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1001000100919 = 71311000001109
BaseRepresentation
bin11101001000100000100…
…00010110010000110111
310112200202102021211000211
432210100100112100313
5112400022011212134
62043504134050251
7132214500320110
oct16442020262067
93480672254024
101001000100919
11356581508585
12142000aa9987
137351753c930
143663d1bd207
151b089467764
hexe910416437

1001000100919 has 8 divisors (see below), whose sum is σ = 1232000124320. Its totient is φ = 792000079776.

The previous prime is 1001000100913. The next prime is 1001000100929. The reversal of 1001000100919 is 9190010001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001000100919 - 211 = 1001000098871 is a prime.

It is a super-3 number, since 3×10010001009193 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1001000100919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000100913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5500000464 + ... + 5500000645.

It is an arithmetic number, because the mean of its divisors is an integer number (154000015540).

Almost surely, 21001000100919 is an apocalyptic number.

1001000100919 is a deficient number, since it is larger than the sum of its proper divisors (231000023401).

1001000100919 is a wasteful number, since it uses less digits than its factorization.

1001000100919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11000001129.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 1001000100919 in words is "one trillion, one billion, one hundred thousand, nine hundred nineteen".

Divisors: 1 7 13 91 11000001109 77000007763 143000014417 1001000100919