Search a number
-
+
1232131200 = 27352128347
BaseRepresentation
bin100100101110000…
…1101010010000000
310011212110202020220
41021130031102000
510010411144300
6322132503040
742350641146
oct11134152200
93155422226
101232131200
11582562453
122a477aa80
13168364521
14b98d5596
1573285da0
hex4970d480

1232131200 has 96 divisors (see below), whose sum is σ = 4058363760. Its totient is φ = 328565760.

The previous prime is 1232131189. The next prime is 1232131211. The reversal of 1232131200 is 21312321.

It is an interprime number because it is at equal distance from previous prime (1232131189) and next prime (1232131211).

It is a tau number, because it is divible by the number of its divisors (96).

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 1232131200.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54574 + ... + 73773.

Almost surely, 21232131200 is an apocalyptic number.

1232131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1232131200 is an abundant number, since it is smaller than the sum of its proper divisors (2826232560).

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

1232131200 is a wasteful number, since it uses less digits than its factorization.

1232131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128374 (or 128357 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1232131200 is about 35101.7264532672. The cubic root of 1232131200 is about 1072.0597352916.

Adding to 1232131200 its reverse (21312321), we get a palindrome (1253443521).

The spelling of 1232131200 in words is "one billion, two hundred thirty-two million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 128347 256694 385041 513388 641735 770082 1026776 1283470 1540164 1925205 2053552 2566940 3080328 3208675 3850410 4107104 5133880 6160656 6417350 7700820 8214208 9626025 10267760 12321312 12834700 15401640 16428416 19252050 20535520 24642624 25669400 30803280 38504100 41071040 49285248 51338800 61606560 77008200 82142080 102677600 123213120 154016400 205355200 246426240 308032800 410710400 616065600 1232131200