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122220210100 = 22525323060417
BaseRepresentation
bin111000111010011100…
…1000110011110110100
3102200110201212222012011
41301310321012132310
54000301333210400
6132051443134004
711554505434102
oct1616471063664
9380421788164
10122220210100
11479191388aa
121b82b374304
13b6aa173961
145cb6164c72
1532a4d658ba
hex1c74e467b4

122220210100 has 36 divisors (see below), whose sum is σ = 270221978124. Its totient is φ = 47965665280.

The previous prime is 122220210097. The next prime is 122220210109. The reversal of 122220210100 is 1012022221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13866004516 + 108354205584 = 117754^2 + 329172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220210109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11524909 + ... + 11535508.

It is an arithmetic number, because the mean of its divisors is an integer number (7506166059).

Almost surely, 2122220210100 is an apocalyptic number.

122220210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220210100 is an abundant number, since it is smaller than the sum of its proper divisors (148001768024).

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

122220210100 is a wasteful number, since it uses less digits than its factorization.

122220210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23060484 (or 23060477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122220210100 its reverse (1012022221), we get a palindrome (123232232321).

The spelling of 122220210100 in words is "one hundred twenty-two billion, two hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 23060417 46120834 92241668 115302085 230604170 461208340 576510425 1153020850 1222202101 2306041700 2444404202 4888808404 6111010505 12222021010 24444042020 30555052525 61110105050 122220210100