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11121003431220 = 2235593163993211
BaseRepresentation
bin1010000111010100111101…
…1101011000010100110100
31110101011020211221212200010
42201311033131120110310
52424201303334244340
635352530215020220
72225315555320224
oct241651735302464
943334224855603
1011121003431220
1135a8433570831
1212b73a966a670
1362892447a2b7
142a638bc80084
151444397bcb80
hexa1d4f758534

11121003431220 has 96 divisors (see below), whose sum is σ = 31676629501440. Its totient is φ = 2914411858560.

The previous prime is 11121003431203. The next prime is 11121003431227. The reversal of 11121003431220 is 2213430012111.

11121003431220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121003431227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10700415 + ... + 11693625.

It is an arithmetic number, because the mean of its divisors is an integer number (329964890640).

Almost surely, 211121003431220 is an apocalyptic number.

11121003431220 is a gapful number since it is divisible by the number (10) 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 11121003431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838314750720).

11121003431220 is an abundant number, since it is smaller than the sum of its proper divisors (20555626070220).

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

11121003431220 is a wasteful number, since it uses less digits than its factorization.

11121003431220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996445 (or 996443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11121003431220 its reverse (2213430012111), we get a palindrome (13334433443331).

The spelling of 11121003431220 in words is "eleven trillion, one hundred twenty-one billion, three million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3163 3540 6326 9489 12652 15815 18978 31630 37956 47445 63260 94890 186617 189780 373234 559851 746468 933085 993211 1119702 1866170 1986422 2239404 2799255 2979633 3732340 3972844 4966055 5598510 5959266 9932110 11197020 11918532 14898165 19864220 29796330 58599449 59592660 117198898 175798347 234397796 292997245 351596694 585994490 703193388 878991735 1171988980 1757983470 3141526393 3515966940 6283052786 9424579179 12566105572 15707631965 18849158358 31415263930 37698316716 47122895895 62830527860 94245791790 185350057187 188491583580 370700114374 556050171561 741400228748 926750285935 1112100343122 1853500571870 2224200686244 2780250857805 3707001143740 5560501715610 11121003431220