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10202201007 = 3171311527047
BaseRepresentation
bin10011000000001100…
…10011101110101111
3222100000020111202120
421200012103232233
5131343230413012
64404204324023
7510551164155
oct114006235657
928300214676
1010202201007
114365970689
121b88843613
13c6786553b
146cad593d5
153ea9ee58c
hex260193baf

10202201007 has 16 divisors (see below), whose sum is σ = 14513064192. Its totient is φ = 6352511360.

The previous prime is 10202200949. The next prime is 10202201033. The reversal of 10202201007 is 70010220201.

10202201007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10202201007 - 214 = 10202184623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202201047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756843 + ... + 770204.

It is an arithmetic number, because the mean of its divisors is an integer number (907066512).

Almost surely, 210202201007 is an apocalyptic number.

10202201007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10202201007 is a deficient number, since it is larger than the sum of its proper divisors (4310863185).

10202201007 is a wasteful number, since it uses less digits than its factorization.

10202201007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527198.

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 10202201007 its reverse (70010220201), we get a palindrome (80212421208).

The spelling of 10202201007 in words is "ten billion, two hundred two million, two hundred one thousand, seven".

Divisors: 1 3 17 51 131 393 2227 6681 1527047 4581141 25959799 77879397 200043157 600129471 3400733669 10202201007