Search a number
-
+
122021101100 = 22527915445709
BaseRepresentation
bin111000110100100000…
…1100011111000101100
3102122221212020011222202
41301221001203320230
53444344400213400
6132020011401032
711546540150303
oct1615101437054
9378855204882
10122021101100
1147826804308
121b794753178
13b677b3c092
145c9793543a
1532926354d5
hex1c69063e2c

122021101100 has 36 divisors (see below), whose sum is σ = 268137525600. Its totient is φ = 48190608960.

The previous prime is 122021101099. The next prime is 122021101121. The reversal of 122021101100 is 1101120221.

It is a super-2 number, since 2×1220211011002 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 7714955 + ... + 7730754.

It is an arithmetic number, because the mean of its divisors is an integer number (7448264600).

Almost surely, 2122021101100 is an apocalyptic number.

122021101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021101100 is an abundant number, since it is smaller than the sum of its proper divisors (146116424500).

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

122021101100 is a wasteful number, since it uses less digits than its factorization.

122021101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15445802 (or 15445795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122021101100 its reverse (1101120221), we get a palindrome (123122221321).

The spelling of 122021101100 in words is "one hundred twenty-two billion, twenty-one million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 7900 15445709 30891418 61782836 77228545 154457090 308914180 386142725 772285450 1220211011 1544570900 2440422022 4880844044 6101055055 12202110110 24404220220 30505275275 61010550550 122021101100