Search a number
-
+
211021121120010 = 23519537439401267
BaseRepresentation
bin101111111110110000101110…
…111101101110011100001010
31000200011102101202101210122220
4233332300232331232130022
5210124332224001320020
62024445433103554510
762306526046203405
oct5776605675563412
91020142352353586
10211021121120010
1161268611621343
121b8013825bba36
13909928b424686
143a1769631ad3c
15195e224b1d240
hexbfec2ef6e70a

211021121120010 has 128 divisors (see below), whose sum is σ = 543895694161920. Its totient is φ = 52234336417536.

The previous prime is 211021121119993. The next prime is 211021121120023. The reversal of 211021121120010 is 10021121120112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17745397 + ... + 27146663.

It is an arithmetic number, because the mean of its divisors is an integer number (4249185110640).

Almost surely, 2211021121120010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211021121120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271947847080960).

211021121120010 is an abundant number, since it is smaller than the sum of its proper divisors (332874573041910).

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

211021121120010 is a wasteful number, since it uses less digits than its factorization.

211021121120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402092.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211021121120010 its reverse (10021121120112), we get a palindrome (221042242240122).

The spelling of 211021121120010 in words is "two hundred eleven trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 106 114 159 190 265 285 318 530 570 743 795 1007 1486 1590 2014 2229 3021 3715 4458 5035 6042 7430 10070 11145 14117 15105 22290 28234 30210 39379 42351 70585 78758 84702 118137 141170 196895 211755 236274 393790 423510 590685 748201 1181370 1496402 2244603 3741005 4489206 7482010 9401267 11223015 18802534 22446030 28203801 47006335 56407602 94012670 141019005 178624073 282038010 357248146 498267151 535872219 893120365 996534302 1071744438 1494801453 1786240730 2491335755 2679361095 2989602906 4982671510 5358722190 6985141381 7474007265 9467075869 13970282762 14948014530 18934151738 20955424143 28401227607 34925706905 41910848286 47335379345 56802455214 69851413810 94670758690 104777120715 132717686239 142006138035 209554241430 265435372478 284012276070 370212493193 398153058717 663588431195 740424986386 796306117434 1110637479579 1327176862390 1851062465965 1990765293585 2221274959158 3702124931930 3981530587170 5553187397895 7034037370667 11106374795790 14068074741334 21102112112001 35170186853335 42204224224002 70340373706670 105510560560005 211021121120010