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2213030101200 = 2435229354117959
BaseRepresentation
bin100000001101000010110…
…111111000000011010000
321211120012212120021000020
4200031002313320003100
5242224241201214300
64412352455223440
7315612643326222
oct40150267700320
97746185507006
102213030101200
117835a4886966
122b8a97377b80
131308c32642a9
147917b2d4412
153c87534c8a0
hex20342df80d0

2213030101200 has 240 divisors, whose sum is σ = 7336003382400. Its totient is φ = 569599027200.

The previous prime is 2213030101133. The next prime is 2213030101223. The reversal of 2213030101200 is 21010303122.

It is a tau number, because it is divible by the number of its divisors (240).

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 2213030101200.

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, 123217821 + ... + 123235779.

It is an arithmetic number, because the mean of its divisors is an integer number (30566680760).

Almost surely, 22213030101200 is an apocalyptic number.

2213030101200 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 2213030101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668001691200).

2213030101200 is an abundant number, since it is smaller than the sum of its proper divisors (5122973281200).

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

2213030101200 is a wasteful number, since it uses less digits than its factorization.

2213030101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21550 (or 21539 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2213030101200 its reverse (21010303122), we get a palindrome (2234040404322).

The spelling of 2213030101200 in words is "two trillion, two hundred thirteen billion, thirty million, one hundred one thousand, two hundred".