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106034135004 = 223271204334939
BaseRepresentation
bin110001011000000100…
…0000111111111011100
3101010200200221011100100
41202300020013333130
53214124214310004
6120413355301100
710442424163560
oct1426010077734
9333620834310
10106034135004
1140a72561036
121867274a790
139cca99a625
1451bc5d76a0
152b58d66739
hex18b0207fdc

106034135004 has 72 divisors (see below), whose sum is σ = 306355038080. Its totient is φ = 30292084512.

The previous prime is 106034134979. The next prime is 106034135063. The reversal of 106034135004 is 400531430601.

106034135004 is a `hidden beast` number, since 1 + 0 + 603 + 4 + 1 + 3 + 50 + 0 + 4 = 666.

It is a super-2 number, since 2×1060341350042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3017367 + ... + 3052305.

Almost surely, 2106034135004 is an apocalyptic number.

106034135004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106034135004 is an abundant number, since it is smaller than the sum of its proper divisors (200320903076).

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

106034135004 is a wasteful number, since it uses less digits than its factorization.

106034135004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46999 (or 46994 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 106034135004 its reverse (400531430601), we get a palindrome (506565565605).

The spelling of 106034135004 in words is "one hundred six billion, thirty-four million, one hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 12043 24086 34939 36129 48172 69878 72258 84301 104817 108387 139756 144516 168602 209634 216774 244573 252903 314451 337204 419268 433548 489146 505806 628902 733719 758709 978292 1011612 1257804 1467438 1517418 2201157 2934876 3034836 4402314 8804628 420770377 841540754 1262311131 1683081508 2524622262 2945392639 3786933393 5049244524 5890785278 7573866786 8836177917 11781570556 15147733572 17672355834 26508533751 35344711668 53017067502 106034135004