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23532231132 = 22342326312007
BaseRepresentation
bin10101111010101000…
…010101100111011100
32020202000001012110000
4111322220111213130
5341143222344012
614451025214300
71462102443564
oct257250254734
966660035400
1023532231132
119a86370603
124688a91390
1322b041a927
1411d3473da4
1592ade2ddc
hex57aa159dc

23532231132 has 120 divisors (see below), whose sum is σ = 64442036736. Its totient is φ = 7473879072.

The previous prime is 23532231119. The next prime is 23532231157. The reversal of 23532231132 is 23113223532.

It is a happy number.

23532231132 is a `hidden beast` number, since 23 + 5 + 322 + 311 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23532231096 and 23532231105.

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, 1953873 + ... + 1965879.

Almost surely, 223532231132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23532231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32221018368).

23532231132 is an abundant number, since it is smaller than the sum of its proper divisors (40909805604).

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

23532231132 is a wasteful number, since it uses less digits than its factorization.

23532231132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309 (or 12298 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

Adding to 23532231132 its reverse (23113223532), we get a palindrome (46645454664).

The spelling of 23532231132 in words is "twenty-three billion, five hundred thirty-two million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 263 276 324 414 526 621 789 828 1052 1242 1578 1863 2367 2484 3156 3726 4734 6049 7101 7452 9468 12007 12098 14202 18147 21303 24014 24196 28404 36021 36294 42606 48028 54441 72042 72588 85212 108063 108882 144084 163323 216126 217764 276161 324189 326646 432252 489969 552322 648378 653292 828483 972567 979938 1104644 1296756 1656966 1945134 1959876 2485449 3157841 3313932 3890268 4970898 6315682 7456347 9473523 9941796 12631364 14912694 18947046 22369041 28420569 29825388 37894092 44738082 56841138 72630343 85261707 89476164 113682276 145260686 170523414 217891029 255785121 290521372 341046828 435782058 511570242 653673087 871564116 1023140484 1307346174 1961019261 2614692348 3922038522 5883057783 7844077044 11766115566 23532231132