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331241033313 = 34293141110947
BaseRepresentation
bin1001101000111111000…
…00010000111001100001
31011122222202102221210000
410310133200100321201
520411340201031223
6412100420530213
732634314220201
oct4643740207141
91148882387700
10331241033313
11118529a22aa3
1254243b50969
132530b354138
141206431c401
15893a22b543
hex4d1f810e61

331241033313 has 80 divisors (see below), whose sum is σ = 541284226560. Its totient is φ = 201300422400.

The previous prime is 331241033297. The next prime is 331241033317. The reversal of 331241033313 is 313330142133.

331241033313 is a `hidden beast` number, since 3 + 312 + 4 + 1 + 0 + 33 + 313 = 666.

It is not a de Polignac number, because 331241033313 - 24 = 331241033297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (331241033317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2930106 + ... + 3041052.

It is an arithmetic number, because the mean of its divisors is an integer number (6766052832).

Almost surely, 2331241033313 is an apocalyptic number.

It is an amenable number.

331241033313 is a deficient number, since it is larger than the sum of its proper divisors (210043193247).

331241033313 is a wasteful number, since it uses less digits than its factorization.

331241033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111060 (or 111051 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 331241033313 its reverse (313330142133), we get a palindrome (644571175446).

The spelling of 331241033313 in words is "three hundred thirty-one billion, two hundred forty-one million, thirty-three thousand, three hundred thirteen".

Divisors: 1 3 9 27 29 31 41 81 87 93 123 261 279 369 783 837 899 1107 1189 1271 2349 2511 2697 3321 3567 3813 8091 10701 11439 24273 32103 34317 36859 72819 96309 102951 110577 110947 331731 332841 995193 998523 2985579 2995569 3217463 3439357 4548827 8986707 9652389 10318071 13646481 28957167 30954213 40939443 86871501 92862639 99741353 122818329 131915983 141013637 260614503 278587917 299224059 368454987 395747949 423040911 897672177 1187243847 1269122733 2693016531 3561731541 3807368199 4089395473 8079049593 10685194623 11422104597 12268186419 36804559257 110413677771 331241033313