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20122123400 = 2352672575843
BaseRepresentation
bin10010101111010111…
…110011110010001000
31220221100022210001122
4102233113303302020
5312202230422100
613124410534412
71311434140541
oct225727636210
956840283048
1020122123400
118596461155
123a96a37408
131b88a961c2
14d8c5d54c8
157cb840985
hex4af5f3c88

20122123400 has 96 divisors (see below), whose sum is σ = 47675118240. Its totient is φ = 7896514560.

The previous prime is 20122123393. The next prime is 20122123409. The reversal of 20122123400 is 432122102.

It is not an unprimeable number, because it can be changed into a prime (20122123409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3440879 + ... + 3446721.

It is an arithmetic number, because the mean of its divisors is an integer number (496615815).

Almost surely, 220122123400 is an apocalyptic number.

20122123400 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 20122123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23837559120).

20122123400 is an abundant number, since it is smaller than the sum of its proper divisors (27552994840).

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

20122123400 is a wasteful number, since it uses less digits than its factorization.

20122123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20122123400 its reverse (432122102), we get a palindrome (20554245502).

The spelling of 20122123400 in words is "twenty billion, one hundred twenty-two million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 257 268 335 514 536 670 1028 1285 1340 1675 2056 2570 2680 3350 5140 5843 6425 6700 10280 11686 12850 13400 17219 23372 25700 29215 34438 46744 51400 58430 68876 86095 116860 137752 146075 172190 233720 292150 344380 391481 430475 584300 688760 782962 860950 1168600 1501651 1565924 1721900 1957405 3003302 3131848 3443800 3914810 6006604 7508255 7829620 9787025 12013208 15016510 15659240 19574050 30033020 37541275 39148100 60066040 75082550 78296200 100610617 150165100 201221234 300330200 402442468 503053085 804884936 1006106170 2012212340 2515265425 4024424680 5030530850 10061061700 20122123400