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134201100 = 223521123697
BaseRepresentation
bin1111111111110…
…11111100001100
3100100112010022010
413333323330030
5233323413400
621152221220
73216455565
oct777737414
9310463263
10134201100
1169831300
1238b3a810
1321a59a47
1413b7516c
15bbad450
hex7ffbf0c

134201100 has 108 divisors (see below), whose sum is σ = 426911912. Its totient is φ = 32524800.

The previous prime is 134201051. The next prime is 134201107. The reversal of 134201100 is 1102431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (134201107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34452 + ... + 38148.

Almost surely, 2134201100 is an apocalyptic number.

134201100 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 134201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213455956).

134201100 is an abundant number, since it is smaller than the sum of its proper divisors (292710812).

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

134201100 is a wasteful number, since it uses less digits than its factorization.

134201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 134201100 is about 11584.5198433081. The cubic root of 134201100 is about 511.9788555314.

Adding to 134201100 its reverse (1102431), we get a palindrome (135303531).

The spelling of 134201100 in words is "one hundred thirty-four million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 3697 6050 7260 7394 9075 11091 12100 14788 18150 18485 22182 36300 36970 40667 44364 55455 73940 81334 92425 110910 122001 162668 184850 203335 221820 244002 277275 369700 406670 447337 488004 554550 610005 813340 894674 1016675 1109100 1220010 1342011 1789348 2033350 2236685 2440020 2684022 3050025 4066700 4473370 5368044 6100050 6710055 8946740 11183425 12200100 13420110 22366850 26840220 33550275 44733700 67100550 134201100