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2130321110100 = 2235297251291661
BaseRepresentation
bin11111000000000001000…
…010000111010001010100
321112122201202000011211120
4133000001002013101110
5234400344201010400
64310353410403540
7306624225443331
oct37000102072124
97478652004746
102130321110100
11751511802767
122a4a542905b0
13125b71b18481
1475172865988
153a63411eca0
hex1f001087454

2130321110100 has 144 divisors (see below), whose sum is σ = 6252103964736. Its totient is φ = 559987200000.

The previous prime is 2130321110089. The next prime is 2130321110123. The reversal of 2130321110100 is 10111230312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2130321110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7158270 + ... + 7449930.

It is an arithmetic number, because the mean of its divisors is an integer number (43417388644).

Almost surely, 22130321110100 is an apocalyptic number.

2130321110100 is a gapful number since it is divisible by the number (20) 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 2130321110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126051982368).

2130321110100 is an abundant number, since it is smaller than the sum of its proper divisors (4121782854636).

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

2130321110100 is a wasteful number, since it uses less digits than its factorization.

2130321110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292026 (or 292019 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2130321110100 its reverse (10111230312), we get a palindrome (2140432340412).

The spelling of 2130321110100 in words is "two trillion, one hundred thirty billion, three hundred twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 251 291 300 388 485 502 582 753 970 1004 1164 1255 1455 1506 1940 2425 2510 2910 3012 3765 4850 5020 5820 6275 7275 7530 9700 12550 14550 15060 18825 24347 25100 29100 37650 48694 73041 75300 97388 121735 146082 243470 291661 292164 365205 486940 583322 608675 730410 874983 1166644 1217350 1458305 1460820 1749966 1826025 2434700 2916610 3499932 3652050 4374915 5833220 7291525 7304100 8749830 14583050 17499660 21874575 28291117 29166100 43749150 56582234 73206911 84873351 87498300 113164468 141455585 146413822 169746702 219620733 282911170 292827644 339493404 366034555 424366755 439241466 565822340 707277925 732069110 848733510 878482932 1098103665 1414555850 1464138220 1697467020 1830172775 2121833775 2196207330 2829111700 3660345550 4243667550 4392414660 5490518325 7101070367 7320691100 8487335100 10981036650 14202140734 21303211101 21962073300 28404281468 35505351835 42606422202 71010703670 85212844404 106516055505 142021407340 177526759175 213032111010 355053518350 426064222020 532580277525 710107036700 1065160555050 2130321110100