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211120121212002 = 232375317833354503
BaseRepresentation
bin110000000000001100111011…
…110101000110110001100010
31000200111212221020112112222200
4300000030323311012301202
5210132443002012241002
62025003124511314030
762316632262123252
oct6000147365066142
91020455836475880
10211120121212002
11612a65a4596792
121b8185b151b916
1390a5707a29a72
143a1c3a8655962
151961abb193b1c
hexc0033bd46c62

211120121212002 has 96 divisors (see below), whose sum is σ = 478922375063808. Its totient is φ = 67141779838848.

The previous prime is 211120121211971. The next prime is 211120121212009. The reversal of 211120121212002 is 200212121021112.

211120121212002 is a `hidden beast` number, since 211 + 120 + 1 + 212 + 120 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211120121212009) 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, 61259083 + ... + 64613585.

It is an arithmetic number, because the mean of its divisors is an integer number (4988774740248).

Almost surely, 2211120121212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120121212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239461187531904).

211120121212002 is an abundant number, since it is smaller than the sum of its proper divisors (267802253851806).

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

211120121212002 is a wasteful number, since it uses less digits than its factorization.

211120121212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356384 (or 3356381 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211120121212002 its reverse (200212121021112), we get a palindrome (411332242233114).

The spelling of 211120121212002 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 318 333 477 666 954 1783 1961 3566 3922 5349 5883 10698 11766 16047 17649 32094 35298 65971 94499 131942 188998 197913 283497 395826 566994 593739 850491 1187478 1700982 3354503 3496463 6709006 6992926 10063509 10489389 20127018 20978778 30190527 31468167 60381054 62936334 124116611 177788659 248233222 355577318 372349833 533365977 744699666 1066731954 1117049499 1600097931 2234098998 3200195862 5981078849 6578180383 11962157698 13156360766 17943236547 19734541149 35886473094 39469082298 53829709641 59203623447 107659419282 118407246894 221299917413 316997178997 442599834826 633994357994 663899752239 950991536991 1327799504478 1901983073982 1991699256717 2852974610973 3983398513434 5705949221946 11728895622889 23457791245778 35186686868667 70373373737334 105560060606001 211120121212002