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331122132 = 2232117111777
BaseRepresentation
bin10011101111001…
…000010111010100
3212002001202011200
4103233020113110
51134231402012
652505032500
711130330435
oct2357102724
9762052150
10331122132
1115aa00a60
1292a85730
13537a6773
1431d9548c
151e10a3dc
hex13bc85d4

331122132 has 72 divisors (see below), whose sum is σ = 926033472. Its totient is φ = 98918400.

The previous prime is 331122083. The next prime is 331122149. The reversal of 331122132 is 231221133.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22228 + ... + 34004.

It is an arithmetic number, because the mean of its divisors is an integer number (12861576).

Almost surely, 2331122132 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 331122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463016736).

331122132 is an abundant number, since it is smaller than the sum of its proper divisors (594911340).

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

331122132 is a wasteful number, since it uses less digits than its factorization.

331122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11869 (or 11864 counting only the distinct ones).

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

The square root of 331122132 is about 18196.7615800175. The cubic root of 331122132 is about 691.8247102986.

Adding to 331122132 its reverse (231221133), we get a palindrome (562343265).

Subtracting from 331122132 its reverse (231221133), we obtain a palindrome (99900999).

The spelling of 331122132 in words is "three hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3124 4686 7029 9372 11777 14058 23554 28116 35331 47108 70662 105993 129547 141324 211986 259094 388641 423972 518188 777282 836167 1165923 1554564 1672334 2331846 2508501 3344668 4663692 5017002 7525503 9197837 10034004 15051006 18395674 27593511 30102012 36791348 55187022 82780533 110374044 165561066 331122132