Search a number
-
+
331132323213 = 34233747179571
BaseRepresentation
bin1001101000110010000…
…01100100010110001101
31011122201011212220120000
410310121001210112031
520411124333320323
6412041534514513
732631524210136
oct4643101442615
91148634786500
10331132323213
1111848362253a
1254213665a39
13252c1980c33
1412053b00c8d
158930905e43
hex4d1906458d

331132323213 has 160 divisors (see below), whose sum is σ = 545368412160. Its totient is φ = 199605098880.

The previous prime is 331132323187. The next prime is 331132323241. The reversal of 331132323213 is 312323231133.

331132323213 is a `hidden beast` number, since 3 + 3 + 11 + 323 + 2 + 321 + 3 = 666.

It is not a de Polignac number, because 331132323213 - 26 = 331132323149 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132323293) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 579916218 + ... + 579916788.

It is an arithmetic number, because the mean of its divisors is an integer number (3408552576).

Almost surely, 2331132323213 is an apocalyptic number.

It is an amenable number.

331132323213 is a deficient number, since it is larger than the sum of its proper divisors (214236088947).

331132323213 is a wasteful number, since it uses less digits than its factorization.

331132323213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

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

Adding to 331132323213 its reverse (312323231133), we get a palindrome (643455554346).

The spelling of 331132323213 in words is "three hundred thirty-one billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 23 27 37 47 69 81 111 141 179 207 333 423 537 571 621 851 999 1081 1269 1611 1713 1739 1863 2553 2997 3243 3807 4117 4833 5139 5217 6623 7659 8413 9729 12351 13133 14499 15417 15651 19869 21127 22977 25239 26837 29187 37053 39399 39997 46251 46953 59607 63381 68931 75717 80511 87561 102209 111159 118197 119991 140859 152329 178821 190143 193499 227151 241533 306627 311281 333477 354591 359973 456987 485921 536463 570429 580497 617251 681453 724599 919881 933843 992969 1063773 1079919 1370961 1457763 1711287 1741491 1851753 2173797 2350807 2759643 2801529 2978907 3239757 3781733 4112883 4373289 4803823 5224473 5555259 7052421 7159463 8278929 8404587 8936721 11345199 12338649 13119867 14411469 15673419 16665777 21157263 21478389 22838287 25213761 26810163 34035597 39359601 43234407 49997331 63471789 64435167 68514861 80430489 86979859 102106791 110487929 129703221 177741451 190415367 193305501 205544583 260939577 306320373 331463787 389109663 533224353 579916503 616633749 782818731 994391361 1599673059 1849901247 2348456193 2983174083 4088053373 4799019177 7045368579 8949522249 12264160119 14397057531 36792480357 110377441071 331132323213