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11220120032 = 2511431395333
BaseRepresentation
bin10100111001100010…
…10111000111100000
31001221221122011011012
422130301113013200
5140434322320112
65053210040052
7545021306132
oct123461270740
931857564135
1011220120032
114838513280
122211719028
13109a7078a4
1478620d052
1545a070022
hex29cc571e0

11220120032 has 96 divisors (see below), whose sum is σ = 24840224640. Its totient is φ = 4944683520.

The previous prime is 11220120017. The next prime is 11220120049. The reversal of 11220120032 is 23002102211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11220119989 and 11220120016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101238 + ... + 2106570.

It is an arithmetic number, because the mean of its divisors is an integer number (258752340).

Almost surely, 211220120032 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 11220120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420112320).

11220120032 is an abundant number, since it is smaller than the sum of its proper divisors (13620104608).

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

11220120032 is a wasteful number, since it uses less digits than its factorization.

11220120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11220120032 its reverse (23002102211), we get a palindrome (34222222243).

The spelling of 11220120032 in words is "eleven billion, two hundred twenty million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 139 172 176 278 344 352 473 556 688 946 1112 1376 1529 1892 2224 3058 3784 4448 5333 5977 6116 7568 10666 11954 12232 15136 21332 23908 24464 42664 47816 48928 58663 65747 85328 95632 117326 131494 170656 191264 229319 234652 262988 458638 469304 525976 741287 917276 938608 1051952 1482574 1834552 1877216 2103904 2522509 2965148 3669104 5045018 5930296 7338208 8154157 10090036 11860592 16308314 20180072 23721184 31875341 32616628 40360144 63750682 65233256 80720288 127501364 130466512 255002728 260933024 350628751 510005456 701257502 1020010912 1402515004 2805030008 5610060016 11220120032