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313200231102 = 2321121723935393
BaseRepresentation
bin1001000111011000011…
…00000100001010111110
31002221102110111020122100
410203230030010022332
520112413224343402
6355514315525530
731425252016203
oct4435414041276
91087373436570
10313200231102
11110911402300
125084a1598a6
13236c4838b45
141123230dcaa
1582314b371c
hex48ec3042be

313200231102 has 144 divisors (see below), whose sum is σ = 793103088960. Its totient is φ = 88950005760.

The previous prime is 313200231079. The next prime is 313200231109. The reversal of 313200231102 is 201132002313.

313200231102 is a `hidden beast` number, since 31 + 320 + 0 + 2 + 311 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313200231109) 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 71 ways as a sum of consecutive naturals, for example, 8831518 + ... + 8866910.

It is an arithmetic number, because the mean of its divisors is an integer number (5507660340).

Almost surely, 2313200231102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313200231102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396551544480).

313200231102 is an abundant number, since it is smaller than the sum of its proper divisors (479902857858).

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

313200231102 is a wasteful number, since it uses less digits than its factorization.

313200231102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35679 (or 35665 counting only the distinct ones).

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

Adding to 313200231102 its reverse (201132002313), we get a palindrome (514332233415).

The spelling of 313200231102 in words is "three hundred thirteen billion, two hundred million, two hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 239 242 306 363 374 478 561 717 726 1089 1122 1434 1683 2057 2151 2178 2629 3366 4063 4114 4302 5258 6171 7887 8126 12189 12342 15774 18513 23661 24378 28919 35393 36567 37026 44693 47322 57838 70786 73134 86757 89386 106179 134079 173514 212358 260271 268158 318537 389323 402237 491623 520542 601681 637074 778646 804474 983246 1167969 1203362 1474869 1805043 2335938 2949738 3503907 3610086 4282553 4424607 5415129 6618491 7007814 8458927 8565106 8849214 10830258 12847659 13236982 16917854 19855473 25376781 25695318 38542977 39710946 50753562 59566419 72803401 76130343 77085954 93048197 119132838 143801759 145606802 152260686 186096394 218410203 279144591 287603518 431405277 436820406 558289182 655230609 837433773 862810554 1023530167 1294215831 1310461218 1581819349 1674867546 2047060334 2588431662 3070590501 3163638698 4745458047 6141181002 9211771503 9490916094 14236374141 17400012839 18423543006 28472748282 34800025678 52200038517 104400077034 156600115551 313200231102