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1222210022100 = 2235237110109011
BaseRepresentation
bin10001110010010001011…
…001001110101011010100
311022211201220210010121120
4101302101121032223110
5130011041231201400
62333250414243540
7154205334530034
oct21622131165324
94284656703546
101222210022100
11431377770461
12178a577b65b0
138b33bac2912
14432261398c4
1521bd49a2ca0
hex11c9164ead4

1222210022100 has 72 divisors (see below), whose sum is σ = 3631835651808. Its totient is φ = 317113948800.

The previous prime is 1222210022093. The next prime is 1222210022101. The reversal of 1222210022100 is 12200122221.

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 1222210022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222210022101) 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 23 ways as a sum of consecutive naturals, for example, 55043406 + ... + 55065605.

Almost surely, 21222210022100 is an apocalyptic number.

1222210022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222210022100 is an abundant number, since it is smaller than the sum of its proper divisors (2409625629708).

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

1222210022100 is a wasteful number, since it uses less digits than its factorization.

1222210022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110109065 (or 110109058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1222210022100 its reverse (12200122221), we get a palindrome (1234410144321).

The spelling of 1222210022100 in words is "one trillion, two hundred twenty-two billion, two hundred ten million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 110109011 220218022 330327033 440436044 550545055 660654066 1101090110 1321308132 1651635165 2202180220 2752725275 3303270330 4074033407 5505450550 6606540660 8148066814 8258175825 11010901100 12222100221 16296133628 16516351650 20370167035 24444200442 33032703300 40740334070 48888400884 61110501105 81480668140 101850835175 122221002210 203701670350 244442004420 305552505525 407403340700 611105011050 1222210022100