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1301132200 = 235222928409
BaseRepresentation
bin100110110001101…
…1011001110101000
310100200022100211111
41031203123032220
510131042212300
6333035440104
744146304224
oct11543331650
93320270744
101301132200
11608500975
123038b6034
13179743414
14c4b37784
15793659ba
hex4d8db3a8

1301132200 has 48 divisors (see below), whose sum is σ = 3038449500. Its totient is φ = 518161920.

The previous prime is 1301132143. The next prime is 1301132221. The reversal of 1301132200 is 22311031.

It can be written as a sum of positive squares in 6 ways, for example, as 893172996 + 407959204 = 29886^2 + 20198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31596 + ... + 60004.

Almost surely, 21301132200 is an apocalyptic number.

1301132200 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 1301132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519224750).

1301132200 is an abundant number, since it is smaller than the sum of its proper divisors (1737317300).

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

1301132200 is a wasteful number, since it uses less digits than its factorization.

1301132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28654 (or 28645 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1301132200 is about 36071.2101266370. The cubic root of 1301132200 is about 1091.7096308739.

Adding to 1301132200 its reverse (22311031), we get a palindrome (1323443231).

The spelling of 1301132200 in words is "one billion, three hundred one million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 916 1145 1832 2290 4580 5725 9160 11450 22900 28409 45800 56818 113636 142045 227272 284090 568180 710225 1136360 1420450 2840900 5681800 6505661 13011322 26022644 32528305 52045288 65056610 130113220 162641525 260226440 325283050 650566100 1301132200