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11531232252 = 2234236612341
BaseRepresentation
bin10101011110101000…
…01010001111111100
31002202122001021220000
422233110022033330
5142103443413002
65144122154300
7555516566631
oct125724121774
932678037800
1011531232252
114988097511
122299952990
131119cc6567
147b5676188
1547752661c
hex2af50a3fc

11531232252 has 120 divisors (see below), whose sum is σ = 31516612512. Its totient is φ = 3669494400.

The previous prime is 11531232241. The next prime is 11531232263. The reversal of 11531232252 is 25223213511.

It is an interprime number because it is at equal distance from previous prime (11531232241) and next prime (11531232263).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4924602 + ... + 4926942.

Almost surely, 211531232252 is an apocalyptic number.

11531232252 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 11531232252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758306256).

11531232252 is an abundant number, since it is smaller than the sum of its proper divisors (19985380260).

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

11531232252 is a wasteful number, since it uses less digits than its factorization.

11531232252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3030 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

Adding to 11531232252 its reverse (25223213511), we get a palindrome (36754445763).

The spelling of 11531232252 in words is "eleven billion, five hundred thirty-one million, two hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 661 828 1242 1322 1863 1983 2341 2484 2644 3726 3966 4682 5949 7023 7452 7932 9364 11898 14046 15203 17847 21069 23796 28092 30406 35694 42138 45609 53541 53843 60812 63207 71388 84276 91218 107082 107686 126414 136827 161529 182436 189621 214164 215372 252828 273654 323058 379242 410481 484587 547308 646116 758484 820962 969174 1231443 1453761 1547401 1641924 1938348 2462886 2907522 3094802 4361283 4642203 4925772 5815044 6189604 8722566 9284406 13926609 17445132 18568812 27853218 35590223 41779827 55706436 71180446 83559654 106770669 125339481 142360892 167119308 213541338 250678962 320312007 427082676 501357924 640624014 960936021 1281248028 1921872042 2882808063 3843744084 5765616126 11531232252