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101000009985 = 3572933169133
BaseRepresentation
bin101111000010000010…
…0011101100100000001
3100122200212100010001120
41132010010131210001
53123322000304420
6114222044422453
710203605630340
oct1360404354401
9318625303046
10101000009985
1139919966436
12176a8847a29
1396a7a51324
144c61bb1b57
152961e1dd40
hex178411d901

101000009985 has 32 divisors (see below), whose sum is σ = 191054211840. Its totient is φ = 44579313408.

The previous prime is 101000009983. The next prime is 101000010017. The reversal of 101000009985 is 589900000101.

It is not a de Polignac number, because 101000009985 - 21 = 101000009983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000009983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16581522 + ... + 16587611.

It is an arithmetic number, because the mean of its divisors is an integer number (5970444120).

Almost surely, 2101000009985 is an apocalyptic number.

101000009985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101000009985 is a deficient number, since it is larger than the sum of its proper divisors (90054201855).

101000009985 is a wasteful number, since it uses less digits than its factorization.

101000009985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33169177.

The product of its (nonzero) digits is 3240, while the sum is 33.

The spelling of 101000009985 in words is "one hundred one billion, nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 21 29 35 87 105 145 203 435 609 1015 3045 33169133 99507399 165845665 232183931 497536995 696551793 961904857 1160919655 2885714571 3482758965 4809524285 6733333999 14428572855 20200001997 33666669995 101000009985