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133100331130 = 251326916572297
BaseRepresentation
bin111101111110101100…
…1011110000001111010
3110201112222202101101201
41323331121132001322
54140042141044010
6141051230004414
712421231101424
oct1737531360172
9421488671351
10133100331130
11514a1737868
122196704670a
13c7222b74b0
14662914b814
1536e012523a
hex1efd65e07a

133100331130 has 64 divisors (see below), whose sum is σ = 259238115360. Its totient is φ = 48911192064.

The previous prime is 133100331071. The next prime is 133100331149. The reversal of 133100331130 is 31133001331.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7793534961 + 125306796169 = 88281^2 + 353987^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133100331098 and 133100331107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57944142 + ... + 57946438.

Almost surely, 2133100331130 is an apocalyptic number.

133100331130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133100331130 is a deficient number, since it is larger than the sum of its proper divisors (126137784230).

133100331130 is a wasteful number, since it uses less digits than its factorization.

133100331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 133100331130 its reverse (31133001331), we get a palindrome (164233332461).

The spelling of 133100331130 in words is "one hundred thirty-three billion, one hundred million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 269 538 1345 1657 2297 2690 3314 3497 4594 6994 8285 11485 16570 17485 21541 22970 29861 34970 43082 59722 107705 149305 215410 298610 445733 617893 891466 1235786 2228665 3089465 3806129 4457330 5794529 6178930 7612258 8032609 11589058 16065218 19030645 28972645 38061290 40163045 49479677 57945290 80326090 98959354 247398385 494796770 1023848701 2047697402 5119243505 10238487010 13310033113 26620066226 66550165565 133100331130