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11219853312 = 21332314909
BaseRepresentation
bin10100111001100000…
…10110000000000000
31001221221010121021200
422130300112000000
5140434240301222
65053200221200
7545016115413
oct123460260000
931857117250
1011219853312
114838350948
12221160a800
13109a643375
1478617db7a
1545a01aeac
hex29cc16000

11219853312 has 168 divisors, whose sum is σ = 33463260480. Its totient is φ = 3618570240.

The previous prime is 11219853287. The next prime is 11219853317. The reversal of 11219853312 is 21335891211.

11219853312 is a `hidden beast` number, since 1 + 1 + 21 + 98 + 533 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11219853317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2283114 + ... + 2288022.

Almost surely, 211219853312 is an apocalyptic number.

11219853312 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 11219853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731630240).

11219853312 is an abundant number, since it is smaller than the sum of its proper divisors (22243407168).

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

11219853312 is an equidigital number, since it uses as much as digits as its factorization.

11219853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4945 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 11219853312 in words is "eleven billion, two hundred nineteen million, eight hundred fifty-three thousand, three hundred twelve".