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2102001030 = 23555571553
BaseRepresentation
bin111110101001001…
…1111110110000110
312102111021201100000
41331102133312012
513301103013110
6544325102130
7103042466613
oct17522376606
95374251300
102102001030
11989585538
124a7b57946
1327663b8bc
1415d24b50a
15c48101c0
hex7d49fd86

2102001030 has 96 divisors (see below), whose sum is σ = 5681448864. Its totient is φ = 559166976.

The previous prime is 2102001029. The next prime is 2102001049. The reversal of 2102001030 is 301002012.

It is a happy number.

2102001030 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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, 1352734 + ... + 1354286.

It is an arithmetic number, because the mean of its divisors is an integer number (59181759).

Almost surely, 22102001030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840724432).

2102001030 is an abundant number, since it is smaller than the sum of its proper divisors (3579447834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2102001030 is a wasteful number, since it uses less digits than its factorization.

2102001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2102001030 is about 45847.5847782629. The cubic root of 2102001030 is about 1280.9857782975.

Adding to 2102001030 its reverse (301002012), we get a palindrome (2403003042).

The spelling of 2102001030 in words is "two billion, one hundred two million, one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 557 810 1114 1215 1553 1671 2430 2785 3106 3342 4659 5013 5570 7765 8355 9318 10026 13977 15039 15530 16710 23295 25065 27954 30078 41931 45117 46590 50130 69885 75195 83862 90234 125793 135351 139770 150390 209655 225585 251586 270702 377379 419310 451170 628965 676755 754758 865021 1257930 1353510 1730042 1886895 2595063 3773790 4325105 5190126 7785189 8650210 12975315 15570378 23355567 25950630 38925945 46711134 70066701 77851890 116777835 140133402 210200103 233555670 350333505 420400206 700667010 1051000515 2102001030