Search a number
-
+
211211001020010 = 235231316013887959
BaseRepresentation
bin110000000001100001100100…
…101100000011111001101010
31000200211120111210221010210210
4300001201210230003321222
5210140440112230120020
62025112554441121550
762326330333546605
oct6001414454037152
91020746453833723
10211211001020010
116133109a8a8632
121b832134a892b6
1390b115bbc5aa4
143a2294a33533c
1519641398ae3e0
hexc01864b03e6a

211211001020010 has 128 divisors (see below), whose sum is σ = 533870530744320. Its totient is φ = 53373887424000.

The previous prime is 211211001019999. The next prime is 211211001020027. The reversal of 211211001020010 is 10020100112112.

It is a super-2 number, since 2×2112110010200102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 52380411 + ... + 56268369.

It is an arithmetic number, because the mean of its divisors is an integer number (4170863521440).

Almost surely, 2211211001020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211211001020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266935265372160).

211211001020010 is an abundant number, since it is smaller than the sum of its proper divisors (322659529724310).

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

211211001020010 is a wasteful number, since it uses less digits than its factorization.

211211001020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888724.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211211001020010 its reverse (10020100112112), we get a palindrome (221231101132122).

The spelling of 211211001020010 in words is "two hundred eleven trillion, two hundred eleven billion, one million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 131 138 230 262 345 393 601 655 690 786 1202 1310 1803 1965 3005 3013 3606 3930 6010 6026 9015 9039 13823 15065 18030 18078 27646 30130 41469 45195 69115 78731 82938 90390 138230 157462 207345 236193 393655 414690 472386 787310 1180965 1810813 2361930 3621626 3887959 5432439 7775918 9054065 10864878 11663877 18108130 19439795 23327754 27162195 38879590 54324390 58319385 89423057 116638770 178846114 268269171 447115285 509322629 536538342 894230570 1018645258 1341345855 1527967887 2336663359 2546613145 2682691710 3055935774 4673326718 5093226290 7009990077 7639839435 11683316795 11714420467 14019980154 15279678870 23366633590 23428840934 35049950385 35143261401 53743257257 58572102335 70099900770 70286522802 107486514514 117144204670 161229771771 175716307005 268716286285 306102900029 322459543542 351432614010 537432572570 612205800058 806148858855 918308700087 1530514500145 1612297717710 1836617400174 3061029000290 4591543500435 7040366700667 9183087000870 14080733401334 21121100102001 35201833503335 42242200204002 70403667006670 105605500510005 211211001020010