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2001120099 = 3111723753107
BaseRepresentation
bin111011101000110…
…1010101101100011
312011110110102201020
41313101222231203
513044241320344
6530322540523
7100406145246
oct16721525543
95143412636
102001120099
11937642170
1247a207743
1325b77a144
1414daab25d
15baa34719
hex7746ab63

2001120099 has 96 divisors (see below), whose sum is σ = 3265733376. Its totient is φ = 1079470080.

The previous prime is 2001120047. The next prime is 2001120103. The reversal of 2001120099 is 9900211002.

It is not a de Polignac number, because 2001120099 - 27 = 2001119971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001120899) 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, 18702004 + ... + 18702110.

It is an arithmetic number, because the mean of its divisors is an integer number (34018056).

Almost surely, 22001120099 is an apocalyptic number.

2001120099 is a deficient number, since it is larger than the sum of its proper divisors (1264613277).

2001120099 is a wasteful number, since it uses less digits than its factorization.

2001120099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 2001120099 is about 44733.8808846270. The cubic root of 2001120099 is about 1260.1562120509.

The spelling of 2001120099 in words is "two billion, one million, one hundred twenty thousand, ninety-nine".

Divisors: 1 3 11 17 33 37 51 53 107 111 159 187 289 321 407 561 583 629 867 901 1177 1221 1749 1819 1887 1961 2703 3179 3531 3959 5457 5671 5883 6919 9537 9911 10693 11877 15317 17013 20009 20757 21571 29733 30923 32079 33337 43549 45951 60027 62381 64713 67303 92769 96407 100011 117623 130647 168487 187143 201909 209827 289221 340153 352869 366707 505461 566729 629481 740333 1020459 1060477 1100121 1144151 1638919 1700187 2220999 2308097 3181431 3432453 3567059 4916757 6234019 6924291 10701177 12585661 18028109 18702057 37756983 39237649 54084327 60640003 117712947 181920009 667040033 2001120099