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11011044132 = 2232113141131167
BaseRepresentation
bin10100100000100111…
…10011001100100100
31001102101012222221100
422100103303030210
5140022311403012
65020340520100
7536602221324
oct122023631444
931371188840
1011011044132
1147404a1480
1221736b0030
1310662c353a
14766547284
15446a218dc
hex2904f3324

11011044132 has 288 divisors, whose sum is σ = 32546562048. Its totient is φ = 3107520000.

The previous prime is 11011044113. The next prime is 11011044167. The reversal of 11011044132 is 23144011011.

Adding to 11011044132 its reverse (23144011011), we get a palindrome (34155055143).

11011044132 is a `hidden beast` number, since 110 + 110 + 441 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65934313 + ... + 65934479.

It is an arithmetic number, because the mean of its divisors is an integer number (113008896).

Almost surely, 211011044132 is an apocalyptic number.

11011044132 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 11011044132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273281024).

11011044132 is an abundant number, since it is smaller than the sum of its proper divisors (21535517916).

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

11011044132 is a wasteful number, since it uses less digits than its factorization.

11011044132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 11011044132 in words is "eleven billion, eleven million, forty-four thousand, one hundred thirty-two".