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1011430112 = 25711601683
BaseRepresentation
bin111100010010010…
…011001011100000
32121111011222021112
4330102103023200
54032411230422
6244210242452
734031004560
oct7422231340
92544158245
101011430112
11479a20460
12242886428
1313170c974
1498484da0
155dbdcee2
hex3c4932e0

1011430112 has 96 divisors (see below), whose sum is σ = 2490372864. Its totient is φ = 392832000.

The previous prime is 1011430109. The next prime is 1011430153. The reversal of 1011430112 is 2110341101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480523 + ... + 1481205.

It is an arithmetic number, because the mean of its divisors is an integer number (25941384).

Almost surely, 21011430112 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 1011430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245186432).

1011430112 is an abundant number, since it is smaller than the sum of its proper divisors (1478942752).

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

1011430112 is a wasteful number, since it uses less digits than its factorization.

1011430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1011430112 is about 31802.9890419124. The cubic root of 1011430112 is about 1003.7956124322.

Adding to 1011430112 its reverse (2110341101), we get a palindrome (3121771213).

The spelling of 1011430112 in words is "one billion, eleven million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 601 616 683 1202 1232 1366 2404 2464 2732 4207 4781 4808 5464 6611 7513 8414 9562 9616 10928 13222 15026 16828 19124 19232 21856 26444 30052 33656 38248 46277 52591 52888 60104 67312 76496 92554 105182 105776 120208 134624 152992 185108 210364 211552 240416 370216 410483 420728 740432 820966 841456 1480864 1641932 1682912 2873381 3283864 4515313 5746762 6567728 9030626 11493524 13135456 18061252 22987048 31607191 36122504 45974096 63214382 72245008 91948192 126428764 144490016 252857528 505715056 1011430112