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402020301312131 = 47103233661539207
BaseRepresentation
bin101101101101000101010010…
…1010000001001000010000011
31221201102202200000121110220012
41123122022211100021002003
5410143200034113442011
63543005324331335135
7150452002560510335
oct13332124520110203
91851382600543805
10402020301312131
11107106941496797
123910a2895b14ab
1314342475a26b48
14713bc5a415455
15317270d544a8b
hex16da2a5409083

402020301312131 has 32 divisors (see below), whose sum is σ = 416969943257088. Its totient is φ = 387386641002240.

The previous prime is 402020301312083. The next prime is 402020301312167. The reversal of 402020301312131 is 131213103020204.

It is a cyclic number.

It is not a de Polignac number, because 402020301312131 - 238 = 401745423405187 is a prime.

It is a super-2 number, since 2×4020203013121312 (a number of 30 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 = 402020301312097 and 402020301312106.

It is not an unprimeable number, because it can be changed into a prime (402020301318131) 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 31 ways as a sum of consecutive naturals, for example, 745307330 + ... + 745846536.

It is an arithmetic number, because the mean of its divisors is an integer number (13030310726784).

Almost surely, 2402020301312131 is an apocalyptic number.

402020301312131 is a deficient number, since it is larger than the sum of its proper divisors (14949641944957).

402020301312131 is a wasteful number, since it uses less digits than its factorization.

402020301312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540251.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 402020301312131 its reverse (131213103020204), we get a palindrome (533233404332335).

The spelling of 402020301312131 in words is "four hundred two trillion, twenty billion, three hundred one million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 47 103 233 661 4841 10951 23999 31067 68083 154013 539207 1127953 3199901 7238611 15863339 25342729 55538321 125635231 356415827 745576933 2610301087 5904855857 12940428793 16751543869 36710830181 83044887691 608200153271 1725409018507 3903109721477 8553623432173 402020301312131