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211012010002002 = 2311101118012682397
BaseRepresentation
bin101111111110101000001111…
…111001100100011001010010
31000200010112212210020001101210
4233332220033321210121102
5210124210044030031002
62024441325033040550
762306054214033216
oct5776501771443122
91020115783201353
10211012010002002
1161264766635550
121b7bb65b256156
13909846893a1a1
143a1707025c946
15195dd8ece296c
hexbfea0fe64652

211012010002002 has 64 divisors (see below), whose sum is σ = 464987727646848. Its totient is φ = 63304545600000.

The previous prime is 211012010001973. The next prime is 211012010002019. The reversal of 211012010002002 is 200200010210112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77324268 + ... + 80006664.

It is an arithmetic number, because the mean of its divisors is an integer number (7265433244482).

Almost surely, 2211012010002002 is an apocalyptic number.

211012010002002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012010002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232493863823424).

211012010002002 is an abundant number, since it is smaller than the sum of its proper divisors (253975717644846).

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

211012010002002 is a wasteful number, since it uses less digits than its factorization.

211012010002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694315.

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

Adding to 211012010002002 its reverse (200200010210112), we get a palindrome (411212020212114).

The spelling of 211012010002002 in words is "two hundred eleven trillion, twelve billion, ten million, two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 11801 23602 35403 70806 129811 259622 389433 778866 1191901 2383802 2682397 3575703 5364794 7151406 8047191 13110911 16094382 26221822 29506367 39332733 59012734 78665466 88519101 177038202 270922097 541844194 812766291 1625532582 2980143067 5960286134 8940429201 17880858402 31654966997 63309933994 94964900991 189929801982 348204636967 696409273934 1044613910901 2089227821802 3197151666697 6394303333394 9591455000091 19182910000182 35168668333667 70337336667334 105506005001001 211012010002002