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11725313210 = 25133110128807
BaseRepresentation
bin10101110101110001…
…00001010010111010
31010021011020121220122
422322320201102322
5143003140010320
65215254053242
7563364342422
oct127270412272
933234217818
1011725313210
114a776a73a6
12233294a222
13114b28a670
147d3357482
154895b1d25
hex2bae214ba

11725313210 has 64 divisors (see below), whose sum is σ = 23695386624. Its totient is φ = 4148064000.

The previous prime is 11725313177. The next prime is 11725313213. The reversal of 11725313210 is 1231352711.

11725313210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11725313210.

It is not an unprimeable number, because it can be changed into a prime (11725313213) 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 31 ways as a sum of consecutive naturals, for example, 392627 + ... + 421433.

It is an arithmetic number, because the mean of its divisors is an integer number (370240416).

Almost surely, 211725313210 is an apocalyptic number.

11725313210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11725313210 is an abundant number, since it is smaller than the sum of its proper divisors (11970073414).

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

11725313210 is a wasteful number, since it uses less digits than its factorization.

11725313210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28959.

The product of its (nonzero) digits is 1260, while the sum is 26.

Adding to 11725313210 its reverse (1231352711), we get a palindrome (12956665921).

The spelling of 11725313210 in words is "eleven billion, seven hundred twenty-five million, three hundred thirteen thousand, two hundred ten".

Divisors: 1 2 5 10 13 26 31 62 65 101 130 155 202 310 403 505 806 1010 1313 2015 2626 3131 4030 6262 6565 13130 15655 28807 31310 40703 57614 81406 144035 203515 288070 374491 407030 748982 893017 1786034 1872455 2909507 3744910 4465085 5819014 8930170 11609221 14547535 23218442 29095070 37823591 58046105 75647182 90194717 116092210 180389434 189117955 378235910 450973585 901947170 1172531321 2345062642 5862656605 11725313210