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12130344131000 = 235339730555023
BaseRepresentation
bin1011000010000101000011…
…0110100101100110111000
31120221122112112120000101212
42300201100312211212320
53042220421044143000
641444334141102252
72361250143601154
oct260412066454670
946848475500355
1012130344131000
1139574a502a717
12143ab37857988
1369cb6a974114
142dd17ca68064
151608110adc35
hexb0850da59b8

12130344131000 has 64 divisors (see below), whose sum is σ = 28456504951680. Its totient is φ = 4839915484800.

The previous prime is 12130344130999. The next prime is 12130344131021. The reversal of 12130344131000 is 13144303121.

It is a super-2 number, since 2×121303441310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14880512 + ... + 15674511.

It is an arithmetic number, because the mean of its divisors is an integer number (444632889870).

Almost surely, 212130344131000 is an apocalyptic number.

12130344131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130344131000 is an abundant number, since it is smaller than the sum of its proper divisors (16326160820680).

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

12130344131000 is a wasteful number, since it uses less digits than its factorization.

12130344131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30555441 (or 30555427 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12130344131000 its reverse (13144303121), we get a palindrome (12143488434121).

The spelling of 12130344131000 in words is "twelve trillion, one hundred thirty billion, three hundred forty-four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 397 500 794 1000 1588 1985 3176 3970 7940 9925 15880 19850 39700 49625 79400 99250 198500 397000 30555023 61110046 122220092 152775115 244440184 305550230 611100460 763875575 1222200920 1527751150 3055502300 3819377875 6111004600 7638755750 12130344131 15277511500 24260688262 30555023000 48521376524 60651720655 97042753048 121303441310 242606882620 303258603275 485213765240 606517206550 1213034413100 1516293016375 2426068826200 3032586032750 6065172065500 12130344131000