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1051314132 = 2231130725943
BaseRepresentation
bin111110101010011…
…100011111010100
32201021020021212110
4332222130133110
54123114023012
6252153151020
735024010531
oct7652343724
92637207773
101051314132
1149a491960
122540bb470
13139a6578b
149d8a7d88
156246a73c
hex3ea9c7d4

1051314132 has 48 divisors (see below), whose sum is σ = 2684892672. Its totient is φ = 317530080.

The previous prime is 1051314113. The next prime is 1051314133. The reversal of 1051314132 is 2314131501.

It is a super-2 number, since 2×10513141322 = 2210522808285826848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1051314099 and 1051314108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051314133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27553 + ... + 53495.

It is an arithmetic number, because the mean of its divisors is an integer number (55935264).

Almost surely, 21051314132 is an apocalyptic number.

1051314132 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 1051314132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342446336).

1051314132 is an abundant number, since it is smaller than the sum of its proper divisors (1633578540).

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

1051314132 is a wasteful number, since it uses less digits than its factorization.

1051314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26268 (or 26266 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1051314132 is about 32423.9746483987. The cubic root of 1051314132 is about 1016.8202051131.

Adding to 1051314132 its reverse (2314131501), we get a palindrome (3365445633).

The spelling of 1051314132 in words is "one billion, fifty-one million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 307 614 921 1228 1842 3377 3684 6754 10131 13508 20262 25943 40524 51886 77829 103772 155658 285373 311316 570746 856119 1141492 1712238 3424476 7964501 15929002 23893503 31858004 47787006 87609511 95574012 175219022 262828533 350438044 525657066 1051314132