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20300142000 = 2435317199021
BaseRepresentation
bin10010111001111110…
…111001010110110000
31221101202022001200010
4102321332321112300
5313033314021000
613154210254520
71316025234315
oct227176712660
957352261603
1020300142000
1186779a0166
123b26587440
131bb6925258
14da80d4d0c
157dc2a6d50
hex4b9fb95b0

20300142000 has 160 divisors (see below), whose sum is σ = 69297868224. Its totient is φ = 5094912000.

The previous prime is 20300141957. The next prime is 20300142047. The reversal of 20300142000 is 24100302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2490 + ... + 201510.

Almost surely, 220300142000 is an apocalyptic number.

20300142000 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 20300142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34648934112).

20300142000 is an abundant number, since it is smaller than the sum of its proper divisors (48997726224).

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

20300142000 is a wasteful number, since it uses less digits than its factorization.

20300142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199064 (or 199048 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20300142000 its reverse (24100302), we get a palindrome (20324242302).

The spelling of 20300142000 in words is "twenty billion, three hundred million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 199021 398042 597063 796084 995105 1194126 1592168 1990210 2388252 2985315 3184336 3383357 3980420 4776504 4975525 5970630 6766714 7960840 9553008 9951050 10150071 11941260 13533428 14926575 15921680 16916785 19902100 20300142 23882520 24877625 27066856 29853150 33833570 39804200 40600284 47765040 49755250 50750355 54133712 59706300 67667140 74632875 79608400 81200568 84583925 99510500 101500710 119412600 135334280 149265750 162401136 169167850 199021000 203001420 238825200 253751775 270668560 298531500 338335700 398042000 406002840 422919625 507503550 597063000 676671400 812005680 845839250 1015007100 1194126000 1268758875 1353342800 1691678500 2030014200 2537517750 3383357000 4060028400 5075035500 6766714000 10150071000 20300142000