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20130020032212 = 2232653856305089
BaseRepresentation
bin1001001001110111000101…
…01100010111111011010100
32122021102002201002111022100
410210323202230113323110
510114302240112012322
6110451334210402100
74145226443041116
oct444734254277324
978242081074270
1020130020032212
116461103579712
1223113bab90330
13b3033938053c
144d842625d3b6
1524d964854dac
hex124ee2b17ed4

20130020032212 has 36 divisors (see below), whose sum is σ = 50962141126260. Its totient is φ = 6699731008512.

The previous prime is 20130020032211. The next prime is 20130020032223. The reversal of 20130020032212 is 21223002003102.

20130020032212 is a `hidden beast` number, since 2 + 0 + 130 + 0 + 200 + 322 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11800296744336 + 8329723287876 = 3435156^2 + 2886126^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×201300200322122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130020032211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428129037 + ... + 428176052.

It is an arithmetic number, because the mean of its divisors is an integer number (1415615031285).

Almost surely, 220130020032212 is an apocalyptic number.

It is an amenable number.

20130020032212 is an abundant number, since it is smaller than the sum of its proper divisors (30832121094048).

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

20130020032212 is a wasteful number, since it uses less digits than its factorization.

20130020032212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856305752 (or 856305747 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20130020032212 its reverse (21223002003102), we get a palindrome (41353022035314).

The spelling of 20130020032212 in words is "twenty trillion, one hundred thirty billion, twenty million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 653 1306 1959 2612 3918 5877 7836 11754 23508 856305089 1712610178 2568915267 3425220356 5137830534 7706745801 10275661068 15413491602 30826983204 559167223117 1118334446234 1677501669351 2236668892468 3355003338702 5032505008053 6710006677404 10065010016106 20130020032212