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160001000001 = 33103163409863
BaseRepresentation
bin1001010100000011001…
…1011000001001000001
3120021222202002221202000
42111000303120021001
510110140224000001
6201300424414213
714362655026443
oct2250063301101
9507882087660
10160001000001
1161946436507
1227014017369
131211b529b3b
147a5bad4493
154266ad8a86
hex2540cd8241

160001000001 has 64 divisors (see below), whose sum is σ = 241676697600. Its totient is φ = 104605644672.

The previous prime is 160000999973. The next prime is 160001000057. The reversal of 160001000001 is 100000100061.

It is not a de Polignac number, because 160001000001 - 26 = 160000999937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (160001001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185400496 + ... + 185401358.

It is an arithmetic number, because the mean of its divisors is an integer number (3776198400).

Almost surely, 2160001000001 is an apocalyptic number.

160001000001 is the 200001-st decagonal number.

It is an amenable number.

160001000001 is a deficient number, since it is larger than the sum of its proper divisors (81675697599).

160001000001 is a wasteful number, since it uses less digits than its factorization.

160001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 160001000001 its reverse (100000100061), we get a palindrome (260001100062).

The spelling of 160001000001 in words is "one hundred sixty billion, one million, one", and thus it is an aban number.

Divisors: 1 3 9 27 103 163 309 409 489 863 927 1227 1467 2589 2781 3681 4401 7767 11043 16789 23301 42127 50367 66667 88889 126381 140669 151101 200001 266667 352967 379143 422007 453303 600003 800001 1058901 1137429 1266021 1800009 2400003 3176703 3798063 6866701 9530109 14488907 20600103 36355601 43466721 57533621 61800309 109066803 130400163 172600863 185400927 327200409 391200489 517802589 981601227 1553407767 5925962963 17777888889 53333666667 160001000001