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100022009985 = 32519116984807
BaseRepresentation
bin101110100100111000…
…1101100000010000001
3100120011201001120021100
41131021301230002001
53114321113304420
6113541030445013
710140432025362
oct1351161540201
9316151046240
10100022009985
11394678a9577
1217475203769
1395802479c1
144babd4db69
152906136190
hex1749c6c081

100022009985 has 24 divisors (see below), whose sum is σ = 182496300480. Its totient is φ = 50537436192.

The previous prime is 100022009957. The next prime is 100022009987. The reversal of 100022009985 is 589900220001.

It is not a de Polignac number, because 100022009985 - 29 = 100022009473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100022009987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58491549 + ... + 58493258.

It is an arithmetic number, because the mean of its divisors is an integer number (7604012520).

Almost surely, 2100022009985 is an apocalyptic number.

100022009985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100022009985 is a deficient number, since it is larger than the sum of its proper divisors (82474290495).

100022009985 is a wasteful number, since it uses less digits than its factorization.

100022009985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116984837 (or 116984834 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 100022009985 its reverse (589900220001), we get a palindrome (689922229986).

The spelling of 100022009985 in words is "one hundred billion, twenty-two million, nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 116984807 350954421 584924035 1052863263 1754772105 2222711333 5264316315 6668133999 11113556665 20004401997 33340669995 100022009985