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10403114323224 = 233741549116549
BaseRepresentation
bin1001011101100010100111…
…1011110000110100011000
31100211112020220221122010210
42113120221323300310120
52330421034231320344
634043042540011120
72122412604510000
oct227305173606430
940745226848123
1010403114323224
113350a32910567
121200239b30aa0
135a6017a6816c
1427d728b77000
1513091ee63db9
hex97629ef0d18

10403114323224 has 160 divisors (see below), whose sum is σ = 30360459150000. Its totient is φ = 2970374029056.

The previous prime is 10403114323201. The next prime is 10403114323271. The reversal of 10403114323224 is 42232341130401.

10403114323224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10403114323191 and 10403114323200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89201302 + ... + 89317850.

Almost surely, 210403114323224 is an apocalyptic number.

10403114323224 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 10403114323224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180229575000).

10403114323224 is an abundant number, since it is smaller than the sum of its proper divisors (19957344826776).

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

10403114323224 is a wasteful number, since it uses less digits than its factorization.

10403114323224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118135 (or 118110 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10403114323224 its reverse (42232341130401), we get a palindrome (52635455453625).

The spelling of 10403114323224 in words is "ten trillion, four hundred three billion, one hundred fourteen million, three hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 1549 2058 2401 2744 3098 4116 4647 4802 6196 7203 8232 9294 9604 10843 12392 14406 18588 19208 21686 28812 32529 37176 43372 57624 65058 75901 86744 116549 130116 151802 227703 233098 260232 303604 349647 455406 466196 531307 607208 699294 815843 910812 932392 1062614 1398588 1593921 1631686 1821624 2125228 2447529 2797176 3187842 3263372 3719149 4250456 4895058 5710901 6375684 6526744 7438298 9790116 11157447 11421802 12751368 14876596 17132703 19580232 22314894 22843604 29753192 34265406 39976307 44629788 45687208 68530812 79952614 89259576 119928921 137061624 159905228 180534401 239857842 279834149 319810456 361068802 479715684 541603203 559668298 722137604 839502447 959431368 1083206406 1119336596 1263740807 1444275208 1679004894 2166412812 2238673192 2527481614 3358009788 3791222421 4332825624 5054963228 6716019576 7582444842 8846185649 10109926456 15164889684 17692371298 26538556947 30329779368 35384742596 53077113894 61923299543 70769485192 106154227788 123846599086 185769898629 212308455576 247693198172 371539797258 433463096801 495386396344 743079594516 866926193602 1300389290403 1486159189032 1733852387204 2600778580806 3467704774408 5201557161612 10403114323224