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1020111316 = 2271713715643
BaseRepresentation
bin111100110011011…
…010100111010100
32122002112000122121
4330303122213110
54042122030231
6245120305324
734164542320
oct7463324724
92562460577
101020111316
1148390a804
12245772244
1313345c183
14996a4980
155e855311
hex3ccda9d4

1020111316 has 48 divisors (see below), whose sum is σ = 2176142976. Its totient is φ = 408443904.

The previous prime is 1020111293. The next prime is 1020111329. The reversal of 1020111316 is 6131110201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020111316.

It is a congruent number.

It is an unprimeable number.

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, 57391 + ... + 73033.

It is an arithmetic number, because the mean of its divisors is an integer number (45336312).

Almost surely, 21020111316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020111316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088071488).

1020111316 is an abundant number, since it is smaller than the sum of its proper divisors (1156031660).

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

1020111316 is a wasteful number, since it uses less digits than its factorization.

1020111316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15808 (or 15806 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1020111316 is about 31939.1815173777. The cubic root of 1020111316 is about 1006.6593269253.

Adding to 1020111316 its reverse (6131110201), we get a palindrome (7151221517).

The spelling of 1020111316 in words is "one billion, twenty million, one hundred eleven thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 68 119 137 238 274 476 548 959 1918 2329 3836 4658 9316 15643 16303 31286 32606 62572 65212 109501 219002 265931 438004 531862 1063724 1861517 2143091 3723034 4286182 7446068 8572364 15001637 30003274 36432547 60006548 72865094 145730188 255027829 510055658 1020111316