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11200111032 = 23311194494973
BaseRepresentation
bin10100110111001010…
…00010000110111000
31001220112222120222010
422123211002012320
5140414212023112
65051213125520
7544356241635
oct123345020670
931815876863
1011200111032
114828197210
122206a898a0
131096520346
147836c118c
1545841b63c
hex29b9421b8

11200111032 has 128 divisors (see below), whose sum is σ = 32231520000. Its totient is φ = 3207536640.

The previous prime is 11200111001. The next prime is 11200111049. The reversal of 11200111032 is 23011100211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11200110999 and 11200111017.

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, 2249698 + ... + 2254670.

It is an arithmetic number, because the mean of its divisors is an integer number (251808750).

Almost surely, 211200111032 is an apocalyptic number.

11200111032 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 11200111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115760000).

11200111032 is an abundant number, since it is smaller than the sum of its proper divisors (21031408968).

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

11200111032 is a wasteful number, since it uses less digits than its factorization.

11200111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11200111032 its reverse (23011100211), we get a palindrome (34211211243).

The spelling of 11200111032 in words is "eleven billion, two hundred million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 449 456 627 836 898 1254 1347 1672 1796 2508 2694 3592 4939 4973 5016 5388 8531 9878 9946 10776 14817 14919 17062 19756 19892 25593 29634 29838 34124 39512 39784 51186 54703 59268 59676 68248 93841 94487 102372 109406 118536 119352 164109 187682 188974 204744 218812 281523 283461 328218 375364 377948 437624 563046 566922 656436 750728 755896 1039357 1126092 1133844 1312872 2078714 2232877 2252184 2267688 3118071 4157428 4465754 6236142 6698631 8314856 8931508 12472284 13397262 17863016 24561647 24944568 26794524 42424663 49123294 53589048 73684941 84849326 98246588 127273989 147369882 169698652 196493176 254547978 294739764 339397304 466671293 509095956 589479528 933342586 1018191912 1400013879 1866685172 2800027758 3733370344 5600055516 11200111032