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1002140112 = 24343539161
BaseRepresentation
bin111011101110110…
…111000111010000
32120211200222210110
4323232313013100
54023021440422
6243235201320
733556023201
oct7356670720
92524628713
101002140112
11474755776
1223b746240
1312c80931c
14971475a8
155cea560c
hex3bbb71d0

1002140112 has 80 divisors (see below), whose sum is σ = 2699345088. Its totient is φ = 320087040.

The previous prime is 1002140101. The next prime is 1002140129. The reversal of 1002140112 is 2110412001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104812 + ... + 113972.

Almost surely, 21002140112 is an apocalyptic number.

1002140112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002140112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349672544).

1002140112 is an abundant number, since it is smaller than the sum of its proper divisors (1697204976).

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

1002140112 is a wasteful number, since it uses less digits than its factorization.

1002140112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9268 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1002140112 is about 31656.5966585165. The cubic root of 1002140112 is about 1000.7128623732.

Adding to 1002140112 its reverse (2110412001), we get a palindrome (3112552113).

The spelling of 1002140112 in words is "one billion, two million, one hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 53 86 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 2064 2279 2544 4558 6837 9116 9161 13674 18232 18322 27348 27483 36464 36644 54696 54966 73288 109392 109932 146576 219864 393923 439728 485533 787846 971066 1181769 1456599 1575692 1942132 2363538 2913198 3151384 3884264 4727076 5826396 6302768 7768528 9454152 11652792 18908304 20877919 23305584 41755838 62633757 83511676 125267514 167023352 250535028 334046704 501070056 1002140112