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1002413543521 = 13377364144537
BaseRepresentation
bin11101001011001001000…
…00001101000001100001
310112211101220221010202211
432211210200031001201
5112410420331343041
62044300305042121
7132264512351035
oct16454440150141
93484356833684
101002413543521
11357137348965
12142336326341
13736b1316bc0
1436734bd01c5
151b11d5b5481
hexe96480d061

1002413543521 has 32 divisors (see below), whose sum is σ = 1125664813728. Its totient is φ = 886558556160.

The previous prime is 1002413543519. The next prime is 1002413543533. The reversal of 1002413543521 is 1253453142001.

It can be written as a sum of positive squares in 16 ways, for example, as 77231189025 + 925182354496 = 277905^2 + 961864^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002413543521 - 21 = 1002413543519 is a prime.

It is a super-2 number, since 2×10024135435212 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002413543561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22485165 + ... + 22529701.

It is an arithmetic number, because the mean of its divisors is an integer number (35177025429).

Almost surely, 21002413543521 is an apocalyptic number.

It is an amenable number.

1002413543521 is a deficient number, since it is larger than the sum of its proper divisors (123251270207).

1002413543521 is a wasteful number, since it uses less digits than its factorization.

1002413543521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45301.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 1002413543521 its reverse (1253453142001), we get a palindrome (2255866685522).

The spelling of 1002413543521 in words is "one trillion, two billion, four hundred thirteen million, five hundred forty-three thousand, five hundred twenty-one".

Divisors: 1 13 37 73 481 641 949 2701 8333 23717 35113 44537 46793 308321 578981 608309 1647869 1731341 3251201 21422297 22507433 28548217 42265613 120294437 371126821 1056284029 1563827681 2084019841 13731692377 27092257933 77108734117 1002413543521