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122100220100 = 22521221002201
BaseRepresentation
bin111000110110110111…
…1011000000011000100
3102200011101002211212002
41301231233120003010
54000030124020400
6132031515244432
711551520514035
oct1615557300304
9380141084762
10122100220100
1147867433611
121b7b7149718
13b68b351461
145ca424ca8c
153299562ed5
hex1c6dbd80c4

122100220100 has 18 divisors (see below), whose sum is σ = 264957477834. Its totient is φ = 48840088000.

The previous prime is 122100220097. The next prime is 122100220111. The reversal of 122100220100 is 1022001221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13103838784 + 108996381316 = 114472^2 + 330146^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610501001 + ... + 610501200.

Almost surely, 2122100220100 is an apocalyptic number.

122100220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100220100 is an abundant number, since it is smaller than the sum of its proper divisors (142857257734).

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

122100220100 is a wasteful number, since it uses less digits than its factorization.

122100220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221002215 (or 1221002208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122100220100 its reverse (1022001221), we get a palindrome (123122221321).

The spelling of 122100220100 in words is "one hundred twenty-two billion, one hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1221002201 2442004402 4884008804 6105011005 12210022010 24420044020 30525055025 61050110050 122100220100