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210021201022220 = 225771152891381967
BaseRepresentation
bin101111110000001101011111…
…000101010000110100001100
31000112121211102121022211101222
4233300031133011100310030
5210011441404430202340
62022402224030022512
762144350101462410
oct5760153705206414
91015554377284358
10210021201022220
1160a12544810135
121b67b623347a38
139025bb6883863
1439c111a752d40
1519432003db8b5
hexbf035f150d0c

210021201022220 has 96 divisors (see below), whose sum is σ = 511183993098240. Its totient is φ = 70988387258880.

The previous prime is 210021201022201. The next prime is 210021201022277. The reversal of 210021201022220 is 22220102120012.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151281677 + ... + 152663643.

It is an arithmetic number, because the mean of its divisors is an integer number (5324833261440).

Almost surely, 2210021201022220 is an apocalyptic number.

210021201022220 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 210021201022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255591996549120).

210021201022220 is an abundant number, since it is smaller than the sum of its proper divisors (301162792076020).

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

210021201022220 is a wasteful number, since it uses less digits than its factorization.

210021201022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397343 (or 1397341 counting only the distinct ones).

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

Adding to 210021201022220 its reverse (22220102120012), we get a palindrome (232241303142232).

The spelling of 210021201022220 in words is "two hundred ten trillion, twenty-one billion, two hundred one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 15289 30578 61156 76445 107023 152890 214046 305780 428092 535115 1070230 1085519 1381967 2140460 2171038 2763934 4342076 5427595 5527868 6909835 7598633 9673769 10855190 13819670 15197266 19347538 21710380 27639340 30394532 37993165 38695076 48368845 75986330 96737690 98119657 151972660 193475380 196239314 392478628 490598285 686837599 981196570 1373675198 1962393140 2747350396 3434187995 6868375990 13736751980 21128893463 42257786926 84515573852 105644467315 147902254241 211288934630 295804508482 422577869260 591609016964 739511271205 1479022542410 1500151435873 2958045084820 3000302871746 6000605743492 7500757179365 10501060051111 15001514358730 21002120102222 30003028717460 42004240204444 52505300255555 105010600511110 210021201022220