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1001110099990 = 257112139091909
BaseRepresentation
bin11101001000101101100…
…11111101100000010110
310112201001002021100101111
432210112303331200112
5112400233141144430
62043523103445234
7132220304306110
oct16442663754026
93481032240344
101001110099990
11356628609500
121420318b681a
1373534274740
143664da543b0
151b093e44c2a
hexe916cfd816

1001110099990 has 96 divisors (see below), whose sum is σ = 2437795644480. Its totient is φ = 288031645440.

The previous prime is 1001110099907. The next prime is 1001110099991. The reversal of 1001110099990 is 999900111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110099991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4435845 + ... + 4656064.

It is an arithmetic number, because the mean of its divisors is an integer number (25393704630).

Almost surely, 21001110099990 is an apocalyptic number.

1001110099990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001110099990 is an abundant number, since it is smaller than the sum of its proper divisors (1436685544490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001110099990 is a wasteful number, since it uses less digits than its factorization.

1001110099990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091958 (or 9091947 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 1001110099990 in words is "one trillion, one billion, one hundred ten million, ninety-nine thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1573 1694 2002 3146 4235 5005 7865 8470 10010 11011 15730 22022 55055 110110 9091909 18183818 45459545 63643363 90919090 100010999 118194817 127286726 200021998 236389634 318216815 500054995 590974085 636433630 700076993 827363719 1000109990 1100120989 1181948170 1300142987 1400153986 1654727438 2200241978 2600285974 3500384965 4136818595 5500604945 6500714935 7000769930 7700846923 8273637190 9101000909 11001209890 13001429870 14301572857 15401693846 18202001818 28603145714 38504234615 45505004545 71507864285 77008469230 91010009090 100111009999 143015728570 200222019998 500555049995 1001110099990