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101030931 = 3289126131
BaseRepresentation
bin1100000010110…
…01110000010011
321001002220101100
412001121300103
5201330442211
614005235443
72334514551
oct601316023
9231086340
10101030931
1152036041
1229a02b83
1317c14b21
14d5bcbd1
158d0a156
hex6059c13

101030931 has 12 divisors (see below), whose sum is σ = 147574440. Its totient is φ = 66596640.

The previous prime is 101030921. The next prime is 101030933. The reversal of 101030931 is 139030101.

It is not a de Polignac number, because 101030931 - 27 = 101030803 is a prime.

It is a super-3 number, since 3×1010309313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101030933) 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 11 ways as a sum of consecutive naturals, for example, 62265 + ... + 63866.

It is an arithmetic number, because the mean of its divisors is an integer number (12297870).

Almost surely, 2101030931 is an apocalyptic number.

101030931 is a deficient number, since it is larger than the sum of its proper divisors (46543509).

101030931 is a wasteful number, since it uses less digits than its factorization.

101030931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126226 (or 126223 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 101030931 is about 10051.4143780863. The cubic root of 101030931 is about 465.7484858494.

The spelling of 101030931 in words is "one hundred one million, thirty thousand, nine hundred thirty-one".

Divisors: 1 3 9 89 267 801 126131 378393 1135179 11225659 33676977 101030931