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1002145524 = 223615113577
BaseRepresentation
bin111011101110111…
…000011011110100
32120211201021012220
4323232320123310
54023022124044
6243235242340
733556045032
oct7356703364
92524637186
101002145524
11474759846
1223b7493b0
1312c80b923
1497149552
155cea7019
hex3bbb86f4

1002145524 has 24 divisors (see below), whose sum is σ = 2338891968. Its totient is φ = 333969600.

The previous prime is 1002145513. The next prime is 1002145561. The reversal of 1002145524 is 4255412001.

It is a junction number, because it is equal to n+sod(n) for n = 1002145494 and 1002145503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67024 + ... + 80600.

It is an arithmetic number, because the mean of its divisors is an integer number (97453832).

Almost surely, 21002145524 is an apocalyptic number.

It is an amenable number.

1002145524 is an abundant number, since it is smaller than the sum of its proper divisors (1336746444).

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

1002145524 is a wasteful number, since it uses less digits than its factorization.

1002145524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19735 (or 19733 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1002145524 is about 31656.6821382153. The cubic root of 1002145524 is about 1000.7146638006.

Adding to 1002145524 its reverse (4255412001), we get a palindrome (5257557525).

The spelling of 1002145524 in words is "one billion, two million, one hundred forty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 6151 12302 13577 18453 24604 27154 36906 40731 54308 73812 81462 162924 83512127 167024254 250536381 334048508 501072762 1002145524