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20301125015430 = 2345719188444491
BaseRepresentation
bin1001001110110101110010…
…10110000101011110000110
32122212202202022022020110000
410213122321112011132012
510130103201000443210
6111102112540142130
74163464542305520
oct447327126053606
978782668266400
1020301125015430
116517727905056
12233a5b1837946
13b4350721153c
14502818970a10
1525312b1bcac0
hex1276b9585786

20301125015430 has 160 divisors (see below), whose sum is σ = 65669136572160. Its totient is φ = 4396033062720.

The previous prime is 20301125015387. The next prime is 20301125015447. The reversal of 20301125015430 is 3451052110302.

20301125015430 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 112 + 5 + 0 + 1 + 543 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20301125015394 and 20301125015403.

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 79 ways as a sum of consecutive naturals, for example, 94114516 + ... + 94329975.

It is an arithmetic number, because the mean of its divisors is an integer number (410432103576).

Almost surely, 220301125015430 is an apocalyptic number.

20301125015430 is an abundant number, since it is smaller than the sum of its proper divisors (45368011556730).

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

20301125015430 is a wasteful number, since it uses less digits than its factorization.

20301125015430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188444536 (or 188444527 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 20301125015430 its reverse (3451052110302), we get a palindrome (23752177125732).

The spelling of 20301125015430 in words is "twenty trillion, three hundred one billion, one hundred twenty-five million, fifteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 133 135 162 171 189 190 210 266 270 285 315 342 378 399 405 513 567 570 630 665 798 810 855 945 1026 1134 1197 1330 1539 1710 1890 1995 2394 2565 2835 3078 3591 3990 5130 5670 5985 7182 7695 10773 11970 15390 17955 21546 35910 53865 107730 188444491 376888982 565333473 942222455 1130666946 1319111437 1696000419 1884444910 2638222874 2826667365 3392000838 3580445329 3957334311 5088001257 5653334730 6595557185 7160890658 7914668622 8480002095 10176002514 10741335987 11872002933 13191114370 15264003771 16960004190 17902226645 19786671555 21482671974 23744005866 25063117303 25440006285 30528007542 32224007961 35616008799 35804453290 39573343110 50126234606 50880012570 53706679935 59360014665 64448015922 71232017598 75189351909 76320018855 96672023883 106848026397 107413359870 118720029330 125315586515 150378703818 152640037710 161120039805 178080043995 193344047766 213696052794 225568055727 250631173030 290016071649 322240079610 356160087990 375946759545 451136111454 483360119415 534240131985 580032143298 676704167181 751893519090 966720238830 1068480263970 1127840278635 1353408334362 1450080358245 2030112501543 2255680557270 2900160716490 3383520835905 4060225003086 6767041671810 10150562507715 20301125015430