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1002102112 = 251115718133
BaseRepresentation
bin111011101110101…
…101110101100000
32120211122001200001
4323232231311200
54023014231422
6243234305344
733555504334
oct7356556540
92524561601
101002102112
1147472a170
1223b728254
1312c7c4c3b
14971377c4
155ce99227
hex3bbadd60

1002102112 has 48 divisors (see below), whose sum is σ = 2166070032. Its totient is φ = 452574720.

The previous prime is 1002102109. The next prime is 1002102113. The reversal of 1002102112 is 2112012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002102113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46198 + ... + 64330.

It is an arithmetic number, because the mean of its divisors is an integer number (45126459).

Almost surely, 21002102112 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 1002102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083035016).

1002102112 is an abundant number, since it is smaller than the sum of its proper divisors (1163967920).

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

1002102112 is a wasteful number, since it uses less digits than its factorization.

1002102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18311 (or 18303 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1002102112 is about 31655.9964619659. The cubic root of 1002102112 is about 1000.7002135865.

Adding to 1002102112 its reverse (2112012001), we get a palindrome (3114114113).

The spelling of 1002102112 in words is "one billion, two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 628 1256 1727 2512 3454 5024 6908 13816 18133 27632 36266 55264 72532 145064 199463 290128 398926 580256 797852 1595704 2846881 3191408 5693762 6382816 11387524 22775048 31315691 45550096 62631382 91100192 125262764 250525528 501051056 1002102112