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22103122020 = 22357123142751
BaseRepresentation
bin10100100101011100…
…101110000001100100
32010001101220221021220
4110211130232001210
5330231344401040
614053134340340
71411510302660
oct244534560144
963041827256
1022103122020
1194126aa7a1
12434a35a6b0
132113319835
1410d97458a0
158956ed2d0
hex52572e064

22103122020 has 96 divisors (see below), whose sum is σ = 70789103616. Its totient is φ = 5047920000.

The previous prime is 22103121983. The next prime is 22103122021. The reversal of 22103122020 is 2022130122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22103122021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495645 + ... + 538395.

It is an arithmetic number, because the mean of its divisors is an integer number (737386496).

Almost surely, 222103122020 is an apocalyptic number.

22103122020 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 22103122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35394551808).

22103122020 is an abundant number, since it is smaller than the sum of its proper divisors (48685981596).

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

22103122020 is a wasteful number, since it uses less digits than its factorization.

22103122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44001 (or 43999 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22103122020 its reverse (2022130122), we get a palindrome (24125252142).

The spelling of 22103122020 in words is "twenty-two billion, one hundred three million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1231 2462 3693 4924 6155 7386 8617 12310 14772 17234 18465 24620 25851 34468 36930 42751 43085 51702 73860 85502 86170 103404 128253 129255 171004 172340 213755 256506 258510 299257 427510 513012 517020 598514 641265 855020 897771 1197028 1282530 1496285 1795542 2565060 2992570 3591084 4488855 5985140 8977710 17955420 52626481 105252962 157879443 210505924 263132405 315758886 368385367 526264810 631517772 736770734 789397215 1052529620 1105156101 1473541468 1578794430 1841926835 2210312202 3157588860 3683853670 4420624404 5525780505 7367707340 11051561010 22103122020