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20134020002000 = 2453232691627123
BaseRepresentation
bin1001001001111110100010…
…00111000011000011010000
32122021210102110202000022112
410210333101013003003100
510114333433110031000
6110453235135524452
74145430533160452
oct444772107030320
978253373660275
1020134020002000
116462876442173
122312136689728
13b30825c91278
144d86c55a62d2
1524daeaac1235
hex124fd11c30d0

20134020002000 has 160 divisors (see below), whose sum is σ = 50989640382720. Its totient is φ = 7674809049600.

The previous prime is 20134020001987. The next prime is 20134020002011. The reversal of 20134020002000 is 20002043102.

It is a super-2 number, since 2×201340200020002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11560439 + ... + 13187561.

It is an arithmetic number, because the mean of its divisors is an integer number (318685252392).

Almost surely, 220134020002000 is an apocalyptic number.

20134020002000 is a gapful number since it is divisible by the number (20) 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 20134020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25494820191360).

20134020002000 is an abundant number, since it is smaller than the sum of its proper divisors (30855620380720).

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

20134020002000 is a wasteful number, since it uses less digits than its factorization.

20134020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627438 (or 1627422 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20134020002000 its reverse (20002043102), we get a palindrome (20154022045102).

The spelling of 20134020002000 in words is "twenty trillion, one hundred thirty-four billion, twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 269 368 400 460 500 538 575 920 1000 1076 1150 1345 1840 2000 2152 2300 2690 2875 4304 4600 5380 5750 6187 6725 9200 10760 11500 12374 13450 21520 23000 24748 26900 30935 33625 46000 49496 53800 61870 67250 98992 107600 123740 134500 154675 247480 269000 309350 494960 538000 618700 773375 1237400 1546750 1627123 2474800 3093500 3254246 6187000 6508492 8135615 12374000 13016984 16271230 26033968 32542460 37423829 40678075 65084920 74847658 81356150 130169840 149695316 162712300 187119145 203390375 299390632 325424600 374238290 406780750 437696087 598781264 650849200 748476580 813561500 875392174 935595725 1496953160 1627123000 1750784348 1871191450 2188480435 2993906320 3254246000 3501568696 3742382900 4376960870 4677978625 7003137392 7484765800 8753921740 9355957250 10067010001 10942402175 14969531600 17507843480 18711914500 20134020002 21884804350 35015686960 37423829000 40268040004 43769608700 50335050005 54712010875 74847658000 80536080008 87539217400 100670100010 109424021750 161072160016 175078434800 201340200020 218848043500 251675250025 402680400040 437696087000 503350500050 805360800080 875392174000 1006701000100 1258376250125 2013402000200 2516752500250 4026804000400 5033505000500 10067010001000 20134020002000