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10201002224 = 24791080377
BaseRepresentation
bin10011000000000011…
…01111000011110000
3222022220222121100012
421200001233003300
5131342424032344
64404122514052
7510535042160
oct114001570360
928286877305
1010201002224
114365221a56
121b88365928
13c675359ba
146cab265a0
153ea86429e
hex26006f0f0

10201002224 has 20 divisors (see below), whose sum is σ = 22587933744. Its totient is φ = 4371858048.

The previous prime is 10201002223. The next prime is 10201002233. The reversal of 10201002224 is 42220010201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10201002199 and 10201002208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201002223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45540077 + ... + 45540300.

Almost surely, 210201002224 is an apocalyptic number.

10201002224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10201002224 is an abundant number, since it is smaller than the sum of its proper divisors (12386931520).

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

10201002224 is an equidigital number, since it uses as much as digits as its factorization.

10201002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91080392 (or 91080386 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10201002224 its reverse (42220010201), we get a palindrome (52421012425).

The spelling of 10201002224 in words is "ten billion, two hundred one million, two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 91080377 182160754 364321508 637562639 728643016 1275125278 1457286032 2550250556 5100501112 10201002224