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13110412412000 = 255311587282869
BaseRepresentation
bin1011111011001000000101…
…1110011000010001100000
31201102100021011221012120002
42332302001132120101200
53204300111034141000
643514501301435132
72522124145540241
oct276620136302140
951370234835502
1013110412412000
1141a5105023072
121578a7670baa8
137413ca751297
14334793cc0cc8
1517b072a958d5
hexbec81798460

13110412412000 has 96 divisors (see below), whose sum is σ = 32215177219680. Its totient is φ = 5243693836800.

The previous prime is 13110412411963. The next prime is 13110412412017. The reversal of 13110412412000 is 21421401131.

It is a super-2 number, since 2×131104124120002 (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 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, 46206566 + ... + 46489434.

It is an arithmetic number, because the mean of its divisors is an integer number (335574762705).

Almost surely, 213110412412000 is an apocalyptic number.

13110412412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110412412000 is an abundant number, since it is smaller than the sum of its proper divisors (19104764807680).

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

13110412412000 is a wasteful number, since it uses less digits than its factorization.

13110412412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294481 (or 294463 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 13110412412000 its reverse (21421401131), we get a palindrome (13131833813131).

The spelling of 13110412412000 in words is "thirteen trillion, one hundred ten billion, four hundred twelve million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 11587 23174 46348 57935 92696 115870 185392 231740 282869 289675 370784 463480 565738 579350 926960 1131476 1158700 1414345 1448375 1853920 2262952 2317400 2828690 2896750 4525904 4634800 5657380 5793500 7071725 9051808 9269600 11314760 11587000 14143450 22629520 23174000 28286900 35358625 45259040 46348000 56573800 70717250 113147600 141434500 226295200 282869000 565738000 1131476000 3277603103 6555206206 13110412412 16388015515 26220824824 32776031030 52441649648 65552062060 81940077575 104883299296 131104124120 163880155150 262208248240 327760310300 409700387875 524416496480 655520620600 819400775750 1311041241200 1638801551500 2622082482400 3277603103000 6555206206000 13110412412000