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1031414112 = 253233710627
BaseRepresentation
bin111101011110100…
…010000101100000
32122212210021011200
4331132202011200
54103020222422
6250202441200
734362606141
oct7536420540
92585707150
101031414112
1148a22a763
12249503200
131358b8a11
149ada7ac8
15608392ac
hex3d7a2160

1031414112 has 72 divisors (see below), whose sum is σ = 2942064216. Its totient is φ = 342752256.

The previous prime is 1031414101. The next prime is 1031414119. The reversal of 1031414112 is 2114141301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031414119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91743 + ... + 102369.

It is an arithmetic number, because the mean of its divisors is an integer number (40862003).

Almost surely, 21031414112 is an apocalyptic number.

1031414112 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 1031414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471032108).

1031414112 is an abundant number, since it is smaller than the sum of its proper divisors (1910650104).

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

1031414112 is a wasteful number, since it uses less digits than its factorization.

1031414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10980 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1031414112 is about 32115.6365653866. The cubic root of 1031414112 is about 1010.3635955236.

Adding to 1031414112 its reverse (2114141301), we get a palindrome (3145555413).

The spelling of 1031414112 in words is "one billion, thirty-one million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 337 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 10627 10784 12132 16176 21254 24264 31881 32352 42508 48528 63762 85016 95643 97056 127524 170032 191286 255048 340064 382572 510096 765144 1020192 1530288 3060576 3581299 7162598 10743897 14325196 21487794 28650392 32231691 42975588 57300784 64463382 85951176 114601568 128926764 171902352 257853528 343804704 515707056 1031414112