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11203452252 = 22331972771901
BaseRepresentation
bin10100110111100011…
…10001110101011100
31001220210021100021000
422123301301311130
5140421040433002
65051412510300
7544426526046
oct123361616534
931823240230
1011203452252
11482a069553
12220801b390
1310971200b5
14783d10a96
1545887b61c
hex29bc71d5c

11203452252 has 96 divisors (see below), whose sum is σ = 29314232640. Its totient is φ = 3700166400.

The previous prime is 11203452241. The next prime is 11203452257. The reversal of 11203452252 is 25225430211.

11203452252 is a `hidden beast` number, since 1 + 1 + 203 + 452 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203452257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5892502 + ... + 5894402.

It is an arithmetic number, because the mean of its divisors is an integer number (305356590).

Almost surely, 211203452252 is an apocalyptic number.

11203452252 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 11203452252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657116320).

11203452252 is an abundant number, since it is smaller than the sum of its proper divisors (18110780388).

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

11203452252 is a wasteful number, since it uses less digits than its factorization.

11203452252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 11203452252 its reverse (25225430211), we get a palindrome (36428882463).

The spelling of 11203452252 in words is "eleven billion, two hundred three million, four hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 277 394 554 591 788 831 1108 1182 1662 1773 1901 2364 2493 3324 3546 3802 4986 5319 5703 7092 7479 7604 9972 10638 11406 14958 17109 21276 22812 29916 34218 51327 54569 68436 102654 109138 163707 205308 218276 327414 374497 491121 526577 654828 748994 982242 1053154 1123491 1473363 1497988 1579731 1964484 2106308 2246982 2946726 3159462 3370473 4493964 4739193 5893452 6318924 6740946 9478386 10111419 13481892 14217579 18956772 20222838 28435158 40445676 56870316 103735669 207471338 311207007 414942676 622414014 933621021 1244828028 1867242042 2800863063 3734484084 5601726126 11203452252