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2513231120 = 24541766229
BaseRepresentation
bin1001010111001100…
…1101110100010000
320111011002100222002
42111303031310100
520121341343440
61053215133132
7116165053301
oct22563156420
96434070862
102513231120
11107a720814
125a18141a8
133108b290a
1419bad67a8
15ea991115
hex95ccdd10

2513231120 has 40 divisors (see below), whose sum is σ = 5985788760. Its totient is φ = 980771840.

The previous prime is 2513231117. The next prime is 2513231131. The reversal of 2513231120 is 211323152.

It can be written as a sum of positive squares in 4 ways, for example, as 414736 + 2512816384 = 644^2 + 50128^2 .

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 2513231092 and 2513231101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379835 + ... + 386394.

It is an arithmetic number, because the mean of its divisors is an integer number (149644719).

Almost surely, 22513231120 is an apocalyptic number.

2513231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513231120 is an abundant number, since it is smaller than the sum of its proper divisors (3472557640).

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

2513231120 is a wasteful number, since it uses less digits than its factorization.

2513231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766283 (or 766277 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2513231120 is about 50132.1365991915. The cubic root of 2513231120 is about 1359.5989157513.

Adding to 2513231120 its reverse (211323152), we get a palindrome (2724554272).

The spelling of 2513231120 in words is "two billion, five hundred thirteen million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 766229 1532458 3064916 3831145 6129832 7662290 12259664 15324580 30649160 31415389 61298320 62830778 125661556 157076945 251323112 314153890 502646224 628307780 1256615560 2513231120