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1230001300 = 2252112101653
BaseRepresentation
bin100100101010000…
…0101010010010100
310011201110112120201
41021110011102110
510004340020200
6322015110244
742323560423
oct11124052224
93151415521
101230001300
11581338200
122a3b12384
13167a99c28
14b94dd2ba
1572eb4c6a
hex49505494

1230001300 has 54 divisors (see below), whose sum is σ = 2933836094. Its totient is φ = 447268800.

The previous prime is 1230001243. The next prime is 1230001303. The reversal of 1230001300 is 31000321.

It can be written as a sum of positive squares in 3 ways, for example, as 359633296 + 870368004 = 18964^2 + 29502^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230001303) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 38727 + ... + 62926.

Almost surely, 21230001300 is an apocalyptic number.

1230001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230001300 is an abundant number, since it is smaller than the sum of its proper divisors (1703834794).

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

1230001300 is a wasteful number, since it uses less digits than its factorization.

1230001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101689 (or 101671 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1230001300 is about 35071.3743671388. The cubic root of 1230001300 is about 1071.4416471632.

Adding to 1230001300 its reverse (31000321), we get a palindrome (1261001621).

The spelling of 1230001300 in words is "one billion, two hundred thirty million, one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 101653 203306 406612 508265 1016530 1118183 2033060 2236366 2541325 4472732 5082650 5590915 10165300 11181830 12300013 22363660 24600026 27954575 49200052 55909150 61500065 111818300 123000130 246000260 307500325 615000650 1230001300