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313102133010 = 232517204641917
BaseRepresentation
bin1001000111001100101…
…01110110011100010010
31002221011121220100100200
410203212111312130102
520112213121224020
6355500453200030
731422651135012
oct4434625663422
91087147810320
10313102133010
11110870a9a7a7
1250821330016
13236aa40cc34
1411223295c42
158227a87590
hex48e6576712

313102133010 has 48 divisors (see below), whose sum is σ = 861951758616. Its totient is φ = 78582495744.

The previous prime is 313102132939. The next prime is 313102133051. The reversal of 313102133010 is 10331201313.

It is a happy number.

313102133010 is a `hidden beast` number, since 3 + 1 + 310 + 21 + 330 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 255399847641 + 57702285369 = 505371^2 + 240213^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 102319429 + ... + 102322488.

Almost surely, 2313102133010 is an apocalyptic number.

313102133010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313102133010 is an abundant number, since it is smaller than the sum of its proper divisors (548849625606).

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

313102133010 is a wasteful number, since it uses less digits than its factorization.

313102133010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204641947 (or 204641944 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313102133010 its reverse (10331201313), we get a palindrome (323433334323).

The spelling of 313102133010 in words is "three hundred thirteen billion, one hundred two million, one hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 204641917 409283834 613925751 1023209585 1227851502 1841777253 2046419170 3069628755 3478912589 3683554506 6139257510 6957825178 9208886265 10436737767 17394562945 18417772530 20873475534 31310213301 34789125890 52183688835 62620426602 104367377670 156551066505 313102133010