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11221012944 = 243623151277
BaseRepresentation
bin10100111001101001…
…10001000111010000
31001222000022112000000
422130310301013100
5140440034403234
65053241130000
7545032015311
oct123464610720
931860275000
1011221012944
114838a73119
122211a89900
13109a95b13b
147863a2608
1545a199899
hex29cd311d0

11221012944 has 280 divisors, whose sum is σ = 34362241152. Its totient is φ = 3541190400.

The previous prime is 11221012939. The next prime is 11221012993. The reversal of 11221012944 is 44921012211.

It is a happy number.

It is a super-2 number, since 2×112210129442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40508934 + ... + 40509210.

Almost surely, 211221012944 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 11221012944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17181120576).

11221012944 is an abundant number, since it is smaller than the sum of its proper divisors (23141228208).

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

11221012944 is a wasteful number, since it uses less digits than its factorization.

11221012944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 112 and 21012944, that added together give a square (21013056 = 45842).

The spelling of 11221012944 in words is "eleven billion, two hundred twenty-one million, twelve thousand, nine hundred forty-four".