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22100201000200 = 23521393323239233
BaseRepresentation
bin1010000011001100110101…
…01000010100110100001000
32220020202111000011120022101
411001212122220110310020
510344042202424001300
6115000405302203144
74440454403666611
oct501463250246410
986222430146271
1022100201000200
11705070834a394
12258b2007234b4
13c44069ba216b
14565926730c08
15284d24a53b6a
hex14199aa14d08

22100201000200 has 96 divisors (see below), whose sum is σ = 51768419421600. Its totient is φ = 8773804892160.

The previous prime is 22100201000063. The next prime is 22100201000201. The reversal of 22100201000200 is 200010200122.

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 (22100201000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92259784 + ... + 92499016.

It is an arithmetic number, because the mean of its divisors is an integer number (539254368975).

Almost surely, 222100201000200 is an apocalyptic number.

22100201000200 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 22100201000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25884209710800).

22100201000200 is an abundant number, since it is smaller than the sum of its proper divisors (29668218421400).

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

22100201000200 is a wasteful number, since it uses less digits than its factorization.

22100201000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242711 (or 242702 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22100201000200 its reverse (200010200122), we get a palindrome (22300211200322).

The spelling of 22100201000200 in words is "twenty-two trillion, one hundred billion, two hundred one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 2780 3323 3475 5560 6646 6950 13292 13900 16615 26584 27800 33230 66460 83075 132920 166150 239233 332300 461897 478466 664600 923794 956932 1196165 1847588 1913864 2309485 2392330 3695176 4618970 4784660 5980825 9237940 9569320 11547425 11961650 18475880 23094850 23923300 33253387 46189700 47846600 66506774 92379400 133013548 166266935 266027096 332533870 665067740 794971259 831334675 1330135480 1589942518 1662669350 3179885036 3325338700 3974856295 6359770072 6650677400 7949712590 15899425180 19874281475 31798850360 39748562950 79497125900 110501005001 158994251800 221002010002 442004020004 552505025005 884008040008 1105010050010 2210020100020 2762525125025 4420040200040 5525050250050 11050100500100 22100201000200