Search a number
-
+
2132031000 = 233531123532
BaseRepresentation
bin111111100010100…
…0011011000011000
312111120210101201010
41333011003120120
513331244443000
6551320453520
7103555651551
oct17705033030
95446711633
102132031000
119a45264a0
124b601a2a0
1327c924408
14163227328
15c7292d50
hex7f143618

2132031000 has 384 divisors, whose sum is σ = 7717731840. Its totient is φ = 485056000.

The previous prime is 2132030993. The next prime is 2132031001. The reversal of 2132031000 is 1302312.

It is a happy number.

It is a super-2 number, since 2×21320310002 = 9091112369922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132031001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40226974 + ... + 40227026.

It is an arithmetic number, because the mean of its divisors is an integer number (20098260).

Almost surely, 22132031000 is an apocalyptic number.

2132031000 is a gapful number since it is divisible by the number (20) 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 2132031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858865920).

2132031000 is an abundant number, since it is smaller than the sum of its proper divisors (5585700840).

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

2132031000 is a wasteful number, since it uses less digits than its factorization.

2132031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2132031000 is about 46173.9212110039. The cubic root of 2132031000 is about 1287.0571701073.

Adding to 2132031000 its reverse (1302312), we get a palindrome (2133333312).

The spelling of 2132031000 in words is "two billion, one hundred thirty-two million, thirty-one thousand".