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10341220224 = 273177272179
BaseRepresentation
bin10011010000110001…
…00111111110000000
3222200200211102021110
421220120213332000
5132134323021344
64430052123320
7514156631046
oct115030477600
928620742243
1010341220224
1144273928a5
122007306540
13c8a5bb32a
147015c6396
15407d103b9
hex268627f80

10341220224 has 128 divisors (see below), whose sum is σ = 29138054400. Its totient is φ = 3238354944.

The previous prime is 10341220217. The next prime is 10341220249. The reversal of 10341220224 is 42202214301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×103412202242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10341220224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4744767 + ... + 4746945.

It is an arithmetic number, because the mean of its divisors is an integer number (227641050).

Almost surely, 210341220224 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 10341220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569027200).

10341220224 is an abundant number, since it is smaller than the sum of its proper divisors (18796834176).

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

10341220224 is a wasteful number, since it uses less digits than its factorization.

10341220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10341220224 its reverse (42202214301), we get a palindrome (52543434525).

The spelling of 10341220224 in words is "ten billion, three hundred forty-one million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 727 816 1088 1454 1632 2176 2179 2181 2908 3264 4358 4362 5816 6528 6537 8716 8724 11632 12359 13074 17432 17448 23264 24718 26148 34864 34896 37043 37077 46528 49436 52296 69728 69792 74086 74154 93056 98872 104592 111129 139456 139584 148172 148308 197744 209184 222258 278912 279168 296344 296616 395488 418368 444516 592688 593232 790976 836736 889032 1185376 1186464 1581952 1584133 1778064 2370752 2372928 3168266 3556128 4741504 4745856 4752399 6336532 7112256 9504798 12673064 14224512 19009596 25346128 26930261 38019192 50692256 53860522 76038384 80790783 101384512 107721044 152076768 161581566 202769024 215442088 304153536 323163132 430884176 608307072 646326264 861768352 1292652528 1723536704 2585305056 3447073408 5170610112 10341220224