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401020200023413 = 17731060130482293
BaseRepresentation
bin101101100101110011100101…
…0100100011111010101110101
31221120220011020020121001102011
41123023213022210133111311
5410030303332201222123
63540522045302044221
7150316516253021035
oct13313471244372565
91846804206531364
10401020200023413
1110686079137a113
1238b88499719671
131429c072786069
1471056a47638c5
1531566c7e71e0d
hex16cb9ca91f575

401020200023413 has 16 divisors (see below), whose sum is σ = 430466810276016. Its totient is φ = 372225364070400.

The previous prime is 401020200023393. The next prime is 401020200023449. The reversal of 401020200023413 is 314320002020104.

It can be written as a sum of positive squares in 8 ways, for example, as 54362795310769 + 346657404712644 = 7373113^2 + 18618738^2 .

It is not a de Polignac number, because 401020200023413 - 233 = 401011610088821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401020200023453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2085306 + ... + 28396987.

It is an arithmetic number, because the mean of its divisors is an integer number (26904175642251).

Almost surely, 2401020200023413 is an apocalyptic number.

It is an amenable number.

401020200023413 is a deficient number, since it is larger than the sum of its proper divisors (29446610252603).

401020200023413 is a wasteful number, since it uses less digits than its factorization.

401020200023413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30492984.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 401020200023413 its reverse (314320002020104), we get a palindrome (715340202043517).

The spelling of 401020200023413 in words is "four hundred one trillion, twenty billion, two hundred million, twenty-three thousand, four hundred thirteen".

Divisors: 1 17 73 1241 10601 180217 773873 13155841 30482293 518198981 2225207389 37828525613 323142788093 5493427397581 23589423530789 401020200023413