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100970441 = 11133122777
BaseRepresentation
bin1100000010010…
…10111111001001
321000222211101222
412001022333021
5201322023231
614004051425
72334143315
oct601127711
9230884358
10100970441
1151aa4650
1229993b75
1317bc3430
14d5a4b45
158ce727b
hex604afc9

100970441 has 16 divisors (see below), whose sum is σ = 122454528. Its totient is φ = 81993600.

The previous prime is 100970399. The next prime is 100970479. The reversal of 100970441 is 144079001.

It is not a de Polignac number, because 100970441 - 26 = 100970377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100970441.

It is not an unprimeable number, because it can be changed into a prime (100970491) 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 15 ways as a sum of consecutive naturals, for example, 6956 + ... + 15821.

It is an arithmetic number, because the mean of its divisors is an integer number (7653408).

Almost surely, 2100970441 is an apocalyptic number.

100970441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100970441 is a deficient number, since it is larger than the sum of its proper divisors (21484087).

100970441 is a wasteful number, since it uses less digits than its factorization.

100970441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22832.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 100970441 is about 10048.4048982911. The cubic root of 100970441 is about 465.6555151450.

The spelling of 100970441 in words is "one hundred million, nine hundred seventy thousand, four hundred forty-one".

Divisors: 1 11 13 31 143 341 403 4433 22777 250547 296101 706087 3257111 7766957 9179131 100970441