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200102110120 = 2351117181147799
BaseRepresentation
bin1011101001011100000…
…0111110001110101000
3201010111110102102020201
42322113000332032220
511234302120010440
6231531534401544
720312500605103
oct2722700761650
9633443372221
10200102110120
1177954474030
12329459602b4
1315b3c521273
1499838a173a
1553123e419a
hex2e9703e3a8

200102110120 has 128 divisors (see below), whose sum is σ = 522928224000. Its totient is φ = 68105318400.

The previous prime is 200102110097. The next prime is 200102110147. The reversal of 200102110120 is 21011201002.

200102110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200102110097 and 200102110106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279981 + ... + 1427779.

It is an arithmetic number, because the mean of its divisors is an integer number (4085376750).

Almost surely, 2200102110120 is an apocalyptic number.

200102110120 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 200102110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261464112000).

200102110120 is an abundant number, since it is smaller than the sum of its proper divisors (322826113880).

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

200102110120 is a wasteful number, since it uses less digits than its factorization.

200102110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148019 (or 148015 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200102110120 its reverse (21011201002), we get a palindrome (221113311122).

The spelling of 200102110120 in words is "two hundred billion, one hundred two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 181 187 220 340 362 374 440 680 724 748 905 935 1448 1496 1810 1870 1991 3077 3620 3740 3982 6154 7240 7480 7964 9955 12308 15385 15928 19910 24616 30770 33847 39820 61540 67694 79640 123080 135388 147799 169235 270776 295598 338470 591196 676940 738995 1182392 1353880 1477990 1625789 2512583 2955980 3251578 5025166 5911960 6503156 8128945 10050332 12562915 13006312 16257890 20100664 25125830 26751619 27638413 32515780 50251660 53503238 55276826 65031560 100503320 107006476 110553652 133758095 138192065 214012952 221107304 267516190 276384130 294267809 454777523 535032380 552768260 588535618 909555046 1070064760 1105536520 1177071236 1471339045 1819110092 2273887615 2354142472 2942678090 3638220184 4547775230 5002552753 5885356180 9095550460 10005105506 11770712360 18191100920 20010211012 25012763765 40020422024 50025527530 100051055060 200102110120