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2120100000 = 2535537191
BaseRepresentation
bin111111001011110…
…0010100010100000
312110202100020110020
41332113202202200
513320221200000
6550213033440
7103352360364
oct17627424240
95422306406
102120100000
11998817567
124b2025880
1327a307955
141617dd2a4
15c61d7ba0
hex7e5e28a0

2120100000 has 288 divisors, whose sum is σ = 7181540352. Its totient is φ = 547200000.

The previous prime is 2120099999. The next prime is 2120100023. The reversal of 2120100000 is 10212.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11099905 + ... + 11100095.

It is an arithmetic number, because the mean of its divisors is an integer number (24935904).

Almost surely, 22120100000 is an apocalyptic number.

2120100000 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 2120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590770176).

2120100000 is an abundant number, since it is smaller than the sum of its proper divisors (5061440352).

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

2120100000 is an equidigital number, since it uses as much as digits as its factorization.

2120100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

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

The square root of 2120100000 is about 46044.5436506868. The cubic root of 2120100000 is about 1284.6518560059.

Adding to 2120100000 its reverse (10212), we get a palindrome (2120110212).

The spelling of 2120100000 in words is "two billion, one hundred twenty million, one hundred thousand".