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1220221013100 = 2235237109929821
BaseRepresentation
bin10001110000011010110…
…101110000110001101100
311022122121022010000012120
4101300122311300301230
5124443003034404400
62332321203032540
7154105133323005
oct21603265606154
94278538100176
101220221013100
11430546a50571
121785a166b750
138b0b29c620b
14430b7d021ac
1521b1a061ca0
hex11c1ad70c6c

1220221013100 has 72 divisors (see below), whose sum is σ = 3625925248848. Its totient is φ = 316597881600.

The previous prime is 1220221013083. The next prime is 1220221013119. The reversal of 1220221013100 is 13101220221.

It is a super-2 number, since 2×12202210131002 (a number of 25 digits) contains 22 as substring.

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 1220221013100.

It is an unprimeable number.

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, 54953811 + ... + 54976010.

Almost surely, 21220221013100 is an apocalyptic number.

1220221013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220221013100 is an abundant number, since it is smaller than the sum of its proper divisors (2405704235748).

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

1220221013100 is a wasteful number, since it uses less digits than its factorization.

1220221013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109929875 (or 109929868 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1220221013100 its reverse (13101220221), we get a palindrome (1233322233321).

The spelling of 1220221013100 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, thirteen 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 109929821 219859642 329789463 439719284 549649105 659578926 1099298210 1319157852 1648947315 2198596420 2748245525 3297894630 4067403377 5496491050 6595789260 8134806754 8244736575 10992982100 12202210131 16269613508 16489473150 20337016885 24404420262 32978946300 40674033770 48808840524 61011050655 81348067540 101685084425 122022101310 203370168850 244044202620 305055253275 406740337700 610110506550 1220221013100