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10144222020 = 22325434612843
BaseRepresentation
bin10010111001010010…
…01000101101000100
3222011222010212112200
421130221020231010
5131233410101040
64354333514500
7506245315212
oct113451105504
928158125480
1010144222020
114336170169
121b71342a30
13c5884544a
146c3385cb2
153e589a630
hex25ca48b44

10144222020 has 144 divisors (see below), whose sum is σ = 31565806272. Its totient is φ = 2635557120.

The previous prime is 10144222019. The next prime is 10144222021. The reversal of 10144222020 is 2022244101.

10144222020 is a `hidden beast` number, since 1 + 0 + 1 + 442 + 220 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10144222019) and next prime (10144222021).

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 = 10144221984 and 10144222002.

It is not an unprimeable number, because it can be changed into a prime (10144222021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3566719 + ... + 3569561.

It is an arithmetic number, because the mean of its divisors is an integer number (219206988).

Almost surely, 210144222020 is an apocalyptic number.

10144222020 is a gapful number since it is divisible by the number (10) 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 10144222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15782903136).

10144222020 is an abundant number, since it is smaller than the sum of its proper divisors (21421584252).

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

10144222020 is a wasteful number, since it uses less digits than its factorization.

10144222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10144222020 its reverse (2022244101), we get a palindrome (12166466121).

The spelling of 10144222020 in words is "ten billion, one hundred forty-four million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 461 516 645 774 860 922 1290 1383 1548 1844 1935 2305 2580 2766 2843 3870 4149 4610 5532 5686 6915 7740 8298 8529 9220 11372 13830 14215 16596 17058 19823 20745 25587 27660 28430 34116 39646 41490 42645 51174 56860 59469 79292 82980 85290 99115 102348 118938 122249 127935 170580 178407 198230 237876 244498 255870 297345 356814 366747 396460 488996 511740 594690 611245 713628 733494 892035 1100241 1189380 1222490 1310623 1466988 1784070 1833735 2200482 2444980 2621246 3568140 3667470 3931869 4400964 5242492 5501205 6553115 7334940 7863738 11002410 11795607 13106230 15727476 19659345 22004820 23591214 26212460 39318690 47182428 56356789 58978035 78637380 112713578 117956070 169070367 225427156 235912140 281783945 338140734 507211101 563567890 676281468 845351835 1014422202 1127135780 1690703670 2028844404 2536055505 3381407340 5072111010 10144222020