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11130200312 = 23711129713931
BaseRepresentation
bin10100101110110100…
…10110000011111000
31001201200102202111012
422113122112003320
5140243312402222
65040234453052
7542550066410
oct122732260370
931650382435
1011130200312
1147a1787260
1221a7594188
131084bb335a
147782c3640
1545220c1e2
hex2976960f8

11130200312 has 64 divisors (see below), whose sum is σ = 26040579840. Its totient is φ = 4332787200.

The previous prime is 11130200311. The next prime is 11130200321. The reversal of 11130200312 is 21300203111.

11130200312 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 (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130200311) 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 15 ways as a sum of consecutive naturals, for example, 791987 + ... + 805917.

It is an arithmetic number, because the mean of its divisors is an integer number (406884060).

Almost surely, 211130200312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020289920).

11130200312 is an abundant number, since it is smaller than the sum of its proper divisors (14910379528).

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

11130200312 is a wasteful number, since it uses less digits than its factorization.

11130200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15252 (or 15248 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11130200312 its reverse (21300203111), we get a palindrome (32430403423).

The spelling of 11130200312 in words is "eleven billion, one hundred thirty million, two hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1297 2594 5188 9079 10376 13931 14267 18158 27862 28534 36316 55724 57068 72632 97517 99869 111448 114136 153241 195034 199738 306482 390068 399476 612964 780136 798952 1072687 1225928 2145374 4290748 8581496 18068507 36137014 72274028 126479549 144548056 198753577 252959098 397507154 505918196 795014308 1011836392 1391275039 1590028616 2782550078 5565100156 11130200312