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332114013 = 3472117607
BaseRepresentation
bin10011110010111…
…010100001011101
3212010221010210000
4103302322201131
51140010122023
652542204513
711141631300
oct2362724135
9763833700
10332114013
111605191a0
1293283739
1353a6308a
1432172b37
151e254243
hex13cba85d

332114013 has 60 divisors (see below), whose sum is σ = 629668512. Its totient is φ = 172504080.

The previous prime is 332113963. The next prime is 332114021. The reversal of 332114013 is 310411233.

It is not a de Polignac number, because 332114013 - 216 = 332048477 is a prime.

It is a super-2 number, since 2×3321140132 = 220599435261928338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332114513) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39856 + ... + 47462.

Almost surely, 2332114013 is an apocalyptic number.

332114013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

332114013 is a deficient number, since it is larger than the sum of its proper divisors (297554499).

332114013 is a wasteful number, since it uses less digits than its factorization.

332114013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7628 counting only the distinct ones).

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

The square root of 332114013 is about 18223.9955278748. The cubic root of 332114013 is about 692.5148119011.

Adding to 332114013 its reverse (310411233), we get a palindrome (642525246).

The spelling of 332114013 in words is "three hundred thirty-two million, one hundred fourteen thousand, thirteen".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 297 441 539 567 693 891 1323 1617 2079 3969 4851 6237 7607 14553 22821 43659 53249 68463 83677 159747 205389 251031 372743 479241 585739 616167 753093 1118229 1437723 1757217 2259279 3354687 4100173 4313169 5271651 6777837 10064061 12300519 15814953 30192183 36901557 47444859 110704671 332114013