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21323122000 = 245397109913
BaseRepresentation
bin10011110110111101…
…010000010101010000
32001001001012211102021
4103312331100111100
5322132204401000
613443512301224
71353256355305
oct236675202520
961031184367
1021323122000
11905238a184
1241710a1814
13201a84a06b
141063d050ac
1584bec711a
hex4f6f50550

21323122000 has 80 divisors (see below), whose sum is σ = 52091322192. Its totient is φ = 8441241600.

The previous prime is 21323121979. The next prime is 21323122013. The reversal of 21323122000 is 22132312.

It can be written as a sum of positive squares in 8 ways, for example, as 9518734096 + 11804387904 = 97564^2 + 108648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 139044 + ... + 248956.

Almost surely, 221323122000 is an apocalyptic number.

21323122000 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 21323122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26045661096).

21323122000 is an abundant number, since it is smaller than the sum of its proper divisors (30768200192).

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

21323122000 is a wasteful number, since it uses less digits than its factorization.

21323122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110033 (or 110017 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21323122000 its reverse (22132312), we get a palindrome (21345254312).

It can be divided in two parts, 2132312 and 2000, that added together give a palindrome (2134312).

The spelling of 21323122000 in words is "twenty-one billion, three hundred twenty-three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 970 1000 1552 1940 2000 2425 3880 4850 7760 9700 12125 19400 24250 38800 48500 97000 109913 194000 219826 439652 549565 879304 1099130 1758608 2198260 2747825 4396520 5495650 8793040 10661561 10991300 13739125 21323122 21982600 27478250 42646244 43965200 53307805 54956500 85292488 106615610 109913000 170584976 213231220 219826000 266539025 426462440 533078050 852924880 1066156100 1332695125 2132312200 2665390250 4264624400 5330780500 10661561000 21323122000