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1001120201109 = 337103109471803
BaseRepresentation
bin11101001000101110110…
…10011111100110010101
310112201001210021112112000
432210113122133212111
5112400243232413414
62043524104145513
7132220456206330
oct16442732374625
93481053245460
101001120201109
11356633288636
12142035168299
13735363a0332
1436651123617
151b094c8cb09
hexe91769f995

1001120201109 has 64 divisors (see below), whose sum is σ = 1727180083200. Its totient is φ = 561316049856.

The previous prime is 1001120201057. The next prime is 1001120201143. The reversal of 1001120201109 is 9011020211001.

It is a happy number.

It is not a de Polignac number, because 1001120201109 - 211 = 1001120199061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001120201091 and 1001120201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001120201189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1886002 + ... + 2357804.

It is an arithmetic number, because the mean of its divisors is an integer number (26987188800).

Almost surely, 21001120201109 is an apocalyptic number.

It is an amenable number.

1001120201109 is a deficient number, since it is larger than the sum of its proper divisors (726059882091).

1001120201109 is a wasteful number, since it uses less digits than its factorization.

1001120201109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472031 (or 472025 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 1001120201109 in words is "one trillion, one billion, one hundred twenty million, two hundred one thousand, one hundred nine".

Divisors: 1 3 7 9 21 27 63 103 109 189 309 327 721 763 927 981 2163 2289 2781 2943 6489 6867 11227 19467 20601 33681 78589 101043 235767 303129 471803 707301 1415409 2121903 3302621 4246227 9907863 12738681 29723589 48595709 51426527 89170767 145787127 154279581 340169963 359985689 437361381 462838743 1020509889 1079957067 1312084143 1388516229 3061529667 3239871201 5296932281 9184589001 9719613603 15890796843 37078525967 47672390529 111235577901 143017171587 333706733703 1001120201109