Search a number
-
+
220100220120 = 233511166742591
BaseRepresentation
bin1100110011111011111…
…1101101010011011000
3210001010011101122220110
43030332333231103120
512101231124020440
6245040155324320
721621201000564
oct3147677552330
9701104348813
10220100220120
1185386922070
12367a71506a0
13179a86b6851
14a91d8146a4
155ad2dda080
hex333efed4d8

220100220120 has 64 divisors (see below), whose sum is σ = 720327997440. Its totient is φ = 53357628800.

The previous prime is 220100220113. The next prime is 220100220161. The reversal of 220100220120 is 21022001022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220100220096 and 220100220105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83369976 + ... + 83372615.

It is an arithmetic number, because the mean of its divisors is an integer number (11255124960).

Almost surely, 2220100220120 is an apocalyptic number.

220100220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100220120 is an abundant number, since it is smaller than the sum of its proper divisors (500227777320).

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

220100220120 is a wasteful number, since it uses less digits than its factorization.

220100220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166742616 (or 166742612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220100220120 its reverse (21022001022), we get a palindrome (241122221142).

The spelling of 220100220120 in words is "two hundred twenty billion, one hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 166742591 333485182 500227773 666970364 833712955 1000455546 1333940728 1667425910 1834168501 2000911092 2501138865 3334851820 3668337002 4001822184 5002277730 5502505503 6669703640 7336674004 9170842505 10004555460 11005011006 14673348008 18341685010 20009110920 22010022012 27512527515 36683370020 44020044024 55025055030 73366740040 110050110060 220100220120