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211120003010 = 25722413734793
BaseRepresentation
bin1100010010011110111…
…0111001011111000010
3202011221022112100220202
43010213232321133002
511424333210044020
6240553122205202
721152515262600
oct3044756713702
9664838470822
10211120003010
1181598813034
1234abb7b3802
1316ba7071c07
14a30acac870
155759819e75
hex3127bb97c2

211120003010 has 96 divisors (see below), whose sum is σ = 445176631152. Its totient is φ = 71875399680.

The previous prime is 211120003009. The next prime is 211120003079. The reversal of 211120003010 is 10300021112.

It can be written as a sum of positive squares in 8 ways, for example, as 162835653841 + 48284349169 = 403529^2 + 219737^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211120002982 and 211120003000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44045174 + ... + 44049966.

Almost surely, 2211120003010 is an apocalyptic number.

211120003010 is an abundant number, since it is smaller than the sum of its proper divisors (234056628142).

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

211120003010 is a wasteful number, since it uses less digits than its factorization.

211120003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 211120003010 its reverse (10300021112), we get a palindrome (221420024122).

The spelling of 211120003010 in words is "two hundred eleven billion, one hundred twenty million, three thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 241 245 373 482 490 746 1205 1687 1865 2410 2611 3374 3730 4793 5222 8435 9586 11809 13055 16870 18277 23618 23965 26110 33551 36554 47930 59045 67102 89893 91385 118090 167755 179786 182770 234857 335510 449465 469714 629251 898930 1155113 1174285 1258502 1787789 2310226 2348570 3146255 3575578 4404757 5775565 6292510 8085791 8809514 8938945 11551130 12514523 16171582 17877890 22023785 25029046 40428955 44047570 56600537 62572615 80857910 87601661 113201074 125145230 175203322 283002685 430857149 438008305 566005370 861714298 876016610 2154285745 3016000043 4308571490 6032000086 15080000215 21112000301 30160000430 42224000602 105560001505 211120003010