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2212132112100 = 22325219563229777
BaseRepresentation
bin100000001100001101010…
…110010100011011100100
321211110220021211200112200
4200030031112110123210
5242220421310041400
64412123420214500
7315551460464211
oct40141526243344
97743807750480
102212132112100
117831839a8409
122b888669a430
131307ac1c2cb1
14790d3d3cb08
153c8215bbb00
hex2030d5946e4

2212132112100 has 216 divisors, whose sum is σ = 7311738164640. Its totient is φ = 557859363840.

The previous prime is 2212132112093. The next prime is 2212132112107. The reversal of 2212132112100 is 12112312122.

2212132112100 is a `hidden beast` number, since 221 + 2 + 1 + 321 + 121 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2212132112093) and next prime (2212132112107).

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

It is not an unprimeable number, because it can be changed into a prime (2212132112107) by changing a digit.

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, 9512412 + ... + 9742188.

Almost surely, 22212132112100 is an apocalyptic number.

2212132112100 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 2212132112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655869082320).

2212132112100 is an abundant number, since it is smaller than the sum of its proper divisors (5099606052540).

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

2212132112100 is a wasteful number, since it uses less digits than its factorization.

2212132112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230379 (or 230369 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2212132112100 its reverse (12112312122), we get a palindrome (2224244424222).

It can be divided in two parts, 2212132 and 112100, that added together give a palindrome (2324232).

The spelling of 2212132112100 in words is "two trillion, two hundred twelve billion, one hundred thirty-two million, one hundred twelve thousand, one hundred".