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2101021200012 = 2237611111936877
BaseRepresentation
bin11110100100101110100…
…111110100111010001100
321102212002210001112021110
4132210232213310322030
5233410342411400022
64245110143532020
7304536156352050
oct36445647647214
97385083045243
102101021200012
1174004676a639
1229b2378ba010
131231827c4677
14739933b9c60
15399bbbd500c
hex1e92e9f4e8c

2101021200012 has 96 divisors (see below), whose sum is σ = 5695237703680. Its totient is φ = 590381809920.

The previous prime is 2101021200011. The next prime is 2101021200023. The reversal of 2101021200012 is 2100021201012.

It is a super-3 number, since 3×21010212000123 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2101021200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56955318 + ... + 56992194.

Almost surely, 22101021200012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101021200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847618851840).

2101021200012 is an abundant number, since it is smaller than the sum of its proper divisors (3594216503668).

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

2101021200012 is a wasteful number, since it uses less digits than its factorization.

2101021200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48071 (or 48069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101021200012 its reverse (2100021201012), we get a palindrome (4201042401024).

The spelling of 2101021200012 in words is "two trillion, one hundred one billion, twenty-one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 11119 22238 33357 36877 44476 66714 73754 77833 110631 133428 147508 155666 221262 233499 258139 311332 442524 466998 516278 678259 774417 933996 1032556 1356518 1548834 2034777 2249497 2713036 3097668 4069554 4498994 4747813 6748491 8139108 8997988 9495626 13496982 14243439 15746479 18991252 26993964 28486878 31492958 47239437 56973756 62985916 94478874 188957748 410035363 820070726 1230106089 1640141452 2460212178 2870247541 4920424356 5740495082 8610742623 11480990164 17221485246 25012157143 34442970492 50024314286 75036471429 100048628572 150072942858 175085100001 300145885716 350170200002 525255300003 700340400004 1050510600006 2101021200012