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22131001000 = 235322131001
BaseRepresentation
bin10100100111000111…
…000100011010101000
32010010100101100001201
4110213013010122220
5330311014013000
614100012053544
71412266255543
oct244707043250
963110340051
1022131001000
119427411679
1243577642b4
13211902b284
1410dd32185a
15897da896a
hex5271c46a8

22131001000 has 32 divisors (see below), whose sum is σ = 51786544680. Its totient is φ = 8852400000.

The previous prime is 22131000977. The next prime is 22131001003. The reversal of 22131001000 is 10013122.

It can be written as a sum of positive squares in 4 ways, for example, as 9459896644 + 12671104356 = 97262^2 + 112566^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22131001003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11064501 + ... + 11066500.

Almost surely, 222131001000 is an apocalyptic number.

22131001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131001000 is an abundant number, since it is smaller than the sum of its proper divisors (29655543680).

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

22131001000 is a wasteful number, since it uses less digits than its factorization.

22131001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22131022 (or 22131008 counting only the distinct ones).

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

Adding to 22131001000 its reverse (10013122), we get a palindrome (22141014122).

The spelling of 22131001000 in words is "twenty-two billion, one hundred thirty-one million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 22131001 44262002 88524004 110655005 177048008 221310010 442620020 553275025 885240040 1106550050 2213100100 2766375125 4426200200 5532750250 11065500500 22131001000