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11123210032 = 2411897011013
BaseRepresentation
bin10100101101111111…
…01011011100110000
31001201012021121121221
422112333223130300
5140240020210112
65035424554424
7542433503524
oct122677533460
931635247557
1011123210032
114798842370
1221a5182a14
1310836066ac
147773c3d84
154517cae07
hex296feb730

11123210032 has 80 divisors (see below), whose sum is σ = 23832001440. Its totient is φ = 4987136000.

The previous prime is 11123210023. The next prime is 11123210053. The reversal of 11123210032 is 23001232111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11123209988 and 11123210015.

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, 10979958 + ... + 10980970.

It is an arithmetic number, because the mean of its divisors is an integer number (297900018).

Almost surely, 211123210032 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 11123210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11916000720).

11123210032 is an abundant number, since it is smaller than the sum of its proper divisors (12708791408).

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

11123210032 is a wasteful number, since it uses less digits than its factorization.

11123210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11123210032 its reverse (23001232111), we get a palindrome (34124442143).

The spelling of 11123210032 in words is "eleven billion, one hundred twenty-three million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 89 176 178 356 701 712 979 1013 1402 1424 1958 2026 2804 3916 4052 5608 7711 7832 8104 11143 11216 15422 15664 16208 22286 30844 44572 61688 62389 89144 90157 123376 124778 178288 180314 249556 360628 499112 686279 710113 721256 991727 998224 1372558 1420226 1442512 1983454 2745116 2840452 3966908 5490232 5680904 7811243 7933816 10980464 11361808 15622486 15867632 31244972 62489944 63200057 124979888 126400114 252800228 505600456 695200627 1011200912 1390401254 2780802508 5561605016 11123210032