Search a number
-
+
10331100111312 = 243371336825121
BaseRepresentation
bin1001011001010110010110…
…0011010110000111010000
31100120122101010111121222000
42112111211203112013100
52323231043112030222
633550013013314000
72114253202014261
oct226254543260720
940518333447860
1010331100111312
113323438755252
1211aa2a0635900
1359c2ac23b756
1427a056846968
1512db07ad49ac
hex965658d61d0

10331100111312 has 80 divisors (see below), whose sum is σ = 30071746892160. Its totient is φ = 3395197209600.

The previous prime is 10331100111287. The next prime is 10331100111341. The reversal of 10331100111312 is 21311100113301.

10331100111312 is a `hidden beast` number, since 1 + 0 + 331 + 10 + 0 + 1 + 11 + 312 = 666.

It is a super-2 number, since 2×103311001113122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168381889 + ... + 168443232.

It is an arithmetic number, because the mean of its divisors is an integer number (375896836152).

Almost surely, 210331100111312 is an apocalyptic number.

10331100111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10331100111312 is an abundant number, since it is smaller than the sum of its proper divisors (19740646780848).

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

10331100111312 is a wasteful number, since it uses less digits than its factorization.

10331100111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336825209 (or 336825197 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10331100111312 its reverse (21311100113301), we get a palindrome (31642200224613).

The spelling of 10331100111312 in words is "ten trillion, three hundred thirty-one billion, one hundred million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1917 2556 3408 3834 5112 7668 10224 15336 30672 336825121 673650242 1010475363 1347300484 2020950726 2694600968 3031426089 4041901452 5389201936 6062852178 8083802904 9094278267 12125704356 16167605808 18188556534 23914583591 24251408712 36377113068 47829167182 48502817424 71743750773 72754226136 95658334364 143487501546 145508452272 191316668728 215231252319 286975003092 382633337456 430462504638 573950006184 645693756957 860925009276 1147900012368 1291387513914 1721850018552 2582775027828 3443700037104 5165550055656 10331100111312