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11220054132 = 22374721113469
BaseRepresentation
bin10100111001100010…
…00111000001110100
31001221221111210202110
422130301013001310
5140434313213012
65053204411020
7545020613040
oct123461070164
931857453673
1011220054132
114838478811
1222116a6a70
13109a6b38b1
147861d3020
1545a05a73c
hex29cc47074

11220054132 has 96 divisors (see below), whose sum is σ = 30703841280. Its totient is φ = 3122421120.

The previous prime is 11220054119. The next prime is 11220054217. The reversal of 11220054132 is 23145002211.

It is a super-2 number, since 2×112200541322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11220054099 and 11220054108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826294 + ... + 839762.

It is an arithmetic number, because the mean of its divisors is an integer number (319831680).

Almost surely, 211220054132 is an apocalyptic number.

11220054132 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 11220054132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351920640).

11220054132 is an abundant number, since it is smaller than the sum of its proper divisors (19483787148).

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

11220054132 is a wasteful number, since it uses less digits than its factorization.

11220054132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13741 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11220054132 its reverse (23145002211), we get a palindrome (34365056343).

The spelling of 11220054132 in words is "eleven billion, two hundred twenty million, fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 211 282 329 422 564 633 658 844 987 1266 1316 1477 1974 2532 2954 3948 4431 5908 8862 9917 13469 17724 19834 26938 29751 39668 40407 53876 59502 69419 80814 94283 119004 138838 161628 188566 208257 277676 282849 377132 416514 565698 633043 833028 1131396 1266086 1899129 2532172 2841959 3798258 4431301 5683918 7596516 8525877 8862602 11367836 13293903 17051754 17725204 19893713 26587806 34103508 39787426 53175612 59681139 79574852 119362278 133572073 238724556 267144146 400716219 534288292 801432438 935004511 1602864876 1870009022 2805013533 3740018044 5610027066 11220054132