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103313322125 = 5313411550669
BaseRepresentation
bin110000000110111110…
…1000011000010001101
3100212200002020112201222
41200031331003002031
53143041202302000
6115243403013125
710315125514526
oct1401575030215
9325602215658
10103313322125
113a8a674a052
121803350a1a5
1399860a7790
14500110784d
152a4a06ea85
hex180df4308d

103313322125 has 32 divisors (see below), whose sum is σ = 142239857760. Its totient is φ = 74432064000.

The previous prime is 103313322059. The next prime is 103313322173. The reversal of 103313322125 is 521223313301.

It can be written as a sum of positive squares in 16 ways, for example, as 103064755369 + 248566756 = 321037^2 + 15766^2 .

It is not a de Polignac number, because 103313322125 - 214 = 103313305741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103313322094 and 103313322103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708710 + ... + 841959.

It is an arithmetic number, because the mean of its divisors is an integer number (4444995555).

Almost surely, 2103313322125 is an apocalyptic number.

It is an amenable number.

103313322125 is a deficient number, since it is larger than the sum of its proper divisors (38926535635).

103313322125 is a wasteful number, since it uses less digits than its factorization.

103313322125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550738 (or 1550728 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 103313322125 its reverse (521223313301), we get a palindrome (624536635426).

The spelling of 103313322125 in words is "one hundred three billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 5 13 25 41 65 125 205 325 533 1025 1625 2665 5125 13325 66625 1550669 7753345 20158697 38766725 63577429 100793485 193833625 317887145 503967425 826506577 1589435725 2519837125 4132532885 7947178625 20662664425 103313322125