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20201301212131 = 1321932272728409
BaseRepresentation
bin1001001011111011110110…
…11000011111101111100011
32122112020002102012121122001
410211331323120133233203
510121434231102242011
6110544203305424431
74153332035055154
oct445757330375743
978466072177561
1020201301212131
116489361984166
122323192a9b117
13b36c89073800
144dba6909792b
152507376897c1
hex125f7b61fbe3

20201301212131 has 24 divisors (see below), whose sum is σ = 22084994694960. Its totient is φ = 18469008470016.

The previous prime is 20201301212021. The next prime is 20201301212137. The reversal of 20201301212131 is 13121210310202.

It is a de Polignac number, because none of the positive numbers 2k-20201301212131 is a prime.

It is a super-2 number, since 2×202013012121312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20201301212099 and 20201301212108.

It is not an unprimeable number, because it can be changed into a prime (20201301212137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6039855 + ... + 8768263.

It is an arithmetic number, because the mean of its divisors is an integer number (920208112290).

Almost surely, 220201301212131 is an apocalyptic number.

20201301212131 is a deficient number, since it is larger than the sum of its proper divisors (1883693482829).

20201301212131 is a wasteful number, since it uses less digits than its factorization.

20201301212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728855 (or 2728842 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 20201301212131 its reverse (13121210310202), we get a palindrome (33322511522333).

The spelling of 20201301212131 in words is "twenty trillion, two hundred one billion, three hundred one million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 13 169 193 227 2509 2951 32617 38363 43811 569543 2728409 7404059 35469317 461101121 526582937 619348843 6845578181 8051534959 88992516353 104669954467 119534326699 1553946247087 20201301212131