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1220210220200 = 235237431382583
BaseRepresentation
bin10001110000011010001…
…100100101110010101000
311022122120112210200010112
4101300122030211302220
5124442442304021300
62332320135433452
7154104642511556
oct21603214456250
94278515720115
101220210220200
11430540949714
12178599b25888
138b0b06b779a
14430b66d2bd6
1521b1912de35
hex11c1a325ca8

1220210220200 has 96 divisors (see below), whose sum is σ = 2920432008960. Its totient is φ = 473789548800.

The previous prime is 1220210220143. The next prime is 1220210220211. The reversal of 1220210220200 is 20220120221.

It is an unprimeable number.

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, 2998109 + ... + 3380691.

It is an arithmetic number, because the mean of its divisors is an integer number (30421166760).

Almost surely, 21220210220200 is an apocalyptic number.

1220210220200 is a gapful number since it is divisible by the number (10) 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 1220210220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460216004480).

1220210220200 is an abundant number, since it is smaller than the sum of its proper divisors (1700221788760).

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

1220210220200 is a wasteful number, since it uses less digits than its factorization.

1220210220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383067 (or 383058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1220210220200 its reverse (20220120221), we get a palindrome (1240430340421).

The spelling of 1220210220200 in words is "one trillion, two hundred twenty billion, two hundred ten million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 431 740 862 925 1480 1724 1850 2155 3448 3700 4310 7400 8620 10775 15947 17240 21550 31894 43100 63788 79735 86200 127576 159470 318940 382583 398675 637880 765166 797350 1530332 1594700 1912915 3060664 3189400 3825830 7651660 9564575 14155571 15303320 19129150 28311142 38258300 56622284 70777855 76516600 113244568 141555710 164893273 283111420 329786546 353889275 566222840 659573092 707778550 824466365 1319146184 1415557100 1648932730 2831114200 3297865460 4122331825 6101051101 6595730920 8244663650 12202102202 16489327300 24404204404 30505255505 32978654600 48808408808 61010511010 122021022020 152526277525 244042044040 305052555050 610105110100 1220210220200