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2021212210220 = 225728376132653
BaseRepresentation
bin11101011010011001101…
…000101100010000101100
321011020002202100210000122
4131122121220230100230
5231103420311211340
64144310532144112
7266012344213400
oct35323150542054
97136082323018
102021212210220
1170a211666335
12287883a68038
131187a411a058
146db81b63100
153789a396db5
hex1d699a2c42c

2021212210220 has 144 divisors (see below), whose sum is σ = 5003740653408. Its totient is φ = 683717207040.

The previous prime is 2021212210211. The next prime is 2021212210261. The reversal of 2021212210220 is 220122121202.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 61883414 + ... + 61916066.

It is an arithmetic number, because the mean of its divisors is an integer number (34748198982).

Almost surely, 22021212210220 is an apocalyptic number.

2021212210220 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 2021212210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501870326704).

2021212210220 is an abundant number, since it is smaller than the sum of its proper divisors (2982528443188).

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

2021212210220 is a wasteful number, since it uses less digits than its factorization.

2021212210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33520 (or 33511 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2021212210220 its reverse (220122121202), we get a palindrome (2241334331422).

The spelling of 2021212210220 in words is "two trillion, twenty-one billion, two hundred twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 196 245 332 415 490 581 761 830 980 1162 1522 1660 2324 2905 3044 3805 4067 5327 5810 7610 8134 10654 11620 15220 16268 20335 21308 26635 32653 37289 40670 53270 63163 65306 74578 81340 106540 126326 130612 149156 163265 186445 228571 252652 315815 326530 372890 442141 457142 631630 653060 745780 884282 914284 1142855 1263260 1599997 1768564 2210705 2285710 2710199 3094987 3199994 4421410 4571420 5420398 6189974 6399988 7999985 8842820 10840796 12379948 13550995 15474935 15999970 18971393 24848933 27101990 30949870 31999940 37942786 49697866 54203980 61899740 75885572 94856965 99395732 124244665 132799751 173942531 189713930 248489330 265599502 347885062 379427860 496978660 531199004 663998755 695770124 869712655 1217597717 1327997510 1739425310 2062461439 2435195434 2655995020 3478850620 4124922878 4870390868 6087988585 8249845756 10312307195 12175977170 14437230073 20624614390 24351954340 28874460146 41249228780 57748920292 72186150365 101060610511 144372300730 202121221022 288744601460 404242442044 505303052555 1010606105110 2021212210220