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1001101100984 = 23418397137871
BaseRepresentation
bin11101001000101100100…
…01101000011110111000
310112201000110100011001222
432210112101220132320
5112400223340212414
62043522142531212
7132220134645665
oct16442621503670
93481013304058
101001101100984
11356623522406
1214202a896b08
137353244369a
143664c790a6c
151b09326868e
hexe9164687b8

1001101100984 has 64 divisors (see below), whose sum is σ = 1948069025280. Its totient is φ = 481948768000.

The previous prime is 1001101100983. The next prime is 1001101101023. The reversal of 1001101100984 is 4890011011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101100983) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26415569 + ... + 26453439.

It is an arithmetic number, because the mean of its divisors is an integer number (30438578520).

Almost surely, 21001101100984 is an apocalyptic number.

It is an amenable number.

1001101100984 is a deficient number, since it is larger than the sum of its proper divisors (946967924296).

1001101100984 is a wasteful number, since it uses less digits than its factorization.

1001101100984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38972 (or 38968 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 26.

Adding to 1001101100984 its reverse (4890011011001), we get a palindrome (5891112111985).

The spelling of 1001101100984 in words is "one trillion, one billion, one hundred one million, one hundred thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 41 82 83 164 166 328 332 664 971 1942 3403 3884 6806 7768 13612 27224 37871 39811 75742 79622 80593 151484 159244 161186 302968 318488 322372 644744 1552711 3105422 3143293 3304313 6210844 6286586 6608626 12421688 12573172 13217252 25146344 26434504 36772741 73545482 128875013 147090964 257750026 294181928 515500052 1031000104 1507682381 3015364762 3052137503 6030729524 6104275006 12061459048 12208550012 24417100024 125137637623 250275275246 500550550492 1001101100984