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1220000100 = 22352114171127
BaseRepresentation
bin100100010110111…
…1011100101100100
310011000122102111220
41020231323211210
54444310000400
6321020500340
742142554414
oct11055734544
93130572456
101220000100
11576727150
122a06aa6b0
131659a7967
14b8058644
157218b7a0
hex48b7b964

1220000100 has 288 divisors, whose sum is σ = 4031741952. Its totient is φ = 282240000.

The previous prime is 1220000077. The next prime is 1220000107. The reversal of 1220000100 is 10000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1220000107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9606237 + ... + 9606363.

It is an arithmetic number, because the mean of its divisors is an integer number (13999104).

Almost surely, 21220000100 is an apocalyptic number.

1220000100 is a gapful number since it is divisible by the number (10) 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 1220000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015870976).

1220000100 is an abundant number, since it is smaller than the sum of its proper divisors (2811741852).

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

1220000100 is a wasteful number, since it uses less digits than its factorization.

1220000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1220000100 is about 34928.4998246418. The cubic root of 1220000100 is about 1068.5297593437.

Adding to 1220000100 its reverse (10000221), we get a palindrome (1230000321).

The spelling of 1220000100 in words is "one billion, two hundred twenty million, one hundred", and thus it is an aban number.