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2102021100 = 22325217137387
BaseRepresentation
bin111110101001010…
…0100101111101100
312102111022201212100
41331102210233230
513301104133400
6544325335100
7103042612254
oct17522445754
95374281770
102102021100
11989599623
124a7b67490
13276647a8a
1415d254964
15c4816100
hex7d4a4bec

2102021100 has 108 divisors (see below), whose sum is σ = 6976287864. Its totient is φ = 527562240.

The previous prime is 2102021081. The next prime is 2102021107. The reversal of 2102021100 is 11202012.

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

It is not an unprimeable number, because it can be changed into a prime (2102021107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53394 + ... + 83993.

It is an arithmetic number, because the mean of its divisors is an integer number (64595258).

Almost surely, 22102021100 is an apocalyptic number.

2102021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102021100 is an abundant number, since it is smaller than the sum of its proper divisors (4874266764).

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

2102021100 is a wasteful number, since it uses less digits than its factorization.

2102021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137424 (or 137414 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2102021100 is about 45847.8036551371. The cubic root of 2102021100 is about 1280.9898552544.

Adding to 2102021100 its reverse (11202012), we get a palindrome (2113223112).

The spelling of 2102021100 in words is "two billion, one hundred two million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 137387 274774 412161 549548 686935 824322 1236483 1373870 1648644 2060805 2335579 2472966 2747740 3434675 4121610 4671158 4945932 6182415 6869350 7006737 8243220 9342316 10304025 11677895 12364830 13738700 14013474 20608050 21020211 23355790 24729660 28026948 30912075 35033685 41216100 42040422 46711580 58389475 61824150 70067370 84080844 105101055 116778950 123648300 140134740 175168425 210202110 233557900 350336850 420404220 525505275 700673700 1051010550 2102021100