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123455098771225 = 5213247236372
BaseRepresentation
bin11100000100100000100001…
…010011101101011100011001
3121012010012012002200021012221
4130010200201103231130121
5112140142020241134400
61114322253414304041
735001223302156244
oct3404404123553431
9535105162607187
10123455098771225
1136378016874651
1211a1a512958021
1353b69c5799900
14226b389aac25b
15e4153ca9ec1a
hex7048214ed719

123455098771225 has 81 divisors (see below), whose sum is σ = 169414419203127. Its totient is φ = 89202588958080.

The previous prime is 123455098771223. The next prime is 123455098771321. The reversal of 123455098771225 is 522177890554321.

The square root of 123455098771225 is 11111035.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 107463513664521 + 15991585106704 = 10366461^2 + 3998948^2 .

It is not a de Polignac number, because 123455098771225 - 21 = 123455098771223 is a prime.

It is a super-2 number, since 2×1234550987712252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123455098771223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33944210107 + ... + 33944213743.

Almost surely, 2123455098771225 is an apocalyptic number.

123455098771225 is the 11111035-th square number.

123455098771225 is the 5555518-th centered octagonal number.

It is an amenable number.

123455098771225 is a deficient number, since it is larger than the sum of its proper divisors (45959320431902).

123455098771225 is an frugal number, since it uses more digits than its factorization.

123455098771225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 61.

The spelling of 123455098771225 in words is "one hundred twenty-three trillion, four hundred fifty-five billion, ninety-eight million, seven hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 5 13 25 47 65 169 235 325 611 845 1175 2209 3055 3637 4225 7943 11045 15275 18185 28717 39715 47281 55225 90925 143585 170939 198575 236405 373321 614653 717925 854695 1182025 1866605 2222207 3073265 4273475 8034133 9333025 11111035 13227769 15366325 28888691 40170665 55555175 66138845 104443729 144443455 171960997 200853325 330694225 522218645 621705143 722217275 859804985 1357768477 2235492961 2611093225 3108525715 4299024925 6788842385 8082166859 11177464805 15542628575 29220141721 33944211925 40410834295 55887324025 105068169167 146100708605 202054171475 379861842373 525340845835 730503543025 1899309211865 2626704229175 4938203950849 9496546059325 24691019754245 123455098771225