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4021221004220 = 2257243148164433
BaseRepresentation
bin111010100001000011011…
…100110001001110111100
3112020102110210202102002102
4322201003130301032330
51011340430034113340
612315153505444232
7563344414366100
oct72410334611674
915212423672072
104021221004220
111310432473192
1254b40a940678
13232279440074
14dc8b1861900
156e904010215
hex3a8437313bc

4021221004220 has 144 divisors (see below), whose sum is σ = 10058659779168. Its totient is φ = 1345711288320.

The previous prime is 4021221004109. The next prime is 4021221004327. The reversal of 4021221004220 is 224001221204.

4021221004220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4021221004192 and 4021221004201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62377124 + ... + 62441556.

It is an arithmetic number, because the mean of its divisors is an integer number (69851804022).

Almost surely, 24021221004220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021221004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029329889584).

4021221004220 is an abundant number, since it is smaller than the sum of its proper divisors (6037438774948).

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

4021221004220 is a wasteful number, since it uses less digits than its factorization.

4021221004220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65980 (or 65971 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4021221004220 its reverse (224001221204), we get a palindrome (4245222225424).

The spelling of 4021221004220 in words is "four trillion, twenty-one billion, two hundred twenty-one million, four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 430 490 602 860 980 1204 1481 1505 2107 2962 3010 4214 5924 6020 7405 8428 10367 10535 14810 20734 21070 29620 41468 42140 51835 63683 64433 72569 103670 127366 128866 145138 207340 254732 257732 290276 318415 322165 362845 445781 451031 636830 644330 725690 891562 902062 1273660 1288660 1451380 1783124 1804124 2228905 2255155 2770619 3120467 3157217 4457810 4510310 5541238 6240934 6314434 8915620 9020620 11082476 12481868 12628868 13853095 15602335 15786085 19394333 27706190 31204670 31572170 38788666 55412380 62409340 63144340 77577332 95425273 96971665 135760331 190850546 193943330 271520662 381701092 387886660 477126365 543041324 667976911 678801655 954252730 1335953822 1357603310 1908505460 2671907644 2715206620 3339884555 4103286739 4675838377 6679769110 8206573478 9351676754 13359538220 16413146956 18703353508 20516433695 23379191885 28723007173 41032867390 46758383770 57446014346 82065734780 93516767540 114892028692 143615035865 201061050211 287230071730 402122100422 574460143460 804244200844 1005305251055 2010610502110 4021221004220