Search a number
-
+
232031202312 = 2337132337131953
BaseRepresentation
bin1101100000011000100…
…0110010110000001000
3211011220122122100121210
43120012020302300020
512300144441433222
6254332121533120
722522643451330
oct3300610626010
9734818570553
10232031202312
118a449623628
1238b769441a0
1318b5a464920
14b3321c80c0
156080575d0c
hex3606232c08

232031202312 has 512 divisors, whose sum is σ = 771767377920. Its totient is φ = 56458321920.

The previous prime is 232031202287. The next prime is 232031202323. The reversal of 232031202312 is 213202130232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243474028 + ... + 243474980.

It is an arithmetic number, because the mean of its divisors is an integer number (1507358160).

Almost surely, 2232031202312 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 232031202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385883688960).

232031202312 is an abundant number, since it is smaller than the sum of its proper divisors (539736175608).

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

232031202312 is a wasteful number, since it uses less digits than its factorization.

232031202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232031202312 its reverse (213202130232), we get a palindrome (445233332544).

The spelling of 232031202312 in words is "two hundred thirty-two billion, thirty-one million, two hundred two thousand, three hundred twelve".