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2136050100 = 22325229223367
BaseRepresentation
bin111111101010001…
…1000100110110100
312111212100120212200
41333110120212310
513333312100400
6551542544500
7103635061212
oct17724304664
95455316780
102136050100
119a6821068
124b7438130
13280700892
14163991cb2
15c77d8b00
hex7f5189b4

2136050100 has 216 divisors, whose sum is σ = 6976220160. Its totient is φ = 546013440.

The previous prime is 2136050099. The next prime is 2136050177. The reversal of 2136050100 is 10506312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 5820117 + ... + 5820483.

Almost surely, 22136050100 is an apocalyptic number.

2136050100 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 2136050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488110080).

2136050100 is an abundant number, since it is smaller than the sum of its proper divisors (4840170060).

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

2136050100 is a wasteful number, since it uses less digits than its factorization.

2136050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2136050100 is about 46217.4220397460. The cubic root of 2136050100 is about 1287.8654079555.

Adding to 2136050100 its reverse (10506312), we get a palindrome (2146556412).

The spelling of 2136050100 in words is "two billion, one hundred thirty-six million, fifty thousand, one hundred".