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2131201000 = 235310121101
BaseRepresentation
bin111111100000111…
…1000101111101000
312111112020020011101
41333001320233220
513331041413000
6551251011144
7103545623665
oct17701705750
95445206141
102131201000
119a4009945
124b5899ab4
1327c6c36a6
1416308ca6c
15c717be6a
hex7f078be8

2131201000 has 64 divisors (see below), whose sum is σ = 5036625360. Its totient is φ = 844000000.

The previous prime is 2131200997. The next prime is 2131201081. The reversal of 2131201000 is 1021312.

It can be written as a sum of positive squares in 8 ways, for example, as 225180036 + 1906020964 = 15006^2 + 43658^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90450 + ... + 111550.

Almost surely, 22131201000 is an apocalyptic number.

2131201000 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 2131201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518312680).

2131201000 is an abundant number, since it is smaller than the sum of its proper divisors (2905424360).

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

2131201000 is a wasteful number, since it uses less digits than its factorization.

2131201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21223 (or 21209 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2131201000 is about 46164.9325787442. The cubic root of 2131201000 is about 1286.8901312438.

Adding to 2131201000 its reverse (1021312), we get a palindrome (2132222312).

The spelling of 2131201000 in words is "two billion, one hundred thirty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 21101 25250 42202 50500 84404 101000 105505 168808 211010 422020 527525 844040 1055050 2110100 2131201 2637625 4220200 4262402 5275250 8524804 10550500 10656005 17049608 21101000 21312010 42624020 53280025 85248040 106560050 213120100 266400125 426240200 532800250 1065600500 2131201000