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1010302112 = 25175367523
BaseRepresentation
bin111100001101111…
…111110010100000
32121102001122221202
4330031333302200
54032114131422
6244130140332
734015266131
oct7415776240
92542048852
101010302112
1147931aa26
122424216a8
13131406401
149826dc88
155da68b92
hex3c37fca0

1010302112 has 96 divisors (see below), whose sum is σ = 2181961152. Its totient is φ = 458625024.

The previous prime is 1010302063. The next prime is 1010302133. The reversal of 1010302112 is 2112030101.

It is a junction number, because it is equal to n+sod(n) for n = 1010302093 and 1010302102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1931483 + ... + 1932005.

It is an arithmetic number, because the mean of its divisors is an integer number (22728762).

Almost surely, 21010302112 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 1010302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090980576).

1010302112 is an abundant number, since it is smaller than the sum of its proper divisors (1171659040).

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

1010302112 is a wasteful number, since it uses less digits than its factorization.

1010302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1010302112 is about 31785.2499124987. The cubic root of 1010302112 is about 1003.4223117546.

Adding to 1010302112 its reverse (2112030101), we get a palindrome (3122332213).

The spelling of 1010302112 in words is "one billion, ten million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 53 67 68 106 134 136 212 268 272 424 523 536 544 848 901 1046 1072 1139 1696 1802 2092 2144 2278 3551 3604 4184 4556 7102 7208 8368 8891 9112 14204 14416 16736 17782 18224 27719 28408 28832 35041 35564 36448 55438 56816 60367 70082 71128 110876 113632 120734 140164 142256 221752 241468 280328 284512 443504 471223 482936 560656 595697 887008 942446 965872 1121312 1191394 1857173 1884892 1931744 2382788 3714346 3769784 4765576 7428692 7539568 9531152 14857384 15079136 19062304 29714768 31571941 59429536 63143882 126287764 252575528 505151056 1010302112