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13200024131112 = 2337136043967093
BaseRepresentation
bin1100000000010101111010…
…1111111101011000101000
31201201220120101012012102210
43000011132233331120220
53212232122134143422
644024001331525120
72531445621561450
oct300053657753050
951656511165383
1013200024131112
11422a10a552a65
1215923054597a0
137499abca6150
14338c553c8d60
1517d569cc610c
hexc015ebfd628

13200024131112 has 64 divisors (see below), whose sum is σ = 40615458871680. Its totient is φ = 3481325044992.

The previous prime is 13200024131003. The next prime is 13200024131123. The reversal of 13200024131112 is 21113142000231.

13200024131112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132000241311122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3021981363 + ... + 3021985730.

It is an arithmetic number, because the mean of its divisors is an integer number (634616544870).

Almost surely, 213200024131112 is an apocalyptic number.

13200024131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13200024131112 is an abundant number, since it is smaller than the sum of its proper divisors (27415434740568).

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

13200024131112 is a wasteful number, since it uses less digits than its factorization.

13200024131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043967122 (or 6043967118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13200024131112 its reverse (21113142000231), we get a palindrome (34313166131343).

The spelling of 13200024131112 in words is "thirteen trillion, two hundred billion, twenty-four million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6043967093 12087934186 18131901279 24175868372 36263802558 42307769651 48351736744 72527605116 78571572209 84615539302 126923308953 145055210232 157143144418 169231078604 235714716627 253846617906 314286288836 338462157208 471429433254 507693235812 550001005463 628572577672 942858866508 1015386471624 1100002010926 1650003016389 1885717733016 2200004021852 3300006032778 4400008043704 6600012065556 13200024131112