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1012214016 = 28331113313
BaseRepresentation
bin111100010101010…
…010100100000000
32121112122210121000
4330111102210000
54033111322031
6244235132000
734040451162
oct7425224400
92545583530
101012214016
1147a406410
12242ba4000
13131925708
149860a932
155dce53e6
hex3c552900

1012214016 has 144 divisors (see below), whose sum is σ = 3265657920. Its totient is φ = 306708480.

The previous prime is 1012214009. The next prime is 1012214041. The reversal of 1012214016 is 6104122101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1012214016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69376 + ... + 82688.

It is an arithmetic number, because the mean of its divisors is an integer number (22678180).

Almost surely, 21012214016 is an apocalyptic number.

1012214016 is a gapful number since it is divisible by the number (16) 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 1012214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632828960).

1012214016 is an abundant number, since it is smaller than the sum of its proper divisors (2253443904).

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

1012214016 is a wasteful number, since it uses less digits than its factorization.

1012214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349 (or 13329 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1012214016 is about 31815.3110310115. The cubic root of 1012214016 is about 1004.0548744365.

Adding to 1012214016 its reverse (6104122101), we get a palindrome (7116336117).

The spelling of 1012214016 in words is "one billion, twelve million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 13313 19008 25344 26626 38016 39939 53252 76032 79878 106504 119817 146443 159756 213008 239634 292886 319512 359451 426016 439329 479268 585772 639024 718902 852032 878658 958536 1171544 1278048 1317987 1437804 1704064 1757316 1917072 2343088 2556096 2635974 2875608 3408128 3514632 3834144 3953961 4686176 5112192 5271948 5751216 7029264 7668288 7907922 9372352 10224384 10543896 11502432 14058528 15336576 15815844 18744704 21087792 23004864 28117056 30673152 31631688 37489408 42175584 46009728 56234112 63263376 84351168 92019456 112468224 126526752 168702336 253053504 337404672 506107008 1012214016