Search a number
-
+
210221111022120 = 233251153086139147
BaseRepresentation
bin101111110011000111101010…
…101001011001001000101000
31000120022221102200021000222100
4233303013222221121020220
5210023230313410201440
62023034124543053400
762164655050443432
oct5763075251311050
91016287380230870
10210221111022120
1160a8a2aa79a990
121b6b23148a1260
13903b9c5350a23
1439caa828c7652
1519485009d4230
hexbf31eaa59228

210221111022120 has 96 divisors (see below), whose sum is σ = 745329393637920. Its totient is φ = 50962693580160.

The previous prime is 210221111022101. The next prime is 210221111022149. The reversal of 210221111022120 is 21220111122012.

210221111022120 is a `hidden beast` number, since 2 + 102 + 211 + 110 + 221 + 20 = 666.

210221111022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2102211110221202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210221111022093 and 210221111022102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26543065614 + ... + 26543073533.

It is an arithmetic number, because the mean of its divisors is an integer number (7763847850395).

Almost surely, 2210221111022120 is an apocalyptic number.

210221111022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221111022120 is an abundant number, since it is smaller than the sum of its proper divisors (535108282615800).

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

210221111022120 is a wasteful number, since it uses less digits than its factorization.

210221111022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53086139175 (or 53086139168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210221111022120 its reverse (21220111122012), we get a palindrome (231441222144132).

The spelling of 210221111022120 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred eleven million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 53086139147 106172278294 159258417441 212344556588 265430695735 318516834882 424689113176 477775252323 530861391470 583947530617 637033669764 796292087205 955550504646 1061722782940 1167895061234 1274067339528 1592584174410 1751842591851 1911101009292 2123445565880 2335790122468 2388876261615 2919737653085 3185168348820 3503685183702 3822202018584 4671580244936 4777752523230 5255527775553 5839475306170 6370336697640 7007370367404 8759212959255 9555505046460 10511055551106 11678950612340 14014740734808 17518425918510 19111010092920 21022111102212 23357901224680 26277638877765 35036851837020 42044222204424 52555277755530 70073703674040 105110555511060 210221111022120