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3011312023131 = 36120298110033
BaseRepresentation
bin101011110100100000001…
…011101111011001011011
3101122212201111211120221210
4223310200023233121123
5343314131334220011
610223213323234203
7430363055603256
oct53644013573133
911585644746853
103011312023131
11a610aa150125
12407742378963
1318ac722a4a09
14a5a693ca09d
15534e78b96a6
hex2bd202ef65b

3011312023131 has 16 divisors (see below), whose sum is σ = 4082915516960. Its totient is φ = 1973657387520.

The previous prime is 3011312023129. The next prime is 3011312023189. The reversal of 3011312023131 is 1313202131103.

It is a happy number.

It is not a de Polignac number, because 3011312023131 - 21 = 3011312023129 is a prime.

It is a super-3 number, since 3×30113120231313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3011312023098 and 3011312023107.

It is not an unprimeable number, because it can be changed into a prime (3011312023231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3683710 + ... + 4426323.

It is an arithmetic number, because the mean of its divisors is an integer number (255182219810).

Almost surely, 23011312023131 is an apocalyptic number.

3011312023131 is a deficient number, since it is larger than the sum of its proper divisors (1071603493829).

3011312023131 is a wasteful number, since it uses less digits than its factorization.

3011312023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112126.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 3011312023131 its reverse (1313202131103), we get a palindrome (4324514154234).

The spelling of 3011312023131 in words is "three trillion, eleven billion, three hundred twelve million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 61 183 2029 6087 123769 371307 8110033 24330099 494712013 1484136039 16455256957 49365770871 1003770674377 3011312023131