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1003152404241 = 321361160187793
BaseRepresentation
bin11101001100100001000…
…10101110111100010001
310112220022102020011010200
432212100202232330101
5112413424003413431
62044501501245413
7132322023513651
oct16462042567421
93486272204120
101003152404241
1135748641a959
12142501863869
137379b4113b0
14367a4da2361
151b1633b1ee6
hexe9908aef11

1003152404241 has 48 divisors (see below), whose sum is σ = 1587049328592. Its totient is φ = 606818304000.

The previous prime is 1003152404227. The next prime is 1003152404279. The reversal of 1003152404241 is 1424042513001.

1003152404241 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 15 + 2 + 404 + 241 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 239414490000 + 763737914241 = 489300^2 + 873921^2 .

It is not a de Polignac number, because 1003152404241 - 213 = 1003152396049 is a prime.

It is a super-2 number, since 2×10031524042412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003152404341) 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 47 ways as a sum of consecutive naturals, for example, 11382441 + ... + 11470233.

It is an arithmetic number, because the mean of its divisors is an integer number (33063527679).

Almost surely, 21003152404241 is an apocalyptic number.

It is an amenable number.

1003152404241 is a deficient number, since it is larger than the sum of its proper divisors (583896924351).

1003152404241 is a wasteful number, since it uses less digits than its factorization.

1003152404241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89474 (or 89471 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1003152404241 its reverse (1424042513001), we get a palindrome (2427194917242).

The spelling of 1003152404241 in words is "one trillion, three billion, one hundred fifty-two million, four hundred four thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 61 117 183 549 793 1601 2379 4803 7137 14409 20813 62439 87793 97661 187317 263379 292983 790137 878949 1141309 1269593 3423927 3808779 5355373 10271781 11426337 16066119 48198357 69619849 140556593 208859547 421669779 626578641 1265009337 1827235709 5481707127 8573952173 16445121381 25721856519 77165569557 111461378249 334384134747 1003152404241