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11130212232 = 2332973374729
BaseRepresentation
bin10100101110110100…
…11000111110001000
31001201200110100211200
422113122120332020
5140243313242412
65040235024200
7542550146226
oct122732307610
931650410750
1011130212232
1147a1795207
1221a759b060
131084bb88c9
147782c7b16
154522109dc
hex297698f88

11130212232 has 96 divisors (see below), whose sum is σ = 30551921400. Its totient is φ = 3660152832.

The previous prime is 11130212207. The next prime is 11130212237. The reversal of 11130212232 is 23221203111.

11130212232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4753550916 + 6376661316 = 68946^2 + 79854^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11130212237) 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 23 ways as a sum of consecutive naturals, for example, 2351244 + ... + 2355972.

Almost surely, 211130212232 is an apocalyptic number.

11130212232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275960700).

11130212232 is an abundant number, since it is smaller than the sum of its proper divisors (19421709168).

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

11130212232 is a wasteful number, since it uses less digits than its factorization.

11130212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11130212232 its reverse (23221203111), we get a palindrome (34351415343).

The spelling of 11130212232 in words is "eleven billion, one hundred thirty million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 337 388 582 674 776 873 1011 1164 1348 1746 2022 2328 2696 3033 3492 4044 4729 6066 6984 8088 9458 12132 14187 18916 24264 28374 32689 37832 42561 56748 65378 85122 98067 113496 130756 170244 196134 261512 294201 340488 392268 458713 588402 784536 917426 1176804 1376139 1593673 1834852 2353608 2752278 3187346 3669704 4128417 4781019 5504556 6374692 8256834 9562038 11009112 12749384 14343057 16513668 19124076 28686114 33027336 38248152 57372228 114744456 154586281 309172562 463758843 618345124 927517686 1236690248 1391276529 1855035372 2782553058 3710070744 5565106116 11130212232