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202010300112000 = 273534208547919
BaseRepresentation
bin101101111011101000110000…
…001011011101110010000000
3222111020222220010221210221010
4231323220300023131302000
5202434214043312041000
61553350130053400520
760356522361321612
oct5573506013356200
9874228803853833
10202010300112000
11594040a6019796
121a7a6b48939140
13889464974a483
1437c54ca438db2
151854b4145bd50
hexb7ba302ddc80

202010300112000 has 128 divisors (see below), whose sum is σ = 669664145030400. Its totient is φ = 53869413350400.

The previous prime is 202010300111987. The next prime is 202010300112041. The reversal of 202010300112000 is 211003010202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2020103001120002 (a number of 29 digits) contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 2104225960 + ... + 2104321959.

It is an arithmetic number, because the mean of its divisors is an integer number (5231751133050).

Almost surely, 2202010300112000 is an apocalyptic number.

202010300112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202010300112000 is an abundant number, since it is smaller than the sum of its proper divisors (467653844918400).

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

202010300112000 is an equidigital number, since it uses as much as digits as its factorization.

202010300112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208547951 (or 4208547929 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 202010300112000 its reverse (211003010202), we get a palindrome (202221303122202).

The spelling of 202010300112000 in words is "two hundred two trillion, ten billion, three hundred million, one hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 4208547919 8417095838 12625643757 16834191676 21042739595 25251287514 33668383352 42085479190 50502575028 63128218785 67336766704 84170958380 101005150056 105213697975 126256437570 134673533408 168341916760 202010300112 210427395950 252512875140 269347066816 315641093925 336683833520 404020600224 420854791900 505025750280 526068489875 538694133632 631282187850 673367667040 808041200448 841709583800 1010051500560 1052136979750 1262564375700 1346735334080 1578205469625 1616082400896 1683419167600 2020103001120 2104273959500 2525128751400 2693470668160 3156410939250 3366838335200 4040206002240 4208547919000 5050257502800 6312821878500 6733676670400 8080412004480 8417095838000 10100515005600 12625643757000 13467353340800 16834191676000 20201030011200 25251287514000 33668383352000 40402060022400 50502575028000 67336766704000 101005150056000 202010300112000