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200014031120 = 24531367219757
BaseRepresentation
bin1011101001000111000…
…0111110100100010000
3201010021022200112120112
42322101300332210100
511234112042443440
6231515110500452
720310351133031
oct2722160764420
9633238615515
10200014031120
1177909784a72
1232920364728
1315b271c2807
149975cd4a88
1553097e6965
hex2e91c3e910

200014031120 has 80 divisors (see below), whose sum is σ = 481343858688. Its totient is φ = 77213468160.

The previous prime is 200014031117. The next prime is 200014031207. The reversal of 200014031120 is 21130410002.

200014031120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2000140311202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200014031095 and 200014031104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800282 + ... + 1020038.

Almost surely, 2200014031120 is an apocalyptic number.

200014031120 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 200014031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240671929344).

200014031120 is an abundant number, since it is smaller than the sum of its proper divisors (281329827568).

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

200014031120 is a wasteful number, since it uses less digits than its factorization.

200014031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220168 (or 220162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 200014031120 its reverse (21130410002), we get a palindrome (221144441122).

The spelling of 200014031120 in words is "two hundred billion, fourteen million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 367 496 620 734 1240 1468 1835 2480 2936 3670 5872 7340 11377 14680 22754 29360 45508 56885 91016 113770 182032 219757 227540 439514 455080 879028 910160 1098785 1758056 2197570 3516112 4395140 6812467 8790280 13624934 17580560 27249868 34062335 54499736 68124670 80650819 108999472 136249340 161301638 272498680 322603276 403254095 544997360 645206552 806508190 1290413104 1613016380 2500175389 3226032760 5000350778 6452065520 10000701556 12500876945 20001403112 25001753890 40002806224 50003507780 100007015560 200014031120