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1000110012 = 2231122329947
BaseRepresentation
bin111011100111000…
…111011110111100
32120200212212000120
4323213013132330
54022012010022
6243123454540
733532536426
oct7347073674
92520785016
101000110012
11473599500
1223ab27450
1312c278295
1496b79816
155cc03d5c
hex3b9c77bc

1000110012 has 72 divisors (see below), whose sum is σ = 2676632448. Its totient is φ = 289877280.

The previous prime is 1000109993. The next prime is 1000110019. The reversal of 1000110012 is 2100110001.

It is a super-2 number, since 2×10001100122 = 2000440072205280288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000110019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18423 + ... + 48369.

Almost surely, 21000110012 is an apocalyptic number.

1000110012 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 1000110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338316224).

1000110012 is an abundant number, since it is smaller than the sum of its proper divisors (1676522436).

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

1000110012 is a wasteful number, since it uses less digits than its factorization.

1000110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29999 (or 29986 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1000110012 is about 31624.5159962963. The cubic root of 1000110012 is about 1000.0366693220.

Adding to 1000110012 its reverse (2100110001), we get a palindrome (3100220013).

The spelling of 1000110012 in words is "one billion, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 2783 3036 5566 8349 11132 16698 29947 33396 59894 89841 119788 179682 329417 359364 658834 688781 988251 1317668 1377562 1976502 2066343 2755124 3623587 3953004 4132686 7247174 7576591 8265372 10870761 14494348 15153182 21741522 22729773 30306364 43483044 45459546 83342501 90919092 166685002 250027503 333370004 500055006 1000110012