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990601111601101 = 721113148799501517
BaseRepresentation
bin1110000100111100100100101…
…1010111101111111111001101
311210220102112121200110021120001
43201033021023113233333031
52014320002034032213401
613430455511314124301
7415440366002044600
oct34117111327577715
94726375550407501
10990601111601101
112676aa632643510
129312916bb80691
133369838cc3c8a0
14136894c750a337
15797cc1caee601
hex384f24b5effcd

990601111601101 has 48 divisors (see below), whose sum is σ = 1353879661155840. Its totient is φ = 712472317441920.

The previous prime is 990601111601051. The next prime is 990601111601137. The reversal of 990601111601101 is 101106111106099.

It is not a de Polignac number, because 990601111601101 - 215 = 990601111568333 is a prime.

It is a super-3 number, since 3×9906011116011013 (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990601111601201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99506395 + ... + 109007911.

It is an arithmetic number, because the mean of its divisors is an integer number (28205826274080).

Almost surely, 2990601111601101 is an apocalyptic number.

990601111601101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

990601111601101 is a deficient number, since it is larger than the sum of its proper divisors (363278549554739).

990601111601101 is a wasteful number, since it uses less digits than its factorization.

990601111601101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516434 (or 9516427 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 37.

The spelling of 990601111601101 in words is "nine hundred ninety trillion, six hundred one billion, one hundred eleven million, six hundred one thousand, one hundred one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 14879 104153 163669 193427 729071 1145683 1353989 2127697 8019781 9477923 9501517 14893879 66510619 104257153 104516687 123519721 465574333 731616809 864638047 1358716931 5121317663 6052466329 9511018517 66577129619 141373071443 989611500101 1555103785873 1837849928759 6927280500707 10885726501111 12864949501313 20216349216349 76200085507777 90054646509191 141514444514443 990601111601101