Search a number
-
+
11032321020000 = 253547171545143
BaseRepresentation
bin1010000010001010100110…
…0100110101000001100000
31110001200100102100121120020
42200202221210311001200
52421223143140120000
635244102303113440
72216026125261330
oct240425144650140
943050312317506
1011032321020000
113573865670695
1212a2179ba2880
13620460610a67
142a1d77d610c0
15141e98e57ba0
hexa08a9935060

11032321020000 has 480 divisors, whose sum is σ = 43790814853632. Its totient is φ = 2373338112000.

The previous prime is 11032321019933. The next prime is 11032321020103. The reversal of 11032321020000 is 2012323011.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6367429 + ... + 7912571.

Almost surely, 211032321020000 is an apocalyptic number.

11032321020000 is a gapful number since it is divisible by the number (10) 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 11032321020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21895407426816).

11032321020000 is an abundant number, since it is smaller than the sum of its proper divisors (32758493833632).

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

11032321020000 is a wasteful number, since it uses less digits than its factorization.

11032321020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545200 (or 1545177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11032321020000 its reverse (2012323011), we get a palindrome (11034333343011).

It can be divided in two parts, 1103232 and 1020000, that multiplied together give a square (1125296640000 = 10608002).

The spelling of 11032321020000 in words is "eleven trillion, thirty-two billion, three hundred twenty-one million, twenty thousand".