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1002162018 = 2311137116451
BaseRepresentation
bin111011101110111…
…100011101100010
32120211202002211210
4323232330131202
54023023141033
6243235450550
733556144104
oct7356743542
92524662753
101002162018
11474770180
1223b756a56
1312c8162a0
1497151574
155ceabd63
hex3bbbc762

1002162018 has 64 divisors (see below), whose sum is σ = 2388040704. Its totient is φ = 276360000.

The previous prime is 1002161971. The next prime is 1002162037. The reversal of 1002162018 is 8102612001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002161985 and 1002162003.

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 31 ways as a sum of consecutive naturals, for example, 52693 + ... + 69143.

It is an arithmetic number, because the mean of its divisors is an integer number (37313136).

Almost surely, 21002162018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002162018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194020352).

1002162018 is an abundant number, since it is smaller than the sum of its proper divisors (1385878686).

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

1002162018 is a wasteful number, since it uses less digits than its factorization.

1002162018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16551.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1002162018 is about 31656.9426508625. The cubic root of 1002162018 is about 1000.7201539205.

Adding to 1002162018 its reverse (8102612001), we get a palindrome (9104774019).

The spelling of 1002162018 in words is "one billion, two million, one hundred sixty-two thousand, eighteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 71 78 142 143 213 286 426 429 781 858 923 1562 1846 2343 2769 4686 5538 10153 16451 20306 30459 32902 49353 60918 98706 180961 213863 361922 427726 542883 641589 1085766 1168021 1283178 2336042 2352493 3504063 4704986 7008126 7057479 12848231 14114958 15184273 25696462 30368546 38544693 45552819 77089386 91105638 167027003 334054006 501081009 1002162018