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100003210312 = 2312500401289
BaseRepresentation
bin101110100100010100…
…1111110010001001000
3100120010101200102222011
41131020221332101020
53114301310212222
6113535115505304
710140113156005
oct1351051762110
9316111612864
10100003210312
1139458229055
121746aa58234
139579394a35
144ba96588ac
152904670c77
hex1748a7e448

100003210312 has 8 divisors (see below), whose sum is σ = 187506019350. Its totient is φ = 50001605152.

The previous prime is 100003210301. The next prime is 100003210337. The reversal of 100003210312 is 213012300001.

It can be written as a sum of positive squares in only one way, i.e., 50187648676 + 49815561636 = 224026^2 + 223194^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×1000032103122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100003210292 and 100003210301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6250200637 + ... + 6250200652.

Almost surely, 2100003210312 is an apocalyptic number.

It is an amenable number.

100003210312 is a deficient number, since it is larger than the sum of its proper divisors (87502809038).

100003210312 is a wasteful number, since it uses less digits than its factorization.

100003210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500401295 (or 12500401291 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100003210312 its reverse (213012300001), we get a palindrome (313015510313).

The spelling of 100003210312 in words is "one hundred billion, three million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 12500401289 25000802578 50001605156 100003210312