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11032033122 = 232112361151263
BaseRepresentation
bin10100100011000111…
…10111011101100010
31001110211201100102100
422101203313131202
5140043200024442
65022410431230
7540245506605
oct122143673542
931424640370
1011032033122
114751327850
12217a732516
13106a761b66
1476924c33c
154487ba84c
hex2918f7762

11032033122 has 192 divisors, whose sum is σ = 27944497152. Its totient is φ = 3112560000.

The previous prime is 11032033081. The next prime is 11032033163. The reversal of 11032033122 is 22133023011.

11032033122 is a `hidden beast` number, since 1 + 10 + 320 + 331 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11032033081) and next prime (11032033163).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11032033095 and 11032033104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41946763 + ... + 41947025.

It is an arithmetic number, because the mean of its divisors is an integer number (145544256).

Almost surely, 211032033122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11032033122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972248576).

11032033122 is an abundant number, since it is smaller than the sum of its proper divisors (16912464030).

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

11032033122 is a wasteful number, since it uses less digits than its factorization.

11032033122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11032033122 its reverse (22133023011), we get a palindrome (33165056133).

The spelling of 11032033122 in words is "eleven billion, thirty-two million, thirty-three thousand, one hundred twenty-two".