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1130012001312 = 253103114281149
BaseRepresentation
bin10000011100011001111…
…101101100010000100000
311000000202110221101210220
4100130121331230100200
5122003231033020222
62223041554523040
7144432515346435
oct20343175542040
94000673841726
101130012001312
113a6265351867
12163006896480
13827377b2b2c
143c99b357b8c
151e5da69ab5c
hex10719f6c420

1130012001312 has 48 divisors (see below), whose sum is σ = 2995080379200. Its totient is φ = 373013667072.

The previous prime is 1130012001299. The next prime is 1130012001319. The reversal of 1130012001312 is 2131002100311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1130012001291 and 1130012001300.

It is not an unprimeable number, because it can be changed into a prime (1130012001319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57130687 + ... + 57150462.

It is an arithmetic number, because the mean of its divisors is an integer number (62397507900).

Almost surely, 21130012001312 is an apocalyptic number.

1130012001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1130012001312 is an abundant number, since it is smaller than the sum of its proper divisors (1865068377888).

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

1130012001312 is a wasteful number, since it uses less digits than its factorization.

1130012001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114281265 (or 114281257 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1130012001312 its reverse (2131002100311), we get a palindrome (3261014101623).

The spelling of 1130012001312 in words is "one trillion, one hundred thirty billion, twelve million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 114281149 228562298 342843447 457124596 685686894 914249192 1371373788 1828498384 2742747576 3656996768 5485495152 10970990304 11770958347 23541916694 35312875041 47083833388 70625750082 94167666776 141251500164 188335333552 282503000328 376670667104 565006000656 1130012001312