063643310141655
oct223332534725150
938775152333522
1010131114011240
1132566438182a2
121177589700b48
1358648aa782b1
142704c4542c2c
151288009a8d45
hex936d573aa68

10131114011240 has 32 divisors (see below), whose sum is σ = 23786093767680. Its totient is φ = 3876252316992.

The previous prime is 10131114011209. The next prime is 10131114011243. The reversal of 10131114011240 is 4211041113101.

It is a super-2 number, since 2×101311140112402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10131114011243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5506039304 + ... + 5506041143.

It is an arithmetic number, because the mean of its divisors is an integer number (743315430240).

Almost surely, 210131114011240 is an apocalyptic number.

10131114011240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131114011240 is an abundant number, since it is smaller than the sum of its proper divisors (13654979756440).

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

10131114011240 is a wasteful number, since it uses less digits than its factorization.

10131114011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11012080481 (or 11012080477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 10131114011240 its reverse (4211041113101), we get a palindrome (14342155124341).

The spelling of 10131114011240 in words is "ten trillion, one hundred thirty-one billion, one hundred fourteen million, eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 11012080447 22024160894 44048321788 55060402235 88096643576 110120804470 220241608940 253277850281 440483217880 506555700562 1013111401124 1266389251405 2026222802248 2532778502810 5065557005620 10131114011240