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3101023120 = 245132981753
BaseRepresentation
bin1011100011010101…
…1101101110010000
322000010010022000011
42320311131232100
522322330214440
61231413404304
7136563155506
oct27065355620
98003108004
103101023120
1113514a0628
12726639694
133a55c5930
14215bc2676
1513239b9ea
hexb8d5db90

3101023120 has 40 divisors (see below), whose sum is σ = 7764487416. Its totient is φ = 1144992768.

The previous prime is 3101023111. The next prime is 3101023129. The reversal of 3101023120 is 213201013.

It is an interprime number because it is at equal distance from previous prime (3101023111) and next prime (3101023129).

It can be written as a sum of positive squares in 4 ways, for example, as 13220496 + 3087802624 = 3636^2 + 55568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 3101023120.

It is not an unprimeable number, because it can be changed into a prime (3101023129) 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 7 ways as a sum of consecutive naturals, for example, 1489837 + ... + 1491916.

Almost surely, 23101023120 is an apocalyptic number.

It is an amenable number.

3101023120 is an abundant number, since it is smaller than the sum of its proper divisors (4663464296).

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

3101023120 is a wasteful number, since it uses less digits than its factorization.

3101023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981779 (or 2981773 counting only the distinct ones).

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

The square root of 3101023120 is about 55686.8307591660. The cubic root of 3101023120 is about 1458.2601279679.

Adding to 3101023120 its reverse (213201013), we get a palindrome (3314224133).

The spelling of 3101023120 in words is "three billion, one hundred one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2981753 5963506 11927012 14908765 23854024 29817530 38762789 47708048 59635060 77525578 119270120 155051156 193813945 238540240 310102312 387627890 620204624 775255780 1550511560 3101023120