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112220211202020 = 223251016172728889
BaseRepresentation
bin11001100001000001001101…
…110100110100011111100100
3112201100010222110121202112100
4121201001031310310133210
5104202103443031431040
61034401130415052100
732431433306410065
oct3141011564643744
9481303873552470
10112220211202020
1132836362715419
1210705041811030
134a8042220961c
141d9d6b6c5456c
15ce918a1edb30
hex66104dd347e4

112220211202020 has 72 divisors (see below), whose sum is σ = 343771617341880. Its totient is φ = 29629098662400.

The previous prime is 112220211201997. The next prime is 112220211202051. The reversal of 112220211202020 is 20202112022211.

It is a happy number.

112220211202020 is a `hidden beast` number, since 1 + 12 + 220 + 211 + 20 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10429747758144 + 101790463443876 = 3229512^2 + 10089126^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112220211201984 and 112220211202002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3086346265 + ... + 3086382624.

It is an arithmetic number, because the mean of its divisors is an integer number (4774605796415).

Almost surely, 2112220211202020 is an apocalyptic number.

112220211202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112220211202020 is an abundant number, since it is smaller than the sum of its proper divisors (231551406139860).

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

112220211202020 is a wasteful number, since it uses less digits than its factorization.

112220211202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172729005 (or 6172729000 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112220211202020 its reverse (20202112022211), we get a palindrome (132422323224231).

The spelling of 112220211202020 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred eleven million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 6172728889 12345457778 18518186667 24690915556 30863644445 37036373334 55554560001 61727288890 74072746668 92590933335 111109120002 123454577780 185181866670 222218240004 277772800005 370363733340 555545600010 623445617789 1111091200020 1246891235578 1870336853367 2493782471156 3117228088945 3740673706734 5611010560101 6234456177890 7481347413468 9351684266835 11222021120202 12468912355780 18703368533670 22444042240404 28055052800505 37406737067340 56110105601010 112220211202020