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13023001230021 = 3257715649160253
BaseRepresentation
bin1011110110000010011101…
…0111001011101011000101
31201002222122100101002010200
42331200213113023223011
53201332101303330041
643410403440441113
72512611053003136
oct275404727135305
951088570332120
1013023001230021
11417102975a302
121563b40919199
137360aa0883b3
14330460b53c8d
15178b58b3b1b6
hexbd8275cbac5

13023001230021 has 24 divisors (see below), whose sum is σ = 18844924901400. Its totient is φ = 8666346110976.

The previous prime is 13023001230017. The next prime is 13023001230047. The reversal of 13023001230021 is 12003210032031.

13023001230021 is a `hidden beast` number, since 1 + 30 + 2 + 300 + 12 + 300 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7309534068225 + 5713467161796 = 2703615^2 + 2390286^2 .

It is not a de Polignac number, because 13023001230021 - 22 = 13023001230017 is a prime.

It is a super-2 number, since 2×130230012300212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13023001229976 and 13023001230003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023001240021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81185131 + ... + 81345383.

It is an arithmetic number, because the mean of its divisors is an integer number (785205204225).

Almost surely, 213023001230021 is an apocalyptic number.

It is an amenable number.

13023001230021 is a deficient number, since it is larger than the sum of its proper divisors (5821923671379).

13023001230021 is a wasteful number, since it uses less digits than its factorization.

13023001230021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176485 (or 176482 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13023001230021 its reverse (12003210032031), we get a palindrome (25026211262052).

The spelling of 13023001230021 in words is "thirteen trillion, twenty-three billion, one million, two hundred thirty thousand, twenty-one".

Divisors: 1 3 9 577 1731 5193 15649 46947 140841 160253 480759 1442277 9029473 27088419 81265257 92465981 277397943 832193829 2507799197 7523397591 22570192773 1447000136669 4341000410007 13023001230021