Search a number
-
+
1201132500 = 22354198429
BaseRepresentation
bin100011110010111…
…1101001111010100
310002201010212000220
41013211331033110
54424442220000
6315104234340
741523313011
oct10745751724
93081125026
101201132500
1156700a697
1229630b9b0
13161accab9
14b5746708
15706b11a0
hex4797d3d4

1201132500 has 120 divisors (see below), whose sum is σ = 3686944800. Its totient is φ = 303408000.

The previous prime is 1201132487. The next prime is 1201132523. The reversal of 1201132500 is 52311021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201132500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138286 + ... + 146714.

It is an arithmetic number, because the mean of its divisors is an integer number (30724540).

Almost surely, 21201132500 is an apocalyptic number.

1201132500 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 1201132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843472400).

1201132500 is an abundant number, since it is smaller than the sum of its proper divisors (2485812300).

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

1201132500 is a wasteful number, since it uses less digits than its factorization.

1201132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1201132500 is about 34657.3585260043. The cubic root of 1201132500 is about 1062.9927587491.

Adding to 1201132500 its reverse (52311021), we get a palindrome (1253443521).

The spelling of 1201132500 in words is "one billion, two hundred one million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 625 750 950 1140 1250 1425 1500 1875 1900 2375 2500 2850 3750 4750 5700 7125 7500 8429 9500 11875 14250 16858 23750 25287 28500 33716 35625 42145 47500 50574 71250 84290 101148 126435 142500 160151 168580 210725 252870 320302 421450 480453 505740 632175 640604 800755 842900 960906 1053625 1264350 1601510 1921812 2107250 2402265 2528700 3160875 3203020 4003775 4214500 4804530 5268125 6321750 8007550 9609060 10536250 12011325 12643500 15804375 16015100 20018875 21072500 24022650 31608750 40037750 48045300 60056625 63217500 80075500 100094375 120113250 200188750 240226500 300283125 400377500 600566250 1201132500