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2133155100 = 2235265310889
BaseRepresentation
bin111111100100101…
…0101110100011100
312111122220111200110
41333021111310130
513332041430400
6551400530020
7103601343036
oct17711256434
95448814613
102133155100
119a5123aaa
124b6480910
1327cc28c6b
1416343ac56
15c7415e50
hex7f255d1c

2133155100 has 72 divisors (see below), whose sum is σ = 6181948080. Its totient is φ = 567918080.

The previous prime is 2133155071. The next prime is 2133155107. The reversal of 2133155100 is 15513312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133155107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190456 + ... + 201344.

It is an arithmetic number, because the mean of its divisors is an integer number (85860390).

Almost surely, 22133155100 is an apocalyptic number.

2133155100 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 2133155100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090974040).

2133155100 is an abundant number, since it is smaller than the sum of its proper divisors (4048792980).

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

2133155100 is a wasteful number, since it uses less digits than its factorization.

2133155100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11559 (or 11552 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 2133155100 is about 46186.0920624380. The cubic root of 2133155100 is about 1287.2833279775.

Adding to 2133155100 its reverse (15513312), we get a palindrome (2148668412).

The spelling of 2133155100 in words is "two billion, one hundred thirty-three million, one hundred fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 653 1306 1959 2612 3265 3918 6530 7836 9795 10889 13060 16325 19590 21778 32650 32667 39180 43556 48975 54445 65300 65334 97950 108890 130668 163335 195900 217780 272225 326670 544450 653340 816675 1088900 1633350 3266700 7110517 14221034 21331551 28442068 35552585 42663102 71105170 85326204 106657755 142210340 177762925 213315510 355525850 426631020 533288775 711051700 1066577550 2133155100