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103023314214000 = 24353101170005469
BaseRepresentation
bin10111011011001011111100…
…000011000001110001110000
3111111202221011220101120220020
4113123023330003001301300
5102000413221414322000
61003040131314443440
730462121524015615
oct2733137403016160
9444687156346806
10103023314214000
112a90aa40074a04
12b67a737593580
134564097b6b73b
141b624d822a50c
15bd9d15bddba0
hex5db2fc0c1c70

103023314214000 has 160 divisors (see below), whose sum is σ = 335435752791360. Its totient is φ = 27200874880000.

The previous prime is 103023314213969. The next prime is 103023314214083. The reversal of 103023314214000 is 412413320301.

It is a happy number.

It is a super-2 number, since 2×1030233142140002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84396735 + ... + 85608734.

It is an arithmetic number, because the mean of its divisors is an integer number (2096473454946).

Almost surely, 2103023314214000 is an apocalyptic number.

103023314214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103023314214000 is an abundant number, since it is smaller than the sum of its proper divisors (232412438577360).

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

103023314214000 is a wasteful number, since it uses less digits than its factorization.

103023314214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170005596 (or 170005580 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103023314214000 its reverse (412413320301), we get a palindrome (103435727534301).

The spelling of 103023314214000 in words is "one hundred three trillion, twenty-three billion, three hundred fourteen million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 125 150 200 202 240 250 300 303 375 400 404 500 505 600 606 750 808 1000 1010 1200 1212 1500 1515 1616 2000 2020 2424 2525 3000 3030 4040 4848 5050 6000 6060 7575 8080 10100 12120 12625 15150 20200 24240 25250 30300 37875 40400 50500 60600 75750 101000 121200 151500 202000 303000 606000 170005469 340010938 510016407 680021876 850027345 1020032814 1360043752 1700054690 2040065628 2550082035 2720087504 3400109380 4080131256 4250136725 5100164070 6800218760 8160262512 8500273450 10200328140 12750410175 13600437520 17000546900 17170552369 20400656280 21250683625 25500820350 34001093800 34341104738 40801312560 42501367250 51001640700 51511657107 63752050875 68002187600 68682209476 85002734500 85852761845 102003281400 103023314214 127504101750 137364418952 170005469000 171705523690 204006562800 206046628428 255008203500 257558285535 274728837904 340010938000 343411047380 412093256856 429263809225 510016407000 515116571070 686822094760 824186513712 858527618450 1020032814000 1030233142140 1287791427675 1373644189520 1717055236900 2060466284280 2146319046125 2575582855350 3434110473800 4120932568560 4292638092250 5151165710700 6438957138375 6868220947600 8585276184500 10302331421400 12877914276750 17170552369000 20604662842800 25755828553500 34341104738000 51511657107000 103023314214000