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1312132200 = 2335213915733
BaseRepresentation
bin100111000110101…
…1000110001101000
310101110000012222220
41032031120301220
510141401212300
6334111314040
744341640211
oct11615306150
93343005886
101312132200
11613734385
1230751b920
1317bac51b2
14c639c408
157a2d9da0
hex4e358c68

1312132200 has 96 divisors (see below), whose sum is σ = 4097133600. Its totient is φ = 347362560.

The previous prime is 1312132177. The next prime is 1312132207. The reversal of 1312132200 is 22312131.

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 1312132200.

It is not an unprimeable number, because it can be changed into a prime (1312132207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75534 + ... + 91266.

It is an arithmetic number, because the mean of its divisors is an integer number (42678475).

Almost surely, 21312132200 is an apocalyptic number.

1312132200 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 1312132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048566800).

1312132200 is an abundant number, since it is smaller than the sum of its proper divisors (2785001400).

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

1312132200 is a wasteful number, since it uses less digits than its factorization.

1312132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15891 (or 15882 counting only the distinct ones).

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

The square root of 1312132200 is about 36223.3653875506. The cubic root of 1312132200 is about 1094.7775032179. Note that the first 3 decimals are identical.

Adding to 1312132200 its reverse (22312131), we get a palindrome (1334444331).

The spelling of 1312132200 in words is "one billion, three hundred twelve million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 139 150 200 278 300 417 556 600 695 834 1112 1390 1668 2085 2780 3336 3475 4170 5560 6950 8340 10425 13900 15733 16680 20850 27800 31466 41700 47199 62932 78665 83400 94398 125864 157330 188796 235995 314660 377592 393325 471990 629320 786650 943980 1179975 1573300 1887960 2186887 2359950 3146600 4373774 4719900 6560661 8747548 9439800 10934435 13121322 17495096 21868870 26242644 32803305 43737740 52485288 54672175 65606610 87475480 109344350 131213220 164016525 218688700 262426440 328033050 437377400 656066100 1312132200