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122700106064 = 24139173318907
BaseRepresentation
bin111001001000101111…
…1110000100101010000
3102201201011220012200202
41302101133300211100
54002242211343224
6132211225034332
711602423456514
oct1622137604520
9381634805622
10122700106064
1148045013838
121b9440259a8
13b75570a173
145d1dba6144
1532d205beae
hex1c917f0950

122700106064 has 40 divisors (see below), whose sum is σ = 240826565280. Its totient is φ = 60556422528.

The previous prime is 122700106063. The next prime is 122700106069. The reversal of 122700106064 is 460601007221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122700106063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 225299 + ... + 544205.

It is an arithmetic number, because the mean of its divisors is an integer number (6020664132).

Almost surely, 2122700106064 is an apocalyptic number.

It is an amenable number.

122700106064 is a deficient number, since it is larger than the sum of its proper divisors (118126459216).

122700106064 is a wasteful number, since it uses less digits than its factorization.

122700106064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319227 (or 319221 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 122700106064 in words is "one hundred twenty-two billion, seven hundred million, one hundred six thousand, sixty-four".

Divisors: 1 2 4 8 16 139 173 278 346 556 692 1112 1384 2224 2768 24047 48094 96188 192376 318907 384752 637814 1275628 2551256 5102512 44328073 55170911 88656146 110341822 177312292 220683644 354624584 441367288 709249168 882734576 7668756629 15337513258 30675026516 61350053032 122700106064