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103434323112 = 23348314912907
BaseRepresentation
bin110000001010100101…
…0101000010010101000
3100212222111221000220000
41200111022220102220
53143313141314422
6115303404303000
710321125145221
oct1402512502250
9325874830800
10103434323112
113a958a8496a
1218067b41a60
1399a51921b3
145013204248
152a559c1cac
hex18152a84a8

103434323112 has 160 divisors (see below), whose sum is σ = 295193052000. Its totient is φ = 33831478656.

The previous prime is 103434323071. The next prime is 103434323123. The reversal of 103434323112 is 211323434301.

It is a happy number.

103434323112 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 343 + 2 + 311 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8007363 + ... + 8020269.

It is an arithmetic number, because the mean of its divisors is an integer number (1844956575).

Almost surely, 2103434323112 is an apocalyptic number.

103434323112 is a gapful number since it is divisible by the number (12) 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 103434323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147596526000).

103434323112 is an abundant number, since it is smaller than the sum of its proper divisors (191758728888).

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

103434323112 is a wasteful number, since it uses less digits than its factorization.

103434323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13157 (or 13144 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103434323112 its reverse (211323434301), we get a palindrome (314757757413).

The spelling of 103434323112 in words is "one hundred three billion, four hundred thirty-four million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 149 162 166 216 249 298 324 332 447 498 596 648 664 747 894 996 1192 1341 1494 1788 1992 2241 2682 2988 3576 4023 4482 5364 5976 6723 8046 8964 10728 12069 12367 12907 13446 16092 17928 24138 24734 25814 26892 32184 37101 38721 48276 49468 51628 53784 74202 77442 96552 98936 103256 111303 116163 148404 154884 222606 232326 296808 309768 333909 348489 445212 464652 667818 696978 890424 929304 1001727 1045467 1071281 1335636 1393956 1923143 2003454 2090934 2142562 2671272 2787912 3213843 3846286 4006908 4181868 4285124 5769429 6427686 7692572 8013816 8363736 8570248 9641529 11538858 12855372 15385144 17308287 19283058 23077716 25710744 28924587 34616574 38566116 46155432 51924861 57849174 69233148 77132232 86773761 103849722 115698348 138466296 155774583 159620869 173547522 207699444 231396696 311549166 319241738 347095044 415398888 478862607 623098332 638483476 694190088 957725214 1246196664 1276966952 1436587821 1915450428 2873175642 3830900856 4309763463 5746351284 8619526926 11492702568 12929290389 17239053852 25858580778 34478107704 51717161556 103434323112