Search a number
-
+
131969838000 = 243537211134373
BaseRepresentation
bin111101011101000000…
…0111110101110110000
3110121122012112101100210
41322322000332232300
54130233234304000
6140343123344120
712351223054200
oct1727200765660
9417565471323
10131969838000
1150a71595620
12216b0522040
13c5a201b250
14655cd52400
153675c69350
hex1eba03ebb0

131969838000 has 1920 divisors, whose sum is σ = 603135396864. Its totient is φ = 24385536000.

The previous prime is 131969837983. The next prime is 131969838029. The reversal of 131969838000 is 838969131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1807805964 + ... + 1807806036.

Almost surely, 2131969838000 is an apocalyptic number.

131969838000 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 131969838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301567698432).

131969838000 is an abundant number, since it is smaller than the sum of its proper divisors (471165558864).

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

131969838000 is a wasteful number, since it uses less digits than its factorization.

131969838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

It can be divided in two parts, 131969 and 838000, that added together give a palindrome (969969).

The spelling of 131969838000 in words is "one hundred thirty-one billion, nine hundred sixty-nine million, eight hundred thirty-eight thousand".