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13000012222122 = 2324753674327357
BaseRepresentation
bin1011110100101100110100…
…0111000100111010101010
31201000210022012111110212200
42331023031013010322222
53200443011112101442
643352042334321030
72511135264444402
oct275131507047252
951023265443780
1013000012222122
114162301a98422
12155b5a5959176
13733b85377543
1432d2bd8c7802
1517826079d34c
hexbd2cd1c4eaa

13000012222122 has 96 divisors (see below), whose sum is σ = 29746189654272. Its totient is φ = 4099010078592.

The previous prime is 13000012222103. The next prime is 13000012222139. The reversal of 13000012222122 is 22122221000031.

13000012222122 is a `hidden beast` number, since 1 + 300 + 0 + 0 + 122 + 221 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13000012222095 and 13000012222104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 840468 + ... + 5167824.

It is an arithmetic number, because the mean of its divisors is an integer number (309856142232).

Almost surely, 213000012222122 is an apocalyptic number.

13000012222122 is an abundant number, since it is smaller than the sum of its proper divisors (16746177432150).

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

13000012222122 is a wasteful number, since it uses less digits than its factorization.

13000012222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327532 (or 4327529 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13000012222122 its reverse (22122221000031), we get a palindrome (35122233222153).

The spelling of 13000012222122 in words is "thirteen trillion, twelve million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 47 53 67 94 106 134 141 159 201 282 318 402 423 477 603 846 954 1206 2491 3149 3551 4982 6298 7102 7473 9447 10653 14946 18894 21306 22419 28341 31959 44838 56682 63918 166897 333794 500691 1001382 1502073 3004146 4327357 8654714 12982071 25964142 38946213 77892426 203385779 229349921 289932919 406771558 458699842 579865838 610157337 688049763 869798757 1220314674 1376099526 1739597514 1830472011 2064149289 2609396271 3660944022 4128298578 5218792542 10779446287 13626847193 15366444707 21558892574 27253694386 30732889414 32338338861 40880541579 46099334121 64676677722 81761083158 92198668242 97015016583 122641624737 138298002363 194030033166 245283249474 276596004726 722222901229 1444445802458 2166668703687 4333337407374 6500006111061 13000012222122