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1331030200 = 235221131541
BaseRepresentation
bin100111101010101…
…1110100010111000
310102202120100011211
41033111132202320
510211220431300
6340024332504
744661366343
oct11725364270
93382510154
101331030200
11623371765
12311914134
131829b0b46
14c8abb45a
157bcbe4ba
hex4f55e8b8

1331030200 has 48 divisors (see below), whose sum is σ = 3109410360. Its totient is φ = 529872000.

The previous prime is 1331030189. The next prime is 1331030201. The reversal of 1331030200 is 20301331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331030201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26430 + ... + 57970.

Almost surely, 21331030200 is an apocalyptic number.

1331030200 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 1331030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554705180).

1331030200 is an abundant number, since it is smaller than the sum of its proper divisors (1778380160).

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

1331030200 is a wasteful number, since it uses less digits than its factorization.

1331030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31768 (or 31759 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1331030200 is about 36483.2865844074. The cubic root of 1331030200 is about 1100.0083194963.

Adding to 1331030200 its reverse (20301331), we get a palindrome (1351331531).

The spelling of 1331030200 in words is "one billion, three hundred thirty-one million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1688 2110 4220 5275 8440 10550 21100 31541 42200 63082 126164 157705 252328 315410 630820 788525 1261640 1577050 3154100 6308200 6655151 13310302 26620604 33275755 53241208 66551510 133103020 166378775 266206040 332757550 665515100 1331030200