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2101311201200 = 245236722516359
BaseRepresentation
bin11110100100111111111…
…010000101111110110000
321102212211222202010010012
4132210333322011332300
5233411441131414300
64245155023354052
7304546310335421
oct36447772057660
97385758663105
102101311201200
11740185434842
1229b2b8a52928
131231ca9012c3
14739bdb09648
15399d73bb435
hex1e93fe85fb0

2101311201200 has 120 divisors (see below), whose sum is σ = 5065201282560. Its totient is φ = 837730080000.

The previous prime is 2101311201193. The next prime is 2101311201259. The reversal of 2101311201200 is 21021131012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330443621 + ... + 330449979.

It is an arithmetic number, because the mean of its divisors is an integer number (42210010688).

Almost surely, 22101311201200 is an apocalyptic number.

2101311201200 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 2101311201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532600641280).

2101311201200 is an abundant number, since it is smaller than the sum of its proper divisors (2963890081360).

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

2101311201200 is a wasteful number, since it uses less digits than its factorization.

2101311201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8984 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2101311201200 its reverse (21021131012), we get a palindrome (2122332332212).

The spelling of 2101311201200 in words is "two trillion, one hundred one billion, three hundred eleven million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 367 400 734 1468 1835 2251 2936 3670 4502 5872 6359 7340 9004 9175 11255 12718 14680 18008 18350 22510 25436 29360 31795 36016 36700 45020 50872 56275 63590 73400 90040 101744 112550 127180 146800 158975 180080 225100 254360 317950 450200 508720 635900 826117 900400 1271800 1652234 2333753 2543600 3304468 4130585 4667506 6608936 8261170 9335012 11668765 13217872 14314109 16522340 18670024 20652925 23337530 28628218 33044680 37340048 41305850 46675060 57256436 58343825 66089360 71570545 82611700 93350120 114512872 116687650 143141090 165223400 186700240 229025744 233375300 286282180 330446800 357852725 466750600 572564360 715705450 933501200 1145128720 1431410900 2862821800 5253278003 5725643600 10506556006 21013112012 26266390015 42026224024 52532780030 84052448048 105065560060 131331950075 210131120120 262663900150 420262240240 525327800300 1050655600600 2101311201200