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2100020130 = 2325132277907
BaseRepresentation
bin111110100101011…
…1100001110100010
312102100120002001100
41331022330032202
513300101121010
6544214415230
7103016606445
oct17512741642
95370502040
102100020130
1198845222a
124a7361516
132760c7080
1415cc9365c
15c456d2c0
hex7d2bc3a2

2100020130 has 96 divisors (see below), whose sum is σ = 5906706624. Its totient is φ = 514585728.

The previous prime is 2100020119. The next prime is 2100020141. The reversal of 2100020130 is 310200012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100020119) and next prime (2100020141).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261637 + ... + 269543.

It is an arithmetic number, because the mean of its divisors is an integer number (61528194).

Almost surely, 22100020130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100020130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953353312).

2100020130 is an abundant number, since it is smaller than the sum of its proper divisors (3806686494).

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

2100020130 is a wasteful number, since it uses less digits than its factorization.

2100020130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160 (or 8157 counting only the distinct ones).

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

The square root of 2100020130 is about 45825.9765853386. The cubic root of 2100020130 is about 1280.5832567298.

Adding to 2100020130 its reverse (310200012), we get a palindrome (2410220142).

The spelling of 2100020130 in words is "two billion, one hundred million, twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 227 234 390 454 585 681 1135 1170 1362 2043 2270 2951 3405 4086 5902 6810 7907 8853 10215 14755 15814 17706 20430 23721 26559 29510 39535 44265 47442 53118 71163 79070 88530 102791 118605 132795 142326 205582 237210 265590 308373 355815 513955 616746 711630 925119 1027910 1541865 1794889 1850238 3083730 3589778 4625595 5384667 8974445 9251190 10769334 16154001 17948890 23333557 26923335 32308002 46667114 53846670 70000671 80770005 116667785 140001342 161540010 210002013 233335570 350003355 420004026 700006710 1050010065 2100020130