Search a number
-
+
10313202120 = 2335136611027
BaseRepresentation
bin10011001101011011…
…01111100111001000
3222121202002221122220
421212231233213020
5132110134431440
64423211414040
7513366525444
oct114655574710
928552087586
1010313202120
114412596441
121bb9a54320
13c8485b480
146db9b1824
154056288d0
hex266b6f9c8

10313202120 has 64 divisors (see below), whose sum is σ = 33319581120. Its totient is φ = 2538633984.

The previous prime is 10313202113. The next prime is 10313202121. The reversal of 10313202120 is 2120231301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10313202120.

It is not an unprimeable number, because it can be changed into a prime (10313202121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3303954 + ... + 3307073.

It is an arithmetic number, because the mean of its divisors is an integer number (520618455).

Almost surely, 210313202120 is an apocalyptic number.

10313202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313202120 is an abundant number, since it is smaller than the sum of its proper divisors (23006379000).

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

10313202120 is a wasteful number, since it uses less digits than its factorization.

10313202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611054 (or 6611050 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10313202120 its reverse (2120231301), we get a palindrome (12433433421).

The spelling of 10313202120 in words is "ten billion, three hundred thirteen million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 6611027 13222054 19833081 26444108 33055135 39666162 52888216 66110270 79332324 85943351 99165405 132220540 158664648 171886702 198330810 257830053 264441080 343773404 396661620 429716755 515660106 687546808 793323240 859433510 1031320212 1289150265 1718867020 2062640424 2578300530 3437734040 5156601060 10313202120