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103120122304224 = 25324315753037473
BaseRepresentation
bin10111011100100110000110…
…010000100101011011100000
3111112010012001121220010002100
4113130212012100211123200
5102004010002302213344
61003152421420050400
730502116522140664
oct2734460620453340
9445105047803070
10103120122304224
112a947aa8782a43
12b695454393a00
1345702552b2b6c
141b6707d3aa8a4
15bdc5ceac7569
hex5dc9864256e0

103120122304224 has 144 divisors (see below), whose sum is σ = 301978829264112. Its totient is φ = 33360145588224.

The previous prime is 103120122304159. The next prime is 103120122304319. The reversal of 103120122304224 is 422403221021301.

103120122304224 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 0 + 1 + 2 + 230 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24574449 + ... + 28463024.

It is an arithmetic number, because the mean of its divisors is an integer number (2097075203223).

Almost surely, 2103120122304224 is an apocalyptic number.

It is an amenable number.

103120122304224 is an abundant number, since it is smaller than the sum of its proper divisors (198858706959888).

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

103120122304224 is a wasteful number, since it uses less digits than its factorization.

103120122304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53037689 (or 53037678 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103120122304224 its reverse (422403221021301), we get a palindrome (525523343325525).

The spelling of 103120122304224 in words is "one hundred three trillion, one hundred twenty billion, one hundred twenty-two million, three hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 157 172 258 288 314 344 387 471 516 628 688 774 942 1032 1256 1376 1413 1548 1884 2064 2512 2826 3096 3768 4128 5024 5652 6192 6751 7536 11304 12384 13502 15072 20253 22608 27004 40506 45216 54008 60759 81012 108016 121518 162024 216032 243036 324048 486072 648096 972144 1944288 53037473 106074946 159112419 212149892 318224838 424299784 477337257 636449676 848599568 954674514 1272899352 1697199136 1909349028 2280611339 2545798704 3818698056 4561222678 5091597408 6841834017 7637396112 8326883261 9122445356 13683668034 15274792224 16653766522 18244890712 20525502051 24980649783 27367336068 33307533044 36489781424 41051004102 49961299566 54734672136 66615066088 72979562848 74941949349 82102008204 99922599132 109469344272 133230132176 149883898698 164204016408 199845198264 218938688544 266460264352 299767797396 328408032816 358055980223 399690396528 599535594792 656816065632 716111960446 799380793056 1074167940669 1199071189584 1432223920892 2148335881338 2398142379168 2864447841784 3222503822007 4296671762676 5728895683568 6445007644014 8593343525352 11457791367136 12890015288028 17186687050704 25780030576056 34373374101408 51560061152112 103120122304224