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11202133032 = 2333474212621
BaseRepresentation
bin10100110111011001…
…01111110000101000
31001220200210022122000
422123230233300220
5140420221224112
65051324331000
7544412362656
oct123354576050
931820708560
1011202133032
114829348392
1222076a3a60
131096a7a7ac
14783a89dd6
154586ba7dc
hex29bb2fc28

11202133032 has 128 divisors (see below), whose sum is σ = 31866739200. Its totient is φ = 3644524800.

The previous prime is 11202133013. The next prime is 11202133043. The reversal of 11202133032 is 23033120211.

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 = 11202132996 and 11202133014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4272682 + ... + 4275302.

It is an arithmetic number, because the mean of its divisors is an integer number (248958900).

Almost surely, 211202133032 is an apocalyptic number.

11202133032 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 11202133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15933369600).

11202133032 is an abundant number, since it is smaller than the sum of its proper divisors (20664606168).

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

11202133032 is a wasteful number, since it uses less digits than its factorization.

11202133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3094 counting only the distinct ones).

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

Adding to 11202133032 its reverse (23033120211), we get a palindrome (34235253243).

The spelling of 11202133032 in words is "eleven billion, two hundred two million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 421 423 564 842 846 1128 1263 1269 1684 1692 2526 2538 2621 3368 3384 3789 5052 5076 5242 7578 7863 10104 10152 10484 11367 15156 15726 19787 20968 22734 23589 30312 31452 39574 45468 47178 59361 62904 70767 79148 90936 94356 118722 123187 141534 158296 178083 188712 237444 246374 283068 356166 369561 474888 492748 534249 566136 712332 739122 985496 1068498 1103441 1108683 1424664 1478244 2136996 2206882 2217366 2956488 3310323 3326049 4273992 4413764 4434732 6620646 6652098 8827528 8869464 9930969 13241292 13304196 19861938 26482584 26608392 29792907 39723876 51861727 59585814 79447752 103723454 119171628 155585181 207446908 238343256 311170362 414893816 466755543 622340724 933511086 1244681448 1400266629 1867022172 2800533258 3734044344 5601066516 11202133032