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10101001509 = 333731002979
BaseRepresentation
bin10010110100001000…
…10000110100100101
3222001221211001011000
421122010100310211
5131141324022014
64350151303513
7505212044664
oct113204206445
928057731130
1010101001509
11431382aa35
121b5a97ab99
13c4c8c1a91
146bb734ddb
153e1bae509
hex25a110d25

10101001509 has 16 divisors (see below), whose sum is σ = 15004580800. Its totient is φ = 6715940688.

The previous prime is 10101001507. The next prime is 10101001523. The reversal of 10101001509 is 90510010101.

It is not a de Polignac number, because 10101001509 - 21 = 10101001507 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101001491 and 10101001500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001507) 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 15 ways as a sum of consecutive naturals, for example, 491419 + ... + 511560.

It is an arithmetic number, because the mean of its divisors is an integer number (937786300).

Almost surely, 210101001509 is an apocalyptic number.

It is an amenable number.

10101001509 is a deficient number, since it is larger than the sum of its proper divisors (4903579291).

10101001509 is a wasteful number, since it uses less digits than its factorization.

10101001509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003361 (or 1003355 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 18.

The spelling of 10101001509 in words is "ten billion, one hundred one million, one thousand, five hundred nine".

Divisors: 1 3 9 27 373 1119 3357 10071 1002979 3008937 9026811 27080433 374111167 1122333501 3367000503 10101001509