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123103320252224 = 2613263356194729
BaseRepresentation
bin11011111111011000111001…
…101011001001111101000000
3121010212120012001022221102212
4123333120321223021331000
5112113411044441032344
61113452515024001252
734633631015121344
oct3377307153117500
9533776161287385
10123103320252224
1136251908a92694
12119822b8a60228
13538c7935bc7a0
142258337d55624
15e372ee83779e
hex6ff639ac9f40

123103320252224 has 56 divisors (see below), whose sum is σ = 263174081661960. Its totient is φ = 56795337252864.

The previous prime is 123103320252181. The next prime is 123103320252301. The reversal of 123103320252224 is 422252023301321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3246367925824 + 119856952326400 = 1801768^2 + 10947920^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25906709 + ... + 30288020.

It is an arithmetic number, because the mean of its divisors is an integer number (4699537172535).

Almost surely, 2123103320252224 is an apocalyptic number.

It is an amenable number.

123103320252224 is an abundant number, since it is smaller than the sum of its proper divisors (140070761409736).

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

123103320252224 is a wasteful number, since it uses less digits than its factorization.

123103320252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56197387 (or 56197377 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 123103320252224 its reverse (422252023301321), we get a palindrome (545355343553545).

The spelling of 123103320252224 in words is "one hundred twenty-three trillion, one hundred three billion, three hundred twenty million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 2633 5266 10532 21064 34229 42128 68458 84256 136916 168512 273832 547664 1095328 2190656 56194729 112389458 224778916 449557832 730531477 899115664 1461062954 1798231328 2922125908 3596462656 5844251816 11688503632 23377007264 46754014528 147960721457 295921442914 591842885828 1183685771656 1923489378941 2367371543312 3846978757882 4734743086624 7693957515764 9469486173248 15387915031528 30775830063056 61551660126112 123103320252224