Search a number
-
+
21122022000 = 2435314812377
BaseRepresentation
bin10011101010111110…
…000111101001110000
32000112000210220002010
4103222332013221300
5321224214201000
613411530122520
71345265140032
oct235276075160
960460726063
1021122022000
118a59915832
124115880440
131cb7c99191
141045317c52
15839501d50
hex4eaf87a70

21122022000 has 160 divisors (see below), whose sum is σ = 68172047424. Its totient is φ = 5626368000.

The previous prime is 21122021971. The next prime is 21122022043. The reversal of 21122022000 is 22022112.

It is a super-2 number, since 2×211220220002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 8884812 + ... + 8887188.

Almost surely, 221122022000 is an apocalyptic number.

21122022000 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 21122022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34086023712).

21122022000 is an abundant number, since it is smaller than the sum of its proper divisors (47050025424).

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

21122022000 is a wasteful number, since it uses less digits than its factorization.

21122022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21122022000 its reverse (22022112), we get a palindrome (21144044112).

The spelling of 21122022000 in words is "twenty-one billion, one hundred twenty-two million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1481 1500 2000 2377 2962 3000 4443 4754 5924 6000 7131 7405 8886 9508 11848 11885 14262 14810 17772 19016 22215 23696 23770 28524 29620 35544 35655 37025 38032 44430 47540 57048 59240 59425 71088 71310 74050 88860 95080 111075 114096 118480 118850 142620 148100 177720 178275 185125 190160 222150 237700 285240 296200 297125 355440 356550 370250 444300 475400 555375 570480 592400 594250 713100 740500 888600 891375 950800 1110750 1188500 1426200 1481000 1777200 1782750 2221500 2377000 2852400 2962000 3520337 3565500 4443000 4754000 7040674 7131000 8886000 10561011 14081348 14262000 17601685 21122022 28162696 35203370 42244044 52805055 56325392 70406740 84488088 88008425 105610110 140813480 168976176 176016850 211220220 264025275 281626960 352033700 422440440 440042125 528050550 704067400 844880880 880084250 1056101100 1320126375 1408134800 1760168500 2112202200 2640252750 3520337000 4224404400 5280505500 7040674000 10561011000 21122022000