Search a number
-
+
211021010121220 = 225131278707733973
BaseRepresentation
bin101111111110110000101000…
…010110010011001000000100
31000200011102010000112110221121
4233332300220112103020010
5210124332012042334340
62024445414100523324
762306523230551645
oct5776605026231004
91020142100473847
10211021010121220
11612685649a8302
121b8013513b0544
13909927142c810
143a176856a56cc
15195e219ee494a
hexbfec28593204

211021010121220 has 96 divisors (see below), whose sum is σ = 481045761036288. Its totient is φ = 77292958966272.

The previous prime is 211021010121197. The next prime is 211021010121221. The reversal of 211021010121220 is 22121010120112.

It is a junction number, because it is equal to n+sod(n) for n = 211021010121194 and 211021010121203.

It is not an unprimeable number, because it can be changed into a prime (211021010121221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287138154 + ... + 287872126.

It is an arithmetic number, because the mean of its divisors is an integer number (5010893344128).

Almost surely, 2211021010121220 is an apocalyptic number.

211021010121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211021010121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240522880518144).

211021010121220 is an abundant number, since it is smaller than the sum of its proper divisors (270024750915068).

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

211021010121220 is a wasteful number, since it uses less digits than its factorization.

211021010121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742829 (or 742827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211021010121220 its reverse (22121010120112), we get a palindrome (233142020241332).

The spelling of 211021010121220 in words is "two hundred eleven trillion, twenty-one billion, ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 6604 8255 8707 16510 17414 33020 34828 43535 87070 113191 174140 226382 452764 565955 733973 1105789 1131910 1467946 2211578 2263820 2935892 3669865 4423156 5528945 7339730 9541649 11057890 14375257 14679460 19083298 22115780 28750514 38166596 47708245 57501028 71876285 93214571 95416490 143752570 186429142 190832980 287505140 372858284 466072855 932145710 1211789423 1864291420 2423578846 4847157692 6058947115 6390702911 12117894230 12781405822 24235788460 25562811644 31953514555 63907029110 83079137843 127814058220 166158275686 332316551372 415395689215 811619269697 830791378430 1623238539394 1661582756860 3246477078788 4058096348485 8116192696970 10551050506061 16232385393940 21102101012122 42204202024244 52755252530305 105510505060610 211021010121220