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13033323114 = 2372199367607
BaseRepresentation
bin11000010001101100…
…01011101001101010
31020122022111102011220
430020312023221222
5203143012314424
65553141202510
7640656263400
oct141066135152
936568442156
1013033323114
115588a75619
122638a00436
1312c926b416
148b8d61470
15514335579
hex308d8ba6a

13033323114 has 96 divisors (see below), whose sum is σ = 30608179200. Its totient is φ = 3688911072.

The previous prime is 13033323073. The next prime is 13033323133. The reversal of 13033323114 is 41132333031.

It is a happy number.

It is a super-2 number, since 2×130333231142 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21471399 + ... + 21472005.

It is an arithmetic number, because the mean of its divisors is an integer number (318835200).

Almost surely, 213033323114 is an apocalyptic number.

13033323114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13033323114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304089600).

13033323114 is an abundant number, since it is smaller than the sum of its proper divisors (17574856086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13033323114 is a wasteful number, since it uses less digits than its factorization.

13033323114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13033323114 its reverse (41132333031), we get a palindrome (54165656145).

The spelling of 13033323114 in words is "thirteen billion, thirty-three million, three hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 199 294 367 398 597 607 734 1101 1194 1214 1393 1821 2202 2569 2786 3642 4179 4249 5138 7707 8358 8498 9751 12747 15414 17983 19502 25494 29253 29743 35966 53949 58506 59486 73033 89229 107898 120793 146066 178458 219099 222769 241586 362379 438198 445538 511231 668307 724758 845551 1022462 1336614 1533693 1559383 1691102 2536653 3067386 3118766 3578617 4678149 5073306 5918857 7157234 9356298 10735851 10915681 11837714 17756571 21471702 21831362 32747043 35513142 44331031 65494086 88662062 132993093 265986186 310317217 620634434 930951651 1861903302 2172220519 4344441038 6516661557 13033323114