Search a number
-
+
3103202330112 = 29317711673831
BaseRepresentation
bin101101001010000101010…
…001011100011000000000
3101222122220111122211202210
4231022011101130120000
5401320324244030422
610333331431342120
7440125150406013
oct55120521343000
911878814584683
103103202330112
11a970738a6895
12421508221940
13196827915921
14aa2a538b37a
1555ac4b8c10c
hex2d28545c600

3103202330112 has 160 divisors (see below), whose sum is σ = 8876719425024. Its totient is φ = 959841075200.

The previous prime is 3103202330089. The next prime is 3103202330119. The reversal of 3103202330112 is 2110332023013.

It is a super-2 number, since 2×31032023301122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3103202330119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017037 + ... + 2690867.

Almost surely, 23103202330112 is an apocalyptic number.

3103202330112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3103202330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438359712512).

3103202330112 is an abundant number, since it is smaller than the sum of its proper divisors (5773517094912).

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

3103202330112 is a wasteful number, since it uses less digits than its factorization.

3103202330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673940 (or 1673924 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3103202330112 its reverse (2110332023013), we get a palindrome (5213534353125).

The spelling of 3103202330112 in words is "three trillion, one hundred three billion, two hundred two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 71 96 102 128 136 142 192 204 213 256 272 284 384 408 426 512 544 568 768 816 852 1088 1136 1207 1536 1632 1704 2176 2272 2414 3264 3408 3621 4352 4544 4828 6528 6816 7242 8704 9088 9656 13056 13632 14484 18176 19312 26112 27264 28968 36352 38624 54528 57936 77248 109056 115872 154496 231744 308992 463488 617984 926976 1673831 1853952 3347662 5021493 6695324 10042986 13390648 20085972 26781296 28455127 40171944 53562592 56910254 80343888 85365381 107125184 113820508 118842001 160687776 170730762 214250368 227641016 237684002 321375552 341461524 356526003 428500736 455282032 475368004 642751104 682923048 713052006 857001472 910564064 950736008 1285502208 1365846096 1426104012 1821128128 1901472016 2020314017 2571004416 2731692192 2852208024 3642256256 3802944032 4040628034 5463384384 5704416048 6060942051 7284512512 7605888064 8081256068 10926768768 11408832096 12121884102 14569025024 15211776128 16162512136 21853537536 22817664192 24243768204 30423552256 32325024272 43707075072 45635328384 48487536408 60847104512 64650048544 91270656768 96975072816 129300097088 182541313536 193950145632 258600194176 387900291264 517200388352 775800582528 1034400776704 1551601165056 3103202330112