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11201331432 = 2332931216747
BaseRepresentation
bin10100110111010011…
…01100000011101000
31001220122021121001010
422123221230003220
5140420020101212
65051255223520
7544402513644
oct123351540350
931818247033
1011201331432
114828950105
122207377ba0
131096859985
1478391bc24
154585ad03c
hex29ba6c0e8

11201331432 has 96 divisors (see below), whose sum is σ = 29935375200. Its totient is φ = 3488526720.

The previous prime is 11201331389. The next prime is 11201331443. The reversal of 11201331432 is 23413310211.

It is a super-2 number, since 2×112013314322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201331399 and 11201331408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660483 + ... + 677229.

It is an arithmetic number, because the mean of its divisors is an integer number (311826825).

Almost surely, 211201331432 is an apocalyptic number.

11201331432 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 11201331432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967687600).

11201331432 is an abundant number, since it is smaller than the sum of its proper divisors (18734043768).

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

11201331432 is a wasteful number, since it uses less digits than its factorization.

11201331432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16847 (or 16812 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11201331432 its reverse (23413310211), we get a palindrome (34614641643).

The spelling of 11201331432 in words is "eleven billion, two hundred one million, three hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 961 1798 1922 2697 2883 3596 3844 5394 5766 7192 7688 10788 11532 16747 21576 23064 27869 33494 50241 55738 66988 83607 100482 111476 133976 167214 200964 222952 334428 401928 485663 519157 668856 971326 1038314 1456989 1557471 1942652 2076628 2913978 3114942 3885304 4153256 5827956 6229884 11655912 12459768 15055553 16093867 30111106 32187734 45166659 48281601 60222212 64375468 90333318 96563202 120444424 128750936 180666636 193126404 361333272 386252808 466722143 933444286 1400166429 1866888572 2800332858 3733777144 5600665716 11201331432