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133112332031 = 7231187696533
BaseRepresentation
bin111101111111000011…
…1001111111011111111
3110201120211100002112112
41323332013033323333
54140103224111111
6141052335124235
712421435103450
oct1737607177377
9421524302475
10133112332031
11514a8494268
122196b07367b
13c724929a13
14662a993127
1536e11e5e8b
hex1efe1cfeff

133112332031 has 16 divisors (see below), whose sum is σ = 158876619264. Its totient is φ = 109043477664.

The previous prime is 133112332021. The next prime is 133112332061. The reversal of 133112332031 is 130233211331.

It is not a de Polignac number, because 133112332031 - 218 = 133112069887 is a prime.

It is a super-2 number, since 2×1331123320312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133112331988 and 133112332006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133112332021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157160 + ... + 539373.

It is an arithmetic number, because the mean of its divisors is an integer number (9929788704).

Almost surely, 2133112332031 is an apocalyptic number.

133112332031 is a deficient number, since it is larger than the sum of its proper divisors (25764287233).

133112332031 is a wasteful number, since it uses less digits than its factorization.

133112332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697750.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 133112332031 its reverse (130233211331), we get a palindrome (263345543362).

The spelling of 133112332031 in words is "one hundred thirty-three billion, one hundred twelve million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 7 23 161 1187 8309 27301 191107 696533 4875731 16020259 112141813 826784671 5787492697 19016047433 133112332031