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122631775145 = 51121926939659
BaseRepresentation
bin111001000110101101…
…1000110001110101001
3102201112102022122021222
41302031123012032221
54002122213301040
6132200344311425
711600633614145
oct1621533061651
9381472278258
10122631775145
114800a492800
121b925172575
13b744504279
145d14a9a225
1532cb060bb5
hex1c8d6c63a9

122631775145 has 48 divisors (see below), whose sum is σ = 170902872000. Its totient is φ = 84176484480.

The previous prime is 122631775139. The next prime is 122631775157. The reversal of 122631775145 is 541577136221.

It is not a de Polignac number, because 122631775145 - 218 = 122631513001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122631775096 and 122631775105.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3072326 + ... + 3111984.

It is an arithmetic number, because the mean of its divisors is an integer number (3560476500).

Almost surely, 2122631775145 is an apocalyptic number.

It is an amenable number.

122631775145 is a deficient number, since it is larger than the sum of its proper divisors (48271096855).

122631775145 is a wasteful number, since it uses less digits than its factorization.

122631775145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39974 (or 39963 counting only the distinct ones).

The product of its digits is 352800, while the sum is 44.

The spelling of 122631775145 in words is "one hundred twenty-two billion, six hundred thirty-one million, seven hundred seventy-five thousand, one hundred forty-five".

Divisors: 1 5 11 19 55 95 121 209 269 605 1045 1345 2299 2959 5111 11495 14795 25555 32549 39659 56221 162745 198295 281105 436249 618431 753521 2181245 3092155 3767605 4798739 8288731 10668271 23993695 41443655 53341355 91176041 117350981 202697149 455880205 586754905 1013485745 1290860791 2229668639 6454303955 11148343195 24526355029 122631775145