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20121431420133 = 32171812233258247
BaseRepresentation
bin1001001001100111000101…
…10001011010110011100101
32122020120221011002210102200
410210303202301122303211
510114132142420421013
6110443354042525113
74144503554041551
oct444634261326345
978216834083380
1020121431420133
1164584a65212aa
12230b802806799
13b2c59abcb064
144d7c4d734861
1524d61083ae73
hex124ce2c5ace5

20121431420133 has 48 divisors (see below), whose sum is σ = 31082747544576. Its totient is φ = 12499152975360.

The previous prime is 20121431420107. The next prime is 20121431420141. The reversal of 20121431420133 is 33102413412102.

20121431420133 is a `hidden beast` number, since 2 + 0 + 1 + 21 + 431 + 4 + 201 + 3 + 3 = 666.

It is not a de Polignac number, because 20121431420133 - 216 = 20121431354597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121431420097 and 20121431420106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121431420143) 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, 4546416 + ... + 7804662.

It is an arithmetic number, because the mean of its divisors is an integer number (647557240512).

Almost surely, 220121431420133 is an apocalyptic number.

It is an amenable number.

20121431420133 is a deficient number, since it is larger than the sum of its proper divisors (10961316124443).

20121431420133 is a wasteful number, since it uses less digits than its factorization.

20121431420133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258674 (or 3258671 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20121431420133 its reverse (33102413412102), we get a palindrome (53223844832235).

The spelling of 20121431420133 in words is "twenty trillion, one hundred twenty-one billion, four hundred thirty-one million, four hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 9 17 51 153 181 223 543 669 1629 2007 3077 3791 9231 11373 27693 34119 40363 121089 363267 686171 2058513 3258247 6175539 9774741 29324223 55390199 166170597 498511791 589742707 726589081 1769228121 2179767243 5307684363 6539301729 10025626019 12352014377 30076878057 37056043131 90230634171 111168129393 131512623661 394537870983 1183613612949 2235714602237 6707143806711 20121431420133