Search a number
-
+
134322100 = 225211217653
BaseRepresentation
bin10000000000110…
…01011110110100
3100100202021021121
420000121132310
5233341301400
621154553324
73220501423
oct1000313664
9310667247
10134322100
1169904200
1238b98844
1321a9cb43
1413ba72ba
15bbd421a
hex80197b4

134322100 has 108 divisors (see below), whose sum is σ = 339751692. Its totient is φ = 45900800.

The previous prime is 134322079. The next prime is 134322103. The reversal of 134322100 is 1223431.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2439844 + 131882256 = 1562^2 + 11484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134322103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205374 + ... + 206026.

It is an arithmetic number, because the mean of its divisors is an integer number (3145849).

Almost surely, 2134322100 is an apocalyptic number.

134322100 is a gapful number since it is divisible by the number (10) 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 134322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169875846).

134322100 is an abundant number, since it is smaller than the sum of its proper divisors (205429592).

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

134322100 is a wasteful number, since it uses less digits than its factorization.

134322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 134322100 is about 11589.7411532786. The cubic root of 134322100 is about 512.1326814745.

Adding to 134322100 its reverse (1223431), we get a palindrome (135545531).

The spelling of 134322100 in words is "one hundred thirty-four million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 121 170 187 220 242 275 340 374 425 484 550 605 653 748 850 935 1100 1210 1306 1700 1870 2057 2420 2612 3025 3265 3740 4114 4675 6050 6530 7183 8228 9350 10285 11101 12100 13060 14366 16325 18700 20570 22202 28732 32650 35915 41140 44404 51425 55505 65300 71830 79013 102850 111010 122111 143660 158026 179575 205700 222020 244222 277525 316052 359150 395065 488444 555050 610555 718300 790130 1110100 1221110 1343221 1580260 1975325 2442220 2686442 3052775 3950650 5372884 6105550 6716105 7901300 12211100 13432210 26864420 33580525 67161050 134322100