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1007101506122 = 21721742390149
BaseRepresentation
bin11101010011110111110…
…11010111001001001010
310120021111122011022111022
432221323323113021022
5113000020441143442
62050353412232442
7132521625362345
oct16517373271112
93507448138438
101007101506122
113591225aa618
1214322430b722
1373c7a62197a
1436a5b66745c
151b2e4e313d2
hexea7bed724a

1007101506122 has 12 divisors (see below), whose sum is σ = 1604741328150. Its totient is φ = 473930120256.

The previous prime is 1007101506109. The next prime is 1007101506179. The reversal of 1007101506122 is 2216051017001.

It can be written as a sum of positive squares in 3 ways, for example, as 997483585081 + 9617921041 = 998741^2 + 98071^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1007101506091 and 1007101506100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 871194497 + ... + 871195652.

Almost surely, 21007101506122 is an apocalyptic number.

1007101506122 is a deficient number, since it is larger than the sum of its proper divisors (597639822028).

1007101506122 is a wasteful number, since it uses less digits than its factorization.

1007101506122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742390185 (or 1742390168 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

The spelling of 1007101506122 in words is "one trillion, seven billion, one hundred one million, five hundred six thousand, one hundred twenty-two".

Divisors: 1 2 17 34 289 578 1742390149 3484780298 29620632533 59241265066 503550753061 1007101506122