Search a number
-
+
1300121199 = 39135081
BaseRepresentation
bin100110101111110…
…0100011001101111
310100121102000000000
41031133210121233
510130312334244
6333002035343
744134563546
oct11537443157
93317360000
101300121199
11607980333
123034a8b53
1317947b1b0
14c495315d
1579216169
hex4d7e466f

1300121199 has 40 divisors (see below), whose sum is σ = 2100573552. Its totient is φ = 799917120.

The previous prime is 1300121197. The next prime is 1300121203. The reversal of 1300121199 is 9911210031.

It is not a de Polignac number, because 1300121199 - 21 = 1300121197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300121197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253339 + ... + 258419.

Almost surely, 21300121199 is an apocalyptic number.

1300121199 is a deficient number, since it is larger than the sum of its proper divisors (800452353).

1300121199 is an frugal number, since it uses more digits than its factorization.

1300121199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 1300121199 is about 36057.1934431952. The cubic root of 1300121199 is about 1091.4267988600.

The spelling of 1300121199 in words is "one billion, three hundred million, one hundred twenty-one thousand, one hundred ninety-nine".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 2187 3159 5081 6561 9477 15243 19683 28431 45729 66053 85293 137187 198159 255879 411561 594477 1234683 1783431 3704049 5350293 11112147 16050879 33336441 48152637 100009323 144457911 433373733 1300121199