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1220112221100 = 2235219121293407
BaseRepresentation
bin10001110000010100010…
…110110000001110101100
311022122022201101210122020
4101300110112300032230
5124442242212033400
62332302315150140
7154102342522113
oct21602426601654
94278281353566
101220112221100
114304a05a4523
12178571145350
138b0962c4956
14430a76a2c7a
1521b107222a0
hex11c145b03ac

1220112221100 has 72 divisors (see below), whose sum is σ = 3548674203648. Its totient is φ = 323659771200.

The previous prime is 1220112221087. The next prime is 1220112221113. The reversal of 1220112221100 is 11222110221.

It is an interprime number because it is at equal distance from previous prime (1220112221087) and next prime (1220112221113).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220112221100.

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, 10589404 + ... + 10704003.

Almost surely, 21220112221100 is an apocalyptic number.

1220112221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220112221100 is an abundant number, since it is smaller than the sum of its proper divisors (2328561982548).

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

1220112221100 is a wasteful number, since it uses less digits than its factorization.

1220112221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21293615 (or 21293608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220112221100 its reverse (11222110221), we get a palindrome (1231334331321).

The spelling of 1220112221100 in words is "one trillion, two hundred twenty billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 573 764 955 1146 1910 2292 2865 3820 4775 5730 9550 11460 14325 19100 28650 57300 21293407 42586814 63880221 85173628 106467035 127760442 212934070 255520884 319401105 425868140 532335175 638802210 1064670350 1277604420 1597005525 2129340700 3194011050 4067040737 6388022100 8134081474 12201122211 16268162948 20335203685 24402244422 40670407370 48804488844 61005611055 81340814740 101676018425 122011222110 203352036850 244022444220 305028055275 406704073700 610056110550 1220112221100