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134222325312 = 2635385715391
BaseRepresentation
bin111110100000001000…
…1100010011001000000
3110211110011222121001210
41331000101202121000
54144341403402222
6141354430130120
712461103640455
oct1750021423100
9424404877053
10134222325312
1151a18004689
122201a950940
13c87089918a
1466d417382c
1537588a2d0c
hex1f40462640

134222325312 has 112 divisors (see below), whose sum is σ = 362276209152. Its totient is φ = 43842539520.

The previous prime is 134222325301. The next prime is 134222325313. The reversal of 134222325312 is 213523222431.

It is a super-2 number, since 2×1342223253122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134222325312.

It is not an unprimeable number, because it can be changed into a prime (134222325313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8713137 + ... + 8728527.

Almost surely, 2134222325312 is an apocalyptic number.

134222325312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134222325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181138104576).

134222325312 is an abundant number, since it is smaller than the sum of its proper divisors (228053883840).

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

134222325312 is a wasteful number, since it uses less digits than its factorization.

134222325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316 (or 16306 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 134222325312 its reverse (213523222431), we get a palindrome (347745547743).

The spelling of 134222325312 in words is "one hundred thirty-four billion, two hundred twenty-two million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 857 1272 1696 1714 2544 2571 3392 3428 5088 5142 6856 10176 10284 13712 15391 20568 27424 30782 41136 45421 46173 54848 61564 82272 90842 92346 123128 136263 164544 181684 184692 246256 272526 363368 369384 492512 545052 726736 738768 815723 985024 1090104 1453472 1477536 1631446 2180208 2447169 2906944 2955072 3262892 4360416 4894338 6525784 8720832 9788676 13051568 13190087 19577352 26103136 26380174 39154704 39570261 52206272 52760348 78309408 79140522 105520696 156618816 158281044 211041392 316562088 422082784 633124176 699074611 844165568 1266248352 1398149222 2097223833 2532496704 2796298444 4194447666 5592596888 8388895332 11185193776 16777790664 22370387552 33555581328 44740775104 67111162656 134222325312