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211211112021020 = 2251723914551178627
BaseRepresentation
bin110000000001100001101011…
…010011011111110000011100
31000200211120210112210120120022
4300001201223103133300130
5210140440324134133040
62025113013444211312
762326333152210656
oct6001415323376034
91020746715716508
10211211112021020
1161331147523301
121b832166099b38
1390b1178bbb967
143a2295ad8b6d6
1519641444d86b5
hexc0186b4dfc1c

211211112021020 has 96 divisors (see below), whose sum is σ = 471634166384640. Its totient is φ = 79176188851200.

The previous prime is 211211112020999. The next prime is 211211112021113. The reversal of 211211112021020 is 20120211112112.

It is a super-2 number, since 2×2112111120210202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 211211112021020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182324947 + ... + 1182503573.

It is an arithmetic number, because the mean of its divisors is an integer number (4912855899840).

Almost surely, 2211211112021020 is an apocalyptic number.

211211112021020 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 211211112021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235817083192320).

211211112021020 is an abundant number, since it is smaller than the sum of its proper divisors (260423054363620).

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

211211112021020 is a wasteful number, since it uses less digits than its factorization.

211211112021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193443 (or 193441 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211211112021020 its reverse (20120211112112), we get a palindrome (231331323133132).

The spelling of 211211112021020 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twelve million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 239 340 478 956 1195 2390 4063 4780 8126 14551 16252 20315 29102 40630 58204 72755 81260 145510 178627 247367 291020 357254 494734 714508 893135 989468 1236835 1786270 2473670 3036659 3477689 3572540 4947340 6073318 6955378 12146636 13910756 15183295 17388445 30366590 34776890 42691853 59120713 60733180 69553780 85383706 118241426 170767412 213459265 236482852 295603565 426918530 591207130 725761501 853837060 1182414260 1451523002 2599201477 2903046004 3628807505 5198402954 7257615010 10396805908 12996007385 14515230020 25992014770 44186425109 51984029540 88372850218 176745700436 220932125545 441864251090 621209153003 883728502180 1242418306006 2484836612012 3106045765015 6212091530030 10560555601051 12424183060060 21121111202102 42242222404204 52802778005255 105605556010510 211211112021020