Search a number
-
+
2010111221008 = 241159713318237
BaseRepresentation
bin11101010000000011111…
…101110001110100010000
321010011110002220002122001
4131100003331301310100
5230413201433033013
64135233215323344
7265140300315352
oct35200375616420
97104402802561
102010111221008
11705535420890
122856a6220554
131177252c3897
146d40b6c50d2
153744aa09ddd
hex1d403f71d10

2010111221008 has 160 divisors (see below), whose sum is σ = 4395280112640. Its totient is φ = 882767424000.

The previous prime is 2010111220927. The next prime is 2010111221009. The reversal of 2010111221008 is 8001221110102.

It is not an unprimeable number, because it can be changed into a prime (2010111221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244030266 + ... + 244038502.

It is an arithmetic number, because the mean of its divisors is an integer number (27470500704).

Almost surely, 22010111221008 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 2010111221008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197640056320).

2010111221008 is an abundant number, since it is smaller than the sum of its proper divisors (2385168891632).

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

2010111221008 is a wasteful number, since it uses less digits than its factorization.

2010111221008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8717 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 2010111221008 in words is "two trillion, ten billion, one hundred eleven million, two hundred twenty-one thousand, eight".

Divisors: 1 2 4 8 11 16 22 44 59 71 88 118 142 176 236 284 331 472 568 649 662 781 944 1136 1298 1324 1562 2596 2648 3124 3641 4189 5192 5296 6248 7282 8237 8378 10384 12496 14564 16474 16756 19529 23501 29128 32948 33512 39058 46079 47002 58256 65896 67024 78116 90607 92158 94004 131792 156232 181214 184316 188008 214819 258511 312464 362428 368632 376016 429638 485983 517022 584827 724856 737264 859276 971966 1034044 1169654 1386559 1449712 1718552 1943932 2068088 2339308 2726447 2773118 3437104 3887864 4136176 4678616 5345813 5452894 5546236 6433097 7775728 9357232 10691626 10905788 11092472 12866194 15252149 21383252 21811576 22184944 25732388 29990917 30504298 34504793 42766504 43623152 51464776 59981834 61008596 69009586 85533008 102929552 119963668 122017192 138019172 160860373 193577737 239927336 244034384 276038344 321720746 379552723 387155474 479854672 552076688 643441492 759105446 774310948 1286882984 1518210892 1548621896 1769464103 2129355107 2573765968 3036421784 3097243792 3538928206 4258710214 6072843568 7077856412 8517420428 11421086483 14155712824 17034840856 22842172966 28311425648 34069681712 45684345932 91368691864 125631951313 182737383728 251263902626 502527805252 1005055610504 2010111221008