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9900001111 = 731121359311
BaseRepresentation
bin10010011100001011…
…00000011101010111
3221112221121011102211
421032011200131113
5130233400013421
64314211214251
7500221423000
oct111605403527
927487534384
109900001111
114220324400
121b035a7387
13c1a077330
1469cb721a7
153ce2089e1
hex24e160757

9900001111 has 96 divisors (see below), whose sum is σ = 13942656000. Its totient is φ = 6977678400.

The previous prime is 9900001103. The next prime is 9900001117. The reversal of 9900001111 is 1111000099.

It is not a de Polignac number, because 9900001111 - 23 = 9900001103 is a prime.

9900001111 is a modest number, since divided by 1111 gives 99 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9900001117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31832646 + ... + 31832956.

It is an arithmetic number, because the mean of its divisors is an integer number (145236000).

Almost surely, 29900001111 is an apocalyptic number.

9900001111 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9900001111 is a deficient number, since it is larger than the sum of its proper divisors (4042654889).

9900001111 is a wasteful number, since it uses less digits than its factorization.

9900001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

The square root of 9900001111 is about 99498.7492936469. The cubic root of 9900001111 is about 2147.2292493412.

The spelling of 9900001111 in words is "nine billion, nine hundred million, one thousand, one hundred eleven".

Divisors: 1 7 11 13 49 59 77 91 121 143 311 343 413 539 637 649 767 847 1001 1573 2177 2891 3421 3773 4043 4459 4543 5369 5929 7007 7139 8437 11011 15239 18349 20237 23947 28301 31801 37583 37631 41503 44473 49049 49973 59059 77077 92807 106673 128443 167629 198107 201839 222607 238537 263081 263417 311311 349811 413413 489203 539539 649649 899101 1173403 1386749 1412873 1669759 1843919 2179177 2220229 2448677 2623907 2893891 3424421 4547543 6293707 9890111 11688313 12907433 15254239 15541603 18367349 23970947 28862977 31832801 69230777 81818191 108791221 128571443 167796629 202040839 761538547 900000101 1414285873 9900001111