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13553001 = 347114153
BaseRepresentation
bin110011101100…
…110101101001
3221111120020000
4303230311221
511432144001
61202253213
7223125060
oct63546551
927446200
1013553001
117717630
124657209
132a66b37
141b2b1d7
1512caa86
hexcecd69

13553001 has 80 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 6739200.

The previous prime is 13552997. The next prime is 13553021. The reversal of 13553001 is 10035531.

It is a happy number.

13553001 is a `hidden beast` number, since 135 + 530 + 0 + 1 = 666.

It is not a de Polignac number, because 13553001 - 22 = 13552997 is a prime.

It is a super-2 number, since 2×135530012 = 367367672212002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13553021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255691 + ... + 255743.

Almost surely, 213553001 is an apocalyptic number.

13553001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13553001 is a deficient number, since it is larger than the sum of its proper divisors (12792087).

13553001 is a wasteful number, since it uses less digits than its factorization.

13553001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13553001 is about 3681.4400714938. The cubic root of 13553001 is about 238.4213577194.

Adding to 13553001 its reverse (10035531), we get a palindrome (23588532).

It can be divided in two parts, 1355 and 3001, that added together give a square (4356 = 662).

The spelling of 13553001 in words is "thirteen million, five hundred fifty-three thousand, one".

Divisors: 1 3 7 9 11 21 27 33 41 53 63 77 81 99 123 159 189 231 287 297 369 371 451 477 567 583 693 861 891 1107 1113 1353 1431 1749 2079 2173 2583 3157 3321 3339 4059 4081 4293 5247 6237 6519 7749 9471 10017 12177 12243 15211 15741 19557 23247 23903 28413 30051 36531 36729 45633 47223 58671 71709 85239 110187 136899 167321 176013 215127 255717 330561 410697 501963 645381 1232091 1505889 1936143 4517667 13553001