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2130201120 = 2535231571229
BaseRepresentation
bin111111011111000…
…0100101000100000
312111110100102120210
41332332010220200
513330312413440
6551213334120
7103534260615
oct17676045040
95443312523
102130201120
119a34966a3
124b5497340
1327c433548
14162cac50c
15c7030a80
hex7ef84a20

2130201120 has 192 divisors, whose sum is σ = 7052209920. Its totient is φ = 539455488.

The previous prime is 2130201113. The next prime is 2130201121. The reversal of 2130201120 is 211020312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2130201096 and 2130201105.

It is not an unprimeable number, because it can be changed into a prime (2130201121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1732666 + ... + 1733894.

It is an arithmetic number, because the mean of its divisors is an integer number (36730260).

Almost surely, 22130201120 is an apocalyptic number.

2130201120 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 2130201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526104960).

2130201120 is an abundant number, since it is smaller than the sum of its proper divisors (4922008800).

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

2130201120 is a wasteful number, since it uses less digits than its factorization.

2130201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2130201120 is about 46154.1018762146. The cubic root of 2130201120 is about 1286.6888461490.

Adding to 2130201120 its reverse (211020312), we get a palindrome (2341221432).

The spelling of 2130201120 in words is "two billion, one hundred thirty million, two hundred one thousand, one hundred twenty".