Search a number
-
+
332123231033220 = 22351119433111980491
BaseRepresentation
bin100101110000100000111011…
…1001101010001011110000100
31121112221200010000102022010210
41023201001313031101132010
5322013001334121030340
63134211150033115420
7126646053164160564
oct11341016715213604
91545850100368123
10332123231033220
1196908742535570
12312bb85a0b8b70
13113421177a8663
145c02bc8b60da4
15285e44a099180
hex12e1077351784

332123231033220 has 384 divisors, whose sum is σ = 1096227989176320. Its totient is φ = 74263621824000.

The previous prime is 332123231033207. The next prime is 332123231033227. The reversal of 332123231033220 is 22330132321233.

It is a super-2 number, since 2×3321232310332202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (332123231033227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166707175 + ... + 168687665.

It is an arithmetic number, because the mean of its divisors is an integer number (2854760388480).

Almost surely, 2332123231033220 is an apocalyptic number.

332123231033220 is a gapful number since it is divisible by the number (30) 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 332123231033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548113994588160).

332123231033220 is an abundant number, since it is smaller than the sum of its proper divisors (764104758143100).

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

332123231033220 is a wasteful number, since it uses less digits than its factorization.

332123231033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980887 (or 1980885 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 332123231033220 its reverse (22330132321233), we get a palindrome (354453363354453).

The spelling of 332123231033220 in words is "three hundred thirty-two trillion, one hundred twenty-three billion, two hundred thirty-one million, thirty-three thousand, two hundred twenty".