Search a number
-
+
1022100001200 = 24335294638889
BaseRepresentation
bin11101101111110011110…
…10000101000110110000
310121201012220110210211000
432313321322011012300
5113221230100014300
62101313554122000
7133562406443265
oct16677172050660
93551186423730
101022100001200
113645198939a3
1214610b280300
13754caa61a25
14376815b926c
151b8c1a49c00
hexedf9e851b0

1022100001200 has 120 divisors (see below), whose sum is σ = 3637918931600. Its totient is φ = 272559997440.

The previous prime is 1022100001189. The next prime is 1022100001207. The reversal of 1022100001200 is 21000012201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1022100001207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47308645 + ... + 47330244.

Almost surely, 21022100001200 is an apocalyptic number.

1022100001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022100001200 is an abundant number, since it is smaller than the sum of its proper divisors (2615818930400).

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

1022100001200 is a wasteful number, since it uses less digits than its factorization.

1022100001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94638916 (or 94638899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1022100001200 its reverse (21000012201), we get a palindrome (1043100013401).

The spelling of 1022100001200 in words is "one trillion, twenty-two billion, one hundred million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 94638889 189277778 283916667 378555556 473194445 567833334 757111112 851750001 946388890 1135666668 1419583335 1514222224 1703500002 1892777780 2271333336 2365972225 2555250003 2839166670 3407000004 3785555560 4258750005 4542666672 4731944450 5110500006 5678333340 6814000008 7097916675 7571111120 8517500010 9463888900 10221000012 11356666680 12776250015 13628000016 14195833350 17035000020 18927777800 20442000024 21293750025 22713333360 25552500030 28391666700 34070000040 37855555600 40884000048 42587500050 51105000060 56783333400 63881250075 68140000080 85175000100 102210000120 113566666800 127762500150 170350000200 204420000240 255525000300 340700000400 511050000600 1022100001200