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33130300440341 = 13174115728378209
BaseRepresentation
bin1111000100001101111111…
…10010011111111100010101
311100022020002121020020020002
413202012333302133330111
513320301323403042331
6154243503325221045
76656404505203106
oct742067762377425
9140266077206202
1033130300440341
11a613532991165
123870a5a701785
131564235167010
1482772d5d83ad
153c6bdd92a9cb
hex1e21bfc9ff15

33130300440341 has 64 divisors (see below), whose sum is σ = 38963904154560. Its totient is φ = 27888772055040.

The previous prime is 33130300440329. The next prime is 33130300440361. The reversal of 33130300440341 is 14304400303133.

It can be written as a sum of positive squares in 32 ways, for example, as 31688691991441 + 1441608448900 = 5629271^2 + 1200670^2 .

It is a de Polignac number, because none of the positive numbers 2k-33130300440341 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 (33130300440311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4035846845 + ... + 4035855053.

It is an arithmetic number, because the mean of its divisors is an integer number (608811002415).

Almost surely, 233130300440341 is an apocalyptic number.

It is an amenable number.

33130300440341 is a deficient number, since it is larger than the sum of its proper divisors (5833603714219).

33130300440341 is a wasteful number, since it uses less digits than its factorization.

33130300440341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 33130300440341 its reverse (14304400303133), we get a palindrome (47434700743474).

The spelling of 33130300440341 in words is "thirty-three trillion, one hundred thirty billion, three hundred million, four hundred forty thousand, three hundred forty-one".

Divisors: 1 13 17 41 157 221 533 697 2041 2669 2837 6437 8209 9061 34697 36881 48229 83681 106717 109429 116317 139553 336569 445409 626977 1288813 1422577 1512121 1814189 1977389 4375397 5721673 5790317 7571953 16754569 18261769 21909821 23288933 25706057 52841333 74381749 98435389 237402997 284827673 302756129 310450073 395911861 686937329 898302661 954846253 3656362481 4035850949 5146854193 11677934593 12413001289 16232386301 47532712253 62158162177 149910861721 211021021913 808056108301 1948841202373 2548484649257 33130300440341