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1051110016 = 27115912653
BaseRepresentation
bin111110101001101…
…010101010000000
32201020211220212121
4332221222222000
54123041010031
6252144534024
735022200455
oct7651525200
92636756777
101051110016
1149a362570
12254021314
131399c38b8
149d85382c
156242a011
hex3ea6aa80

1051110016 has 64 divisors (see below), whose sum is σ = 2323274400. Its totient is φ = 469642240.

The previous prime is 1051110013. The next prime is 1051110019. The reversal of 1051110016 is 6100111501.

It is an interprime number because it is at equal distance from previous prime (1051110013) and next prime (1051110019).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10511100162 = 2209664531471040512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1051110013) 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, 76746 + ... + 89398.

Almost surely, 21051110016 is an apocalyptic number.

1051110016 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 1051110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161637200).

1051110016 is an abundant number, since it is smaller than the sum of its proper divisors (1272164384).

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

1051110016 is a wasteful number, since it uses less digits than its factorization.

1051110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12737 (or 12725 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

The square root of 1051110016 is about 32420.8268864321. The cubic root of 1051110016 is about 1016.7543945558.

Adding to 1051110016 its reverse (6100111501), we get a palindrome (7151221517).

The spelling of 1051110016 in words is "one billion, fifty-one million, one hundred ten thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 128 176 236 352 472 649 704 944 1298 1408 1888 2596 3776 5192 7552 10384 12653 20768 25306 41536 50612 83072 101224 139183 202448 278366 404896 556732 746527 809792 1113464 1493054 1619584 2226928 2986108 4453856 5972216 8211797 8907712 11944432 16423594 17815424 23888864 32847188 47777728 65694376 95555456 131388752 262777504 525555008 1051110016