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11130497280 = 283357139331
BaseRepresentation
bin10100101110110110…
…11110100100000000
31001201200222211212000
422113123132210000
5140243401403110
65040245104000
7542552444250
oct122733364400
931650884760
1011130497280
1147a196a391
1221a76b8000
131084c88586
1477835d960
1545226a1c0
hex2976de900

11130497280 has 576 divisors, whose sum is σ = 45602457600. Its totient is φ = 2518179840.

The previous prime is 11130497237. The next prime is 11130497281. The reversal of 11130497280 is 8279403111.

It is a happy number.

11130497280 is a `hidden beast` number, since 11 + 130 + 497 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11130497281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33626715 + ... + 33627045.

Almost surely, 211130497280 is an apocalyptic number.

11130497280 is a gapful number since it is divisible by the number (10) 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 11130497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22801228800).

11130497280 is an abundant number, since it is smaller than the sum of its proper divisors (34471960320).

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

11130497280 is a wasteful number, since it uses less digits than its factorization.

11130497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11130497280 in words is "eleven billion, one hundred thirty million, four hundred ninety-seven thousand, two hundred eighty".