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75930001101 = 3417371914827
BaseRepresentation
bin100011010110111000…
…1111101111011001101
321020222200200201010000
41012231301331323031
52221001040013401
654514243234513
75325421234413
oct1065561757315
9236880621100
1075930001101
112a224562729
1212870978a39
137210b75246
1439644032b3
151e9601d186
hex11adc7decd

75930001101 has 40 divisors (see below), whose sum is σ = 120138828480. Its totient is φ = 47626330752.

The previous prime is 75930001061. The next prime is 75930001117. The reversal of 75930001101 is 10110003957.

It is a happy number.

It is not a de Polignac number, because 75930001101 - 210 = 75930000077 is a prime.

It is a super-2 number, since 2×759300011012 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75930001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5113650 + ... + 5128476.

It is an arithmetic number, because the mean of its divisors is an integer number (3003470712).

Almost surely, 275930001101 is an apocalyptic number.

It is an amenable number.

75930001101 is a deficient number, since it is larger than the sum of its proper divisors (44208827379).

75930001101 is a wasteful number, since it uses less digits than its factorization.

75930001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18575 (or 18566 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The spelling of 75930001101 in words is "seventy-five billion, nine hundred thirty million, one thousand, one hundred one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 3719 11157 14827 33471 44481 63223 100413 133443 189669 252059 301239 400329 569007 756177 1200987 1707021 2268531 5121063 6805593 20416779 55141613 165424839 496274517 937407421 1488823551 2812222263 4466470653 8436666789 25310000367 75930001101