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122155432025 = 52112170923629
BaseRepresentation
bin111000111000100000…
…1111111100001011001
3102200022012222220101012
41301301001333201121
54000133242311100
6132041210503305
711553061016534
oct1616101774131
9380265886335
10122155432025
1147895614100
121b811734b35
13b699912c33
145cab701a1b
15329e31c135
hex1c7107f859

122155432025 has 36 divisors (see below), whose sum is σ = 166599297900. Its totient is φ = 88784572800.

The previous prime is 122155431991. The next prime is 122155432027. The reversal of 122155432025 is 520234551221.

It can be written as a sum of positive squares in 6 ways, for example, as 43943479129 + 78211952896 = 209627^2 + 279664^2 .

It is not a de Polignac number, because 122155432025 - 212 = 122155427929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122155431982 and 122155432000.

It is not an unprimeable number, because it can be changed into a prime (122155432027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5157911 + ... + 5181539.

It is an arithmetic number, because the mean of its divisors is an integer number (4627758275).

Almost surely, 2122155432025 is an apocalyptic number.

It is an amenable number.

122155432025 is a deficient number, since it is larger than the sum of its proper divisors (44443865875).

122155432025 is a wasteful number, since it uses less digits than its factorization.

122155432025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25370 (or 25354 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 122155432025 its reverse (520234551221), we get a palindrome (642389983246).

The spelling of 122155432025 in words is "one hundred twenty-two billion, one hundred fifty-five million, four hundred thirty-two thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 605 1709 3025 8545 18799 23629 42725 93995 118145 206789 259919 469975 590725 1033945 1299595 2859109 5169725 6497975 14295545 40381961 71477725 201909805 444201571 1009549025 2221007855 4886217281 11105039275 24431086405 122155432025