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101976981 = 3472413001
BaseRepresentation
bin1100001010000…
…00101110010101
321002212222010020
412011000232111
5202101230411
614041415353
72345534661
oct605005625
9232788106
10101976981
11526218a7
122a19a559
1318186612
14d7878a1
158e45606
hex6140b95

101976981 has 16 divisors (see below), whose sum is σ = 139484928. Its totient is φ = 66240000.

The previous prime is 101976977. The next prime is 101976983. The reversal of 101976981 is 189679101.

It is not a de Polignac number, because 101976981 - 22 = 101976977 is a prime.

It is a super-2 number, since 2×1019769812 = 20798609307748722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101976983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32481 + ... + 35481.

It is an arithmetic number, because the mean of its divisors is an integer number (8717808).

Almost surely, 2101976981 is an apocalyptic number.

It is an amenable number.

101976981 is a deficient number, since it is larger than the sum of its proper divisors (37507947).

101976981 is a wasteful number, since it uses less digits than its factorization.

101976981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292.

The product of its (nonzero) digits is 27216, while the sum is 42.

The square root of 101976981 is about 10098.3652637444. The cubic root of 101976981 is about 467.1977223693.

The spelling of 101976981 in words is "one hundred one million, nine hundred seventy-six thousand, nine hundred eighty-one".

Divisors: 1 3 47 141 241 723 3001 9003 11327 33981 141047 423141 723241 2169723 33992327 101976981