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122293923280 = 2451528674041
BaseRepresentation
bin111000111100101001…
…0010010110111010000
3102200122212120222122221
41301321102102313100
54000424221021110
6132103035110424
711556362124244
oct1617122226720
9380585528587
10122293923280
1147956805691
121b84bba2414
13b6bc512619
145cc1c72424
1532ab5767da
hex1c79492dd0

122293923280 has 20 divisors (see below), whose sum is σ = 284333371812. Its totient is φ = 48917569280.

The previous prime is 122293923251. The next prime is 122293923289. The reversal of 122293923280 is 82329392221.

It can be written as a sum of positive squares in 2 ways, for example, as 18194772544 + 104099150736 = 134888^2 + 322644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122293923289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 764336941 + ... + 764337100.

Almost surely, 2122293923280 is an apocalyptic number.

122293923280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122293923280 is an abundant number, since it is smaller than the sum of its proper divisors (162039448532).

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

122293923280 is a wasteful number, since it uses less digits than its factorization.

122293923280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528674054 (or 1528674048 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 122293923280 in words is "one hundred twenty-two billion, two hundred ninety-three million, nine hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1528674041 3057348082 6114696164 7643370205 12229392328 15286740410 24458784656 30573480820 61146961640 122293923280