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1051011136 = 26710921523
BaseRepresentation
bin111110101001010…
…010100001000000
32201020122220020101
4332221102201000
54123024324021
6252142452144
735021306260
oct7651224100
92636586211
101051011136
1149a2a524a
12253b94054
1313998a8a6
149d8297a0
156240aa91
hex3ea52840

1051011136 has 56 divisors (see below), whose sum is σ = 2405522240. Its totient is φ = 446280192.

The previous prime is 1051011121. The next prime is 1051011139. The reversal of 1051011136 is 6311101501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10510111362 = 2209248815992020992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1051011139) 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, 38071 + ... + 59593.

Almost surely, 21051011136 is an apocalyptic number.

1051011136 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 1051011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202761120).

1051011136 is an abundant number, since it is smaller than the sum of its proper divisors (1354511104).

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

1051011136 is a wasteful number, since it uses less digits than its factorization.

1051011136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21651 (or 21641 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 1051011136 is about 32419.3019048838. The cubic root of 1051011136 is about 1016.7225108565.

Adding to 1051011136 its reverse (6311101501), we get a palindrome (7362112637).

The spelling of 1051011136 in words is "one billion, fifty-one million, eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3488 6104 6976 12208 21523 24416 43046 48832 86092 150661 172184 301322 344368 602644 688736 1205288 1377472 2346007 2410576 4692014 4821152 9384028 9642304 16422049 18768056 32844098 37536112 65688196 75072224 131376392 150144448 262752784 525505568 1051011136