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134533100 = 225213239433
BaseRepresentation
bin10000000010011…
…00111111101100
3100101010222201102
420001030333230
5233420024400
621203302232
73222340532
oct1001147754
9311128642
10134533100
1169a38789
123907a978
1321b44bb0
1413c20152
15bc269d5
hex804cfec

134533100 has 72 divisors (see below), whose sum is σ = 316438080. Its totient is φ = 49351680.

The previous prime is 134533099. The next prime is 134533103. The reversal of 134533100 is 1335431.

It is a happy number.

It is a super-2 number, since 2×1345331002 = 36198309991220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (134533103) 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 23 ways as a sum of consecutive naturals, for example, 310484 + ... + 310916.

Almost surely, 2134533100 is an apocalyptic number.

134533100 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 134533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158219040).

134533100 is an abundant number, since it is smaller than the sum of its proper divisors (181904980).

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

134533100 is a wasteful number, since it uses less digits than its factorization.

134533100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 134533100 is about 11598.8404592873. The cubic root of 134533100 is about 512.4007025548.

Adding to 134533100 its reverse (1335431), we get a palindrome (135868531).

The spelling of 134533100 in words is "one hundred thirty-four million, five hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 239 260 325 433 478 650 866 956 1195 1300 1732 2165 2390 3107 4330 4780 5629 5975 6214 8660 10825 11258 11950 12428 15535 21650 22516 23900 28145 31070 43300 56290 62140 77675 103487 112580 140725 155350 206974 281450 310700 413948 517435 562900 1034870 1345331 2069740 2587175 2690662 5174350 5381324 6726655 10348700 13453310 26906620 33633275 67266550 134533100