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2120831700 = 2235213259709
BaseRepresentation
bin111111001101001…
…0101001011010100
312110210201102011020
41332122111023110
513320413103300
6550240441140
7103361525541
oct17632251324
95423642136
102120831700
11999177279
124b23191b0
1327a502a00
1416194dbc8
15c62ce8a0
hex7e6952d4

2120831700 has 216 divisors, whose sum is σ = 6766754400. Its totient is φ = 512478720.

The previous prime is 2120831663. The next prime is 2120831701. The reversal of 2120831700 is 71380212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120831701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2990946 + ... + 2991654.

Almost surely, 22120831700 is an apocalyptic number.

2120831700 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 2120831700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383377200).

2120831700 is an abundant number, since it is smaller than the sum of its proper divisors (4645922700).

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

2120831700 is a wasteful number, since it uses less digits than its factorization.

2120831700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2120831700 is about 46052.4885321087. The cubic root of 2120831700 is about 1284.7996275963.

The spelling of 2120831700 in words is "two billion, one hundred twenty million, eight hundred thirty-one thousand, seven hundred".