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2300102100 = 2232522555669
BaseRepresentation
bin1000100100011000…
…1100010111010100
312221022001021220200
42021012030113110
514202311231400
61020123100500
7110666355012
oct21106142724
95838037820
102300102100
11a8039082a
12542371730
132a86ac77a
1417b6978b2
15d6de1b00
hex8918c5d4

2300102100 has 54 divisors (see below), whose sum is σ = 7209545070. Its totient is φ = 613360320.

The previous prime is 2300102093. The next prime is 2300102107. The reversal of 2300102100 is 12010032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2300102093) and next prime (2300102107).

It can be written as a sum of positive squares in 3 ways, for example, as 7033104 + 2293068996 = 2652^2 + 47886^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1276935 + ... + 1278734.

Almost surely, 22300102100 is an apocalyptic number.

2300102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300102100 is an abundant number, since it is smaller than the sum of its proper divisors (4909442970).

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

2300102100 is a wasteful number, since it uses less digits than its factorization.

2300102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555689 (or 2555679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2300102100 is about 47959.3796873980. The cubic root of 2300102100 is about 1320.0256537714.

Adding to 2300102100 its reverse (12010032), we get a palindrome (2312112132).

The spelling of 2300102100 in words is "two billion, three hundred million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2555669 5111338 7667007 10222676 12778345 15334014 23001021 25556690 30668028 38335035 46002042 51113380 63891725 76670070 92004084 115005105 127783450 153340140 191675175 230010210 255566900 383350350 460020420 575025525 766700700 1150051050 2300102100