Search a number
-
+
331269269100 = 2235271123227109
BaseRepresentation
bin1001101001000010010…
…11111110011001101100
31011200001201120110222220
410310201023332121230
520411414413102400
6412103310035340
732635106220240
oct4644113763154
91150051513886
10331269269100
11118543958a60
12542514a8b50
132531415c0c3
1412067d8c420
15893c9577a0
hex4d212fe66c

331269269100 has 432 divisors, whose sum is σ = 1249239210240. Its totient is φ = 65839910400.

The previous prime is 331269269057. The next prime is 331269269141. The reversal of 331269269100 is 1962962133.

It is a happy number.

331269269100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12206346 + ... + 12233454.

Almost surely, 2331269269100 is an apocalyptic number.

331269269100 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 331269269100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624619605120).

331269269100 is an abundant number, since it is smaller than the sum of its proper divisors (917969941140).

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

331269269100 is a wasteful number, since it uses less digits than its factorization.

331269269100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27190 (or 27160 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 331269269100 in words is "three hundred thirty-one billion, two hundred sixty-nine million, two hundred sixty-nine thousand, one hundred".