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2131213032 = 2335133499
BaseRepresentation
bin111111100000111…
…1011101011101000
312111112020211200000
41333001323223220
513331042304112
6551251143000
7103546004034
oct17701735350
95445224600
102131213032
119a4017993
124b58a4a60
1327c6c9000
141630931c4
15c71807dc
hex7f07bae8

2131213032 has 192 divisors, whose sum is σ = 6497400000. Its totient is φ = 654443712.

The previous prime is 2131213013. The next prime is 2131213043. The reversal of 2131213032 is 2303121312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2131212996 and 2131213014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4270719 + ... + 4271217.

It is an arithmetic number, because the mean of its divisors is an integer number (33840625).

Almost surely, 22131213032 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 2131213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248700000).

2131213032 is an abundant number, since it is smaller than the sum of its proper divisors (4366186968).

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

2131213032 is an equidigital number, since it uses as much as digits as its factorization.

2131213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2131213032 is about 46165.0628939244. The cubic root of 2131213032 is about 1286.8925530134.

Adding to 2131213032 its reverse (2303121312), we get a palindrome (4434334344).

It can be divided in two parts, 213121 and 3032, that added together give a triangular number (216153 = T657).

The spelling of 2131213032 in words is "two billion, one hundred thirty-one million, two hundred thirteen thousand, thirty-two".