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11200421024 = 2513311078117
BaseRepresentation
bin10100110111001100…
…01101110010100000
31001220120120100012022
422123212031302200
5140414301433044
65051223521012
7544362002462
oct123346156240
931816510168
1011200421024
114828389101
122206bb9168
1310965cb480
14783762132
1545847d3ee
hex29b98dca0

11200421024 has 96 divisors (see below), whose sum is σ = 24745222656. Its totient is φ = 4955304960.

The previous prime is 11200420991. The next prime is 11200421059. The reversal of 11200421024 is 42012400211.

It is a super-2 number, since 2×112004210242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11200420993 and 11200421011.

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, 1375814 + ... + 1383930.

It is an arithmetic number, because the mean of its divisors is an integer number (257762736).

Almost surely, 211200421024 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 11200421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12372611328).

11200421024 is an abundant number, since it is smaller than the sum of its proper divisors (13544801632).

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

11200421024 is a wasteful number, since it uses less digits than its factorization.

11200421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11200421024 its reverse (42012400211), we get a palindrome (53212821235).

The spelling of 11200421024 in words is "eleven billion, two hundred million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 107 124 208 214 248 403 416 428 496 806 856 992 1391 1612 1712 2782 3224 3317 3424 5564 6448 6634 8117 11128 12896 13268 16234 22256 26536 32468 43121 44512 53072 64936 86242 105521 106144 129872 172484 211042 251627 259744 344968 422084 503254 689936 844168 868519 1006508 1379872 1688336 1737038 2013016 3271151 3376672 3474076 4026032 6542302 6948152 8052064 11290747 13084604 13896304 22581494 26169208 26924089 27792608 45162988 52338416 53848178 90325976 104676832 107696356 180651952 215392712 350013157 361303904 430785424 700026314 861570848 1400052628 2800105256 5600210512 11200421024