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10023104224 = 257615931237
BaseRepresentation
bin10010101010110110…
…00110111011100000
3221212112020110011101
421111123012323200
5131011403313344
64334325524144
7503244660130
oct112533067340
927775213141
1010023104224
114283865611
121b38873654
13c39719803
146b1258ac0
153d9e239d4
hex2556c6ee0

10023104224 has 96 divisors (see below), whose sum is σ = 22978904256. Its totient is φ = 4214661120.

The previous prime is 10023104209. The next prime is 10023104249. The reversal of 10023104224 is 42240132001.

10023104224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8102134 + ... + 8103370.

It is an arithmetic number, because the mean of its divisors is an integer number (239363586).

Almost surely, 210023104224 is an apocalyptic number.

10023104224 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 10023104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11489452128).

10023104224 is an abundant number, since it is smaller than the sum of its proper divisors (12955800032).

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

10023104224 is a wasteful number, since it uses less digits than its factorization.

10023104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10023104224 its reverse (42240132001), we get a palindrome (52263236225).

The spelling of 10023104224 in words is "ten billion, twenty-three million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 593 854 976 1186 1237 1708 1952 2372 2474 3416 4151 4744 4948 6832 8302 8659 9488 9896 13664 16604 17318 18976 19792 33208 34636 36173 39584 66416 69272 72346 75457 132832 138544 144692 150914 253211 277088 289384 301828 506422 528199 578768 603656 733541 1012844 1056398 1157536 1207312 1467082 2025688 2112796 2414624 2934164 4051376 4225592 5134787 5868328 8102752 8451184 10269574 11736656 16902368 20539148 23473312 41078296 44746001 82156592 89492002 164313184 178984004 313222007 357968008 626444014 715936016 1252888028 1431872032 2505776056 5011552112 10023104224