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200120011300 = 225211799723741
BaseRepresentation
bin1011101001100000010…
…1010000101000100100
3201010112201002220001101
42322120011100220210
511234321210330200
6231533414205444
720313106013116
oct2723005205044
9633481086041
10200120011300
11779635904a0
123294b953884
1315b4314b291
1499860013b6
155313c7d26a
hex2e98150a24

200120011300 has 144 divisors (see below), whose sum is σ = 484701477120. Its totient is φ = 71106048000.

The previous prime is 200120011279. The next prime is 200120011309. The reversal of 200120011300 is 3110021002.

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

It is not an unprimeable number, because it can be changed into a prime (200120011309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8417430 + ... + 8441170.

It is an arithmetic number, because the mean of its divisors is an integer number (3365982480).

Almost surely, 2200120011300 is an apocalyptic number.

200120011300 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 200120011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242350738560).

200120011300 is an abundant number, since it is smaller than the sum of its proper divisors (284581465820).

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

200120011300 is a wasteful number, since it uses less digits than its factorization.

200120011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23942 (or 23935 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 200120011300 its reverse (3110021002), we get a palindrome (203230032302).

The spelling of 200120011300 in words is "two hundred billion, one hundred twenty million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 97 100 110 158 194 220 275 316 388 395 485 550 790 869 970 1067 1100 1580 1738 1940 1975 2134 2425 3476 3950 4268 4345 4850 5335 7663 7900 8690 9700 10670 15326 17380 21340 21725 23741 26675 30652 38315 43450 47482 53350 76630 84293 86900 94964 106700 118705 153260 168586 191575 237410 261151 337172 383150 421465 474820 522302 593525 766300 842930 1044604 1187050 1305755 1685860 1875539 2107325 2302877 2374100 2611510 3751078 4214650 4605754 5223020 6528775 7502156 8429300 9211508 9377695 11514385 13057550 18755390 20630929 23028770 25331647 26115100 37510780 41261858 46057540 46888475 50663294 57571925 82523716 93776950 101326588 103154645 115143850 126658235 181927283 187553900 206309290 230287700 253316470 363854566 412618580 506632940 515773225 633291175 727709132 909636415 1031546450 1266582350 1819272830 2001200113 2063092900 2533164700 3638545660 4002400226 4548182075 8004800452 9096364150 10006000565 18192728300 20012001130 40024002260 50030002825 100060005650 200120011300