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10221340423224 = 2337349493735311
BaseRepresentation
bin1001010010111101011101…
…0111010111010000111000
31100012011001210021202120010
42110233113113113100320
52314431301122020344
633423341410301520
72103316226035530
oct224572727272070
940164053252503
1010221340423224
113290934221027
121190b6a2878a0
13591b39771658
14274a0353a4c0
1512ad31b5a8b9
hex94bd75d7438

10221340423224 has 128 divisors (see below), whose sum is σ = 29294270208000. Its totient is φ = 2911342832640.

The previous prime is 10221340423207. The next prime is 10221340423249. The reversal of 10221340423224 is 42232404312201.

It is a junction number, because it is equal to n+sod(n) for n = 10221340423191 and 10221340423200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289448529 + ... + 289483839.

It is an arithmetic number, because the mean of its divisors is an integer number (228861486000).

Almost surely, 210221340423224 is an apocalyptic number.

10221340423224 is a gapful number since it is divisible by the number (14) 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 10221340423224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647135104000).

10221340423224 is an abundant number, since it is smaller than the sum of its proper divisors (19072929784776).

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

10221340423224 is a wasteful number, since it uses less digits than its factorization.

10221340423224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40613 (or 40609 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10221340423224 its reverse (42232404312201), we get a palindrome (52453744735425).

The spelling of 10221340423224 in words is "ten trillion, two hundred twenty-one billion, three hundred forty million, four hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 349 698 1047 1396 2094 2443 2792 4188 4886 4937 7329 8376 9772 9874 14658 14811 19544 19748 29316 29622 34559 35311 39496 58632 59244 69118 70622 103677 105933 118488 138236 141244 207354 211866 247177 276472 282488 414708 423732 494354 741531 829416 847464 988708 1483062 1723013 1977416 2966124 3446026 5169039 5932248 6892052 10338078 12061091 12323539 13784104 20676156 24122182 24647078 36183273 36970617 41352312 48244364 49294156 72366546 73941234 86264773 96488728 98588312 144733092 147882468 172529546 174330407 258794319 289466184 295764936 345059092 348660814 517588638 522991221 690118184 697321628 1035177276 1045982442 1220312849 1394643256 2070354552 2091964884 2440625698 3660938547 4183929768 4881251396 7321877094 9762502792 14643754188 29287508376 60841312043 121682624086 182523936129 243365248172 365047872258 425889184301 486730496344 730095744516 851778368602 1277667552903 1460191489032 1703556737204 2555335105806 3407113474408 5110670211612 10221340423224