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102002019 = 3729167491
BaseRepresentation
bin1100001010001…
…10110101100011
321002221020110120
412011012311203
5202103031034
614042131323
72346000660
oct605066543
9232836416
10102002019
1152639699
122a1b0b43
1318194b32
14d792a67
158e4cc49
hex6146d63

102002019 has 16 divisors (see below), whose sum is σ = 160792320. Its totient is φ = 56276640.

The previous prime is 102002003. The next prime is 102002071. The reversal of 102002019 is 910200201.

It is a happy number.

It is not a de Polignac number, because 102002019 - 24 = 102002003 is a prime.

It is a super-2 number, since 2×1020020192 = 20808823760152722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102001989 and 102002007.

It is not an unprimeable number, because it can be changed into a prime (102002119) 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, 83137 + ... + 84354.

It is an arithmetic number, because the mean of its divisors is an integer number (10049520).

Almost surely, 2102002019 is an apocalyptic number.

102002019 is a deficient number, since it is larger than the sum of its proper divisors (58790301).

102002019 is a wasteful number, since it uses less digits than its factorization.

102002019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167530.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 102002019 is about 10099.6048932619. The cubic root of 102002019 is about 467.2359556360.

The spelling of 102002019 in words is "one hundred two million, two thousand, nineteen".

Divisors: 1 3 7 21 29 87 203 609 167491 502473 1172437 3517311 4857239 14571717 34000673 102002019