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2131212202029 = 321073316686093
BaseRepresentation
bin11111000000110110001…
…001010111000000101101
321112202000211202100011100
4133000312021113000231
5234404210310431104
64311022041513313
7306655265551101
oct37006611270055
97482024670140
102131212202029
11751929800279
122a50627a2839
13125c846132c1
1475218d43901
153a68748c139
hex1f03625702d

2131212202029 has 24 divisors (see below), whose sum is σ = 3116575624032. Its totient is φ = 1403276988960.

The previous prime is 2131212202003. The next prime is 2131212202037. The reversal of 2131212202029 is 9202022121312.

2131212202029 is a `hidden beast` number, since 21 + 312 + 122 + 0 + 202 + 9 = 666.

It is not a de Polignac number, because 2131212202029 - 28 = 2131212201773 is a prime.

It is a super-2 number, since 2×21312122020292 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2131212201993 and 2131212202011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131212202039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024294 + ... + 3661799.

It is an arithmetic number, because the mean of its divisors is an integer number (129857317668).

Almost surely, 22131212202029 is an apocalyptic number.

It is an amenable number.

2131212202029 is a deficient number, since it is larger than the sum of its proper divisors (985363422003).

2131212202029 is a wasteful number, since it uses less digits than its factorization.

2131212202029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686537 (or 6686534 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2131212202029 in words is "two trillion, one hundred thirty-one billion, two hundred twelve million, two hundred two thousand, twenty-nine".

Divisors: 1 3 9 107 321 331 963 993 2979 35417 106251 318753 6686093 20058279 60174837 715411951 2146235853 2213096783 6438707559 6639290349 19917871047 236801355781 710404067343 2131212202029