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131212021122021 = 3727317097154699
BaseRepresentation
bin11101110101011000101101…
…111010001100001111100101
3122012120202011100120200001210
4131311120231322030033211
5114144234204401401041
61143021545332542033
736431520126232500
oct3565305572141745
9565522140520053
10131212021122021
1138898784262204
1212871928481919
13582a3184bb738
1424589a5042137
1510281d47c8016
hex77562de8c3e5

131212021122021 has 48 divisors (see below), whose sum is σ = 206421108264000. Its totient is φ = 73907915864832.

The previous prime is 131212021121983. The next prime is 131212021122043. The reversal of 131212021122021 is 120221120212131.

It is not a de Polignac number, because 131212021122021 - 231 = 131209873638373 is a prime.

It is a super-2 number, since 2×1312120211220212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212021122121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14761930 + ... + 21916628.

It is an arithmetic number, because the mean of its divisors is an integer number (4300439755500).

Almost surely, 2131212021122021 is an apocalyptic number.

It is an amenable number.

131212021122021 is a deficient number, since it is larger than the sum of its proper divisors (75209087141979).

131212021122021 is a wasteful number, since it uses less digits than its factorization.

131212021122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156498 (or 7156491 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 131212021122021 its reverse (120221120212131), we get a palindrome (251433141334152).

The spelling of 131212021122021 in words is "one hundred thirty-one trillion, two hundred twelve billion, twenty-one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 21 49 73 147 219 511 1533 1709 3577 5127 10731 11963 35889 83741 124757 251223 374271 873299 2619897 6113093 7154699 18339279 21464097 50082893 150248679 350580251 522293027 1051740753 1566879081 3656051189 10968153567 12227380591 25592358323 36682141773 76777074969 85591664137 256774992411 599141648959 892598783143 1797424946877 2677796349429 6248191482001 18744574446003 43737340374007 131212021122021