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2001211200200 = 2352167389154027
BaseRepresentation
bin11101000111110001011…
…110111001001011001000
321002022110211221012021202
4131013301132321023020
5230241440031401300
64131202125123332
7264403610352002
oct35076136711310
97068424835252
102001211200200
11701788607493
12283a216b9548
1311693747a794
146cc05697372
15370c94cbad5
hex1d1f17b92c8

2001211200200 has 96 divisors (see below), whose sum is σ = 4692740270400. Its totient is φ = 793640528640.

The previous prime is 2001211200199. The next prime is 2001211200203. The reversal of 2001211200200 is 20021121002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2001211200203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12915587 + ... + 13069613.

It is an arithmetic number, because the mean of its divisors is an integer number (48882711150).

Almost surely, 22001211200200 is an apocalyptic number.

2001211200200 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 2001211200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346370135200).

2001211200200 is an abundant number, since it is smaller than the sum of its proper divisors (2691529070200).

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

2001211200200 is a wasteful number, since it uses less digits than its factorization.

2001211200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154599 (or 154590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001211200200 its reverse (20021121002), we get a palindrome (2021232321202).

The spelling of 2001211200200 in words is "two trillion, one billion, two hundred eleven million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 389 668 778 835 1336 1556 1670 1945 3112 3340 3890 4175 6680 7780 8350 9725 15560 16700 19450 33400 38900 64963 77800 129926 154027 259852 308054 324815 519704 616108 649630 770135 1232216 1299260 1540270 1624075 2598520 3080540 3248150 3850675 6161080 6496300 7701350 12992600 15402700 25722509 30805400 51445018 59916503 102890036 119833006 128612545 205780072 239666012 257225090 299582515 479332024 514450180 599165030 643062725 1028900360 1198330060 1286125450 1497912575 2396660120 2572250900 2995825150 5144501800 5991650300 10006056001 11983300600 20012112002 40024224004 50030280005 80048448008 100060560010 200121120020 250151400025 400242240040 500302800050 1000605600100 2001211200200