Search a number
-
+
332113012000 = 25537114012689
BaseRepresentation
bin1001101010100110111…
…10100110010100100000
31011202020112020001122221
410311103132212110200
520420131412341000
6412323130240424
732665033011130
oct4652336462440
91152215201587
10332113012000
11118937156540
1254447b86114
1325419bb9363
1412108062ac0
15898ba7061a
hex4d537a6520

332113012000 has 384 divisors, whose sum is σ = 1020269053440. Its totient is φ = 103219200000.

The previous prime is 332113011973. The next prime is 332113012013. The reversal of 332113012000 is 210311233.

It is a super-2 number, since 2×3321130120002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123506656 + ... + 123509344.

It is an arithmetic number, because the mean of its divisors is an integer number (2656950660).

Almost surely, 2332113012000 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 332113012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510134526720).

332113012000 is an abundant number, since it is smaller than the sum of its proper divisors (688156041440).

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

332113012000 is a wasteful number, since it uses less digits than its factorization.

332113012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 332113012000 its reverse (210311233), we get a palindrome (332323323233).

The spelling of 332113012000 in words is "three hundred thirty-two billion, one hundred thirteen million, twelve thousand".