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11261254230 = 235518312531
BaseRepresentation
bin10100111110011100…
…10001101001010110
31002001211000222200000
422133032101221112
5141030340113410
65101235432130
7546031036662
oct123716215126
932054028600
1011261254230
114859758a86
122223455646
1310a60aa755
1478b8798a2
1545d997dc0
hex29f391a56

11261254230 has 96 divisors (see below), whose sum is σ = 30392264448. Its totient is φ = 3000175200.

The previous prime is 11261254171. The next prime is 11261254237. The reversal of 11261254230 is 3245216211.

11261254230 is a `hidden beast` number, since 1 + 1 + 2 + 612 + 5 + 42 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11261254194 and 11261254203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261254237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4448065 + ... + 4450595.

It is an arithmetic number, because the mean of its divisors is an integer number (316586088).

Almost surely, 211261254230 is an apocalyptic number.

11261254230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11261254230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15196132224).

11261254230 is an abundant number, since it is smaller than the sum of its proper divisors (19131010218).

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

11261254230 is a wasteful number, since it uses less digits than its factorization.

11261254230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11261254230 in words is "eleven billion, two hundred sixty-one million, two hundred fifty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 1831 2430 2531 3662 5062 5493 7593 9155 10986 12655 15186 16479 18310 22779 25310 27465 32958 37965 45558 49437 54930 68337 75930 82395 98874 113895 136674 148311 164790 205011 227790 247185 296622 341685 410022 444933 494370 615033 683370 741555 889866 1025055 1230066 1483110 2050110 2224665 3075165 4449330 4634261 6150330 9268522 13902783 23171305 27805566 41708349 46342610 69513915 83416698 125125047 139027830 208541745 250250094 375375141 417083490 625625235 750750282 1126125423 1251250470 1876875705 2252250846 3753751410 5630627115 11261254230