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135054202122 = 23371247928631
BaseRepresentation
bin111110111000111011…
…0111001010100001010
3110220121011022022112000
41331301312321110022
54203042333431442
6142013144131430
712520524530340
oct1756166712412
9426534268460
10135054202122
1152304637a84
1222211466b76
13c974030388
146772839990
1537a6924d4c
hex1f71db950a

135054202122 has 64 divisors (see below), whose sum is σ = 343034265600. Its totient is φ = 38582475120.

The previous prime is 135054202121. The next prime is 135054202141. The reversal of 135054202122 is 221202450531.

135054202122 is a `hidden beast` number, since 13 + 505 + 4 + 20 + 2 + 122 = 666.

135054202122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135054202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4702747 + ... + 4731377.

It is an arithmetic number, because the mean of its divisors is an integer number (5359910400).

Almost surely, 2135054202122 is an apocalyptic number.

135054202122 is an abundant number, since it is smaller than the sum of its proper divisors (207980063478).

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

135054202122 is a wasteful number, since it uses less digits than its factorization.

135054202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41128 (or 41122 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 135054202122 its reverse (221202450531), we get a palindrome (356256652653).

The spelling of 135054202122 in words is "one hundred thirty-five billion, fifty-four million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 12479 24958 28631 37437 57262 74874 85893 87353 112311 171786 174706 200417 224622 257679 262059 336933 400834 515358 524118 601251 673866 773037 786177 1202502 1546074 1572354 1803753 2358531 3607506 4717062 5411259 10822518 357286249 714572498 1071858747 2143717494 2501003743 3215576241 5002007486 6431152482 7503011229 9646728723 15006022458 19293457446 22509033687 45018067374 67527101061 135054202122