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1054010112 = 2831737933
BaseRepresentation
bin111110110100101…
…110101100000000
32201110022021001120
4332310232230000
54124311310422
6252331032240
735055636531
oct7664565400
92643267046
101054010112
114a0a63441
12254b9b680
1313a49a92c
149ddaa688
15627ee45c
hex3ed2eb00

1054010112 has 72 divisors (see below), whose sum is σ = 2821774704. Its totient is φ = 349261824.

The previous prime is 1054010107. The next prime is 1054010117. The reversal of 1054010112 is 2110104501.

It is a happy number.

1054010112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1054010107) and next prime (1054010117).

It is a super-2 number, since 2×10540101122 = 2221874632396505088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054010091 and 1054010100.

It is not an unprimeable number, because it can be changed into a prime (1054010117) 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, 128898 + ... + 136830.

Almost surely, 21054010112 is an apocalyptic number.

1054010112 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 1054010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410887352).

1054010112 is an abundant number, since it is smaller than the sum of its proper divisors (1767764592).

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

1054010112 is an equidigital number, since it uses as much as digits as its factorization.

1054010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1054010112 is about 32465.5218963133. The cubic root of 1054010112 is about 1017.6886379022.

Adding to 1054010112 its reverse (2110104501), we get a palindrome (3164114613).

The spelling of 1054010112 in words is "one billion, fifty-four million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 519 692 768 1038 1384 2076 2768 4152 5536 7933 8304 11072 15866 16608 22144 23799 31732 33216 44288 47598 63464 66432 95196 126928 132864 190392 253856 380784 507712 761568 1015424 1372409 1523136 2030848 2744818 3046272 4117227 5489636 6092544 8234454 10979272 16468908 21958544 32937816 43917088 65875632 87834176 131751264 175668352 263502528 351336704 527005056 1054010112