Search a number
-
+
22201100101000 = 235367331359703
BaseRepresentation
bin1010000110001000110001…
…01011110110010110001000
32220121101220211121221222201
411003010120223312112020
510402220323111213000
6115115013344125544
74450655646130342
oct503043053662610
986541824557881
1022201100101000
11708a4852531a7
1225a687b6068b4
13c50729a51bc2
1456a778d56292
1528777cb8d96a
hex143118af6588

22201100101000 has 64 divisors (see below), whose sum is σ = 52725956100480. Its totient is φ = 8747896132800.

The previous prime is 22201100100947. The next prime is 22201100101007. The reversal of 22201100101000 is 10100110222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22201100101007) 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 15 ways as a sum of consecutive naturals, for example, 165612852 + ... + 165746851.

It is an arithmetic number, because the mean of its divisors is an integer number (823843064070).

Almost surely, 222201100101000 is an apocalyptic number.

22201100101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201100101000 is an abundant number, since it is smaller than the sum of its proper divisors (30524855999480).

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

22201100101000 is a wasteful number, since it uses less digits than its factorization.

22201100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331359791 (or 331359777 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22201100101000 its reverse (10100110222), we get a palindrome (22211200211222).

The spelling of 22201100101000 in words is "twenty-two trillion, two hundred one billion, one hundred million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 2680 3350 6700 8375 13400 16750 33500 67000 331359703 662719406 1325438812 1656798515 2650877624 3313597030 6627194060 8283992575 13254388120 16567985150 22201100101 33135970300 41419962875 44402200202 66271940600 82839925750 88804400404 111005500505 165679851500 177608800808 222011001010 331359703000 444022002020 555027502525 888044004040 1110055005050 2220110010100 2775137512625 4440220020200 5550275025250 11100550050500 22201100101000