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99971001 = 32133143641
BaseRepresentation
bin1011111010101…
…10111110111001
320222010001102200
411331112332321
5201043033001
613530420413
72322511434
oct575267671
9228101380
1099971001
1151481769
1229591709
1317933550
14d3c481b
158b9b086
hex5f56fb9

99971001 has 48 divisors (see below), whose sum is σ = 164516352. Its totient is φ = 58060800.

The previous prime is 99970993. The next prime is 99971017. The reversal of 99971001 is 10017999.

It is not a de Polignac number, because 99971001 - 23 = 99970993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99971051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155641 + ... + 156281.

It is an arithmetic number, because the mean of its divisors is an integer number (3427424).

Almost surely, 299971001 is an apocalyptic number.

It is an amenable number.

99971001 is a deficient number, since it is larger than the sum of its proper divisors (64545351).

99971001 is a wasteful number, since it uses less digits than its factorization.

99971001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 36.

The square root of 99971001 is about 9998.5499448670. The cubic root of 99971001 is about 464.1140118787.

The spelling of 99971001 in words is "ninety-nine million, nine hundred seventy-one thousand, one".

Divisors: 1 3 9 13 31 39 43 93 117 129 279 387 403 559 641 1209 1333 1677 1923 3627 3999 5031 5769 8333 11997 17329 19871 24999 27563 51987 59613 74997 82689 155961 178839 248067 258323 358319 774969 854453 1074957 2324907 2563359 3224871 7690077 11107889 33323667 99971001