Search a number
-
+
20022022201000 = 2353791275719867
BaseRepresentation
bin1001000110101101111011…
…00001010101111010101000
32121220002100011010020011211
410203112331201111322220
510111020100140413000
6110325553502202504
74134354242444341
oct443267541257250
977802304106154
1020022022201000
11641a323617656
1222b449a883434
13b230b7909bc1
144d30dcd3b0c8
1524ac433ec7ba
hex1235bd855ea8

20022022201000 has 128 divisors (see below), whose sum is σ = 47450696716800. Its totient is φ = 7906413715200.

The previous prime is 20022022200979. The next prime is 20022022201033. The reversal of 20022022201000 is 10222022002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007793067 + ... + 1007812933.

It is an arithmetic number, because the mean of its divisors is an integer number (370708568100).

Almost surely, 220022022201000 is an apocalyptic number.

20022022201000 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 20022022201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23725348358400).

20022022201000 is an abundant number, since it is smaller than the sum of its proper divisors (27428674515800).

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

20022022201000 is a wasteful number, since it uses less digits than its factorization.

20022022201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32724 (or 32710 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20022022201000 its reverse (10222022002), we get a palindrome (20032244223002).

The spelling of 20022022201000 in words is "twenty trillion, twenty-two billion, twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1975 3160 3950 7900 9875 12757 15800 19750 19867 25514 39500 39734 51028 63785 79000 79468 99335 102056 127570 158936 198670 255140 318925 397340 496675 510280 637850 794680 993350 1007803 1275700 1569493 1594625 1986700 2015606 2483375 2551400 3138986 3189250 3973400 4031212 4966750 5039015 6277972 6378500 7847465 8062424 9933500 10078030 12555944 12757000 15694930 19867000 20156060 25195075 31389860 39237325 40312120 50390150 62779720 78474650 100780300 125975375 156949300 196186625 201560600 251950750 253443319 313898600 392373250 503901500 506886638 784746500 1007803000 1013773276 1267216595 1569493000 2027546552 2534433190 5068866380 6336082975 10137732760 12672165950 20022022201 25344331900 31680414875 40044044402 50688663800 63360829750 80088088804 100110111005 126721659500 160176177608 200220222010 253443319000 400440444020 500550555025 800880888040 1001101110050 2002202220100 2502752775125 4004404440200 5005505550250 10011011100500 20022022201000