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13012204023432 = 23327319031130087
BaseRepresentation
bin1011110101011010001111…
…0011000110111010001000
31201001221202212112011011100
42331112203303012322020
53201142443212222212
643401420215101400
72512046355160545
oct275264363067210
951057685464140
1013012204023432
114167498a42179
121561a28971860
13735079185663
1432db18b91bcc
15178725ca8bdc
hexbd5a3cc6e88

13012204023432 has 96 divisors (see below), whose sum is σ = 35726296394880. Its totient is φ = 4277727210240.

The previous prime is 13012204023431. The next prime is 13012204023457. The reversal of 13012204023432 is 23432040221031.

13012204023432 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 204 + 0 + 23 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13012204023396 and 13012204023405.

It is not an unprimeable number, because it can be changed into a prime (13012204023431) 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 23 ways as a sum of consecutive naturals, for example, 99961893 + ... + 100091979.

It is an arithmetic number, because the mean of its divisors is an integer number (372148920780).

Almost surely, 213012204023432 is an apocalyptic number.

13012204023432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13012204023432 is an abundant number, since it is smaller than the sum of its proper divisors (22714092371448).

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

13012204023432 is a wasteful number, since it uses less digits than its factorization.

13012204023432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149203 (or 149196 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13012204023432 its reverse (23432040221031), we get a palindrome (36444244244463).

The spelling of 13012204023432 in words is "thirteen trillion, twelve billion, two hundred four million, twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 19031 38062 57093 76124 114186 130087 152248 171279 228372 260174 342558 390261 456744 520348 685116 780522 1040696 1170783 1370232 1389263 1561044 2341566 2778526 3122088 4167789 4683132 5557052 8335578 9366264 9496351 11114104 12503367 16671156 18992702 25006734 28489053 33342312 37985404 50013468 56978106 75970808 85467159 100026936 113956212 170934318 227912424 341868636 683737272 2475685697 4951371394 7427057091 9902742788 14854114182 19805485576 22281171273 29708228364 44562342546 59416456728 89124685092 178249370184 180725055881 361450111762 542175167643 722900223524 1084350335286 1445800447048 1626525502929 2168700670572 3253051005858 4337401341144 6506102011716 13012204023432