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200231030031120 = 243251125281695711
BaseRepresentation
bin101101100001101111101011…
…011010110000001100010000
3222020221220021202101122111200
4231201233223122300030100
5202221041122141443440
61545504510524511200
760114133404216534
oct5541575332601420
9866856252348450
10200231030031120
1158888559493170
121a55a1469ab500
1387959221964ca
14376333ac77bc4
1518237067a1c30
hexb61beb6b0310

200231030031120 has 120 divisors (see below), whose sum is σ = 733573682779392. Its totient is φ = 48540855763200.

The previous prime is 200231030031107. The next prime is 200231030031163. The reversal of 200231030031120 is 21130030132002.

200231030031120 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 31 + 0 + 300 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200231030031093 and 200231030031102.

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 23 ways as a sum of consecutive naturals, for example, 12640839936 + ... + 12640855775.

Almost surely, 2200231030031120 is an apocalyptic number.

200231030031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200231030031120 is an abundant number, since it is smaller than the sum of its proper divisors (533342652748272).

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

200231030031120 is a wasteful number, since it uses less digits than its factorization.

200231030031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25281695741 (or 25281695732 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200231030031120 its reverse (21130030132002), we get a palindrome (221361060163122).

The spelling of 200231030031120 in words is "two hundred trillion, two hundred thirty-one billion, thirty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 25281695711 50563391422 75845087133 101126782844 126408478555 151690174266 202253565688 227535261399 252816957110 278098652821 303380348532 379225435665 404507131376 455070522798 505633914220 556197305642 606760697064 758450871330 834295958463 910141045596 1011267828440 1112394611284 1137676306995 1213521394128 1390493264105 1516901742660 1668591916926 1820282091192 2022535656880 2224789222568 2275352613990 2502887875389 2780986528210 3033803485320 3337183833852 3640564182384 4171479792315 4449578445136 4550705227980 5005775750778 5561973056420 6067606970640 6674367667704 8342959584630 9101410455960 10011551501556 11123946112840 12514439376945 13348735335408 16685919169260 18202820911920 20023103003112 22247892225680 25028878753890 33371838338520 40046206006224 50057757507780 66743676677040 100115515015560 200231030031120