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133013010132 = 22323694805837
BaseRepresentation
bin111101111100000110…
…0010111011011010100
3110201022220110000111200
41323320030113123110
54134402312311012
6141034430232500
712416120634312
oct1737014273324
9421286400450
10133013010132
1151457416252
1221941955730
13c70a192a72
14661b6db0b2
1536d76273dc
hex1ef83176d4

133013010132 has 18 divisors (see below), whose sum is σ = 336227331258. Its totient is φ = 44337670032.

The previous prime is 133013010083. The next prime is 133013010149. The reversal of 133013010132 is 231010310331.

It is a happy number.

133013010132 is a `hidden beast` number, since 1 + 330 + 1 + 301 + 0 + 1 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77677034436 + 55335975696 = 278706^2 + 235236^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1847402883 + ... + 1847402954.

It is an arithmetic number, because the mean of its divisors is an integer number (18679296181).

Almost surely, 2133013010132 is an apocalyptic number.

133013010132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133013010132 is an abundant number, since it is smaller than the sum of its proper divisors (203214321126).

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

133013010132 is a wasteful number, since it uses less digits than its factorization.

133013010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694805847 (or 3694805842 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133013010132 its reverse (231010310331), we get a palindrome (364023320463).

The spelling of 133013010132 in words is "one hundred thirty-three billion, thirteen million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3694805837 7389611674 11084417511 14779223348 22168835022 33253252533 44337670044 66506505066 133013010132