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130102212100 = 225271715676977
BaseRepresentation
bin111100100101010110…
…0100011011000000100
3110102211001021011021011
41321022230203120010
54112422131241400
6135433525532004
712254024361550
oct1711254433004
9412731234234
10130102212100
11501a3341643
122126ab74004
13c365111173
146422cb4860
1535b6d038ba
hex1e4ab23604

130102212100 has 144 divisors (see below), whose sum is σ = 341900116992. Its totient is φ = 41949757440.

The previous prime is 130102212047. The next prime is 130102212103. The reversal of 130102212100 is 1212201031.

It is not an unprimeable number, because it can be changed into a prime (130102212103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18643812 + ... + 18650788.

It is an arithmetic number, because the mean of its divisors is an integer number (2374306368).

Almost surely, 2130102212100 is an apocalyptic number.

130102212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130102212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170950058496).

130102212100 is an abundant number, since it is smaller than the sum of its proper divisors (211797904892).

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

130102212100 is a wasteful number, since it uses less digits than its factorization.

130102212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8582 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 130102212100 its reverse (1212201031), we get a palindrome (131314413131).

The spelling of 130102212100 in words is "one hundred thirty billion, one hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1567 1700 2380 2975 3134 5950 6268 6977 7835 10969 11900 13954 15670 21938 26639 27908 31340 34885 39175 43876 48839 53278 54845 69770 78350 97678 106556 109690 118609 133195 139540 156700 174425 186473 195356 219380 237218 244195 266390 274225 348850 372946 474436 488390 532780 548450 593045 665975 697700 745892 830263 932365 976780 1096900 1186090 1220975 1331950 1660526 1864730 2372180 2441950 2663900 2965225 3321052 3729460 4151315 4661825 4883900 5930450 8302630 9323650 10932959 11860900 16605260 18647300 20756575 21865918 41513150 43731836 54664795 76530713 83026300 109329590 153061426 185860303 218659180 273323975 306122852 371720606 382653565 546647950 743441212 765307130 929301515 1093295900 1301022121 1530614260 1858603030 1913267825 2602044242 3717206060 3826535650 4646507575 5204088484 6505110605 7653071300 9293015150 13010221210 18586030300 26020442420 32525553025 65051106050 130102212100