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1005115462130 = 251325571067761
BaseRepresentation
bin11101010000001011000…
…11001101000111110010
310120002101020001211022102
432220011203031013302
5112431434024242010
62045424344340402
7132421461314543
oct16500543150762
93502336054272
101005115462130
113582a352534a
1214296b174702
1373a22022a00
143690d9a24ca
151b22a8c8ba5
hexea058cd1f2

1005115462130 has 48 divisors (see below), whose sum is σ = 1962602079624. Its totient is φ = 370452925440.

The previous prime is 1005115462121. The next prime is 1005115462171. The reversal of 1005115462130 is 312645115001.

It can be written as a sum of positive squares in 12 ways, for example, as 204829561561 + 800285900569 = 452581^2 + 894587^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1005115462093 and 1005115462102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407450 + ... + 1475210.

Almost surely, 21005115462130 is an apocalyptic number.

1005115462130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005115462130 is a deficient number, since it is larger than the sum of its proper divisors (957486617494).

1005115462130 is a wasteful number, since it uses less digits than its factorization.

1005115462130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068351 (or 1068338 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 1005115462130 in words is "one trillion, five billion, one hundred fifteen million, four hundred sixty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 169 338 557 845 1114 1690 2785 5570 7241 14482 36205 72410 94133 188266 470665 941330 1067761 2135522 5338805 10677610 13880893 27761786 69404465 138808930 180451609 360903218 594742877 902258045 1189485754 1804516090 2973714385 5947428770 7731657401 15463314802 38658287005 77316574010 100511546213 201023092426 502557731065 1005115462130