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101986101 = 3372157491
BaseRepresentation
bin1100001010000…
…10111100110101
321002220102122000
412011002330311
5202102023401
614041525513
72345603400
oct605027465
9232812560
10101986101
1152628738
122a1a3899
131818a809
14d78ad37
158e48186
hex6142f35

101986101 has 48 divisors (see below), whose sum is σ = 177238080. Its totient is φ = 57788640.

The previous prime is 101986051. The next prime is 101986123. The reversal of 101986101 is 101689101.

It is not a de Polignac number, because 101986101 - 210 = 101985077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

101986101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101986501) 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 47 ways as a sum of consecutive naturals, for example, 207466 + ... + 207956.

It is an arithmetic number, because the mean of its divisors is an integer number (3692460).

Almost surely, 2101986101 is an apocalyptic number.

It is an amenable number.

101986101 is a deficient number, since it is larger than the sum of its proper divisors (75251979).

101986101 is a wasteful number, since it uses less digits than its factorization.

101986101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 101986101 is about 10098.8168118844. The cubic root of 101986101 is about 467.2116494215.

The spelling of 101986101 in words is "one hundred one million, nine hundred eighty-six thousand, one hundred one".

Divisors: 1 3 7 9 21 27 49 63 147 157 189 441 471 491 1099 1323 1413 1473 3297 3437 4239 4419 7693 9891 10311 13257 23079 24059 29673 30933 69237 72177 77087 92799 207711 216531 231261 539609 649593 693783 1618827 2081349 3777263 4856481 11331789 14569443 33995367 101986101