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10001022240 = 2535114634091
BaseRepresentation
bin10010101000001101…
…10111110100100000
3221210222200120101010
421110012313310200
5130440230202430
64332220340520
7502556200146
oct112406676440
927728616333
1010001022240
114272353040
121b313a4740
13c34c87851
146ac34b596
153d8010cb0
hex2541b7d20

10001022240 has 192 divisors, whose sum is σ = 34449795072. Its totient is φ = 2418662400.

The previous prime is 10001022223. The next prime is 10001022257. The reversal of 10001022240 is 4222010001.

It is an interprime number because it is at equal distance from previous prime (10001022223) and next prime (10001022257).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2442595 + ... + 2446685.

It is an arithmetic number, because the mean of its divisors is an integer number (179426016).

Almost surely, 210001022240 is an apocalyptic number.

10001022240 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 10001022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224897536).

10001022240 is an abundant number, since it is smaller than the sum of its proper divisors (24448772832).

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

10001022240 is a wasteful number, since it uses less digits than its factorization.

10001022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10001022240 its reverse (4222010001), we get a palindrome (14223032241).

The spelling of 10001022240 in words is "ten billion, one million, twenty-two thousand, two hundred forty".