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1011221112 = 2331173137383
BaseRepresentation
bin111100010001100…
…000001001111000
32121110210100120210
4330101200021320
54032333033422
6244201551120
734026144336
oct7421401170
92543710523
101011221112
11479898430
122427a54a0
131316687b5
149842cb56
155db9b10c
hex3c460278

1011221112 has 128 divisors (see below), whose sum is σ = 2823413760. Its totient is φ = 299243520.

The previous prime is 1011221111. The next prime is 1011221129. The reversal of 1011221112 is 2111221101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011221111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2640073 + ... + 2640455.

It is an arithmetic number, because the mean of its divisors is an integer number (22057920).

Almost surely, 21011221112 is an apocalyptic number.

1011221112 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 1011221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411706880).

1011221112 is an abundant number, since it is smaller than the sum of its proper divisors (1812192648).

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

1011221112 is a wasteful number, since it uses less digits than its factorization.

1011221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1011221112 is about 31799.7030174812. The cubic root of 1011221112 is about 1003.7264668621.

Adding to 1011221112 its reverse (2111221101), we get a palindrome (3122442213).

The spelling of 1011221112 in words is "one billion, eleven million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 137 146 219 264 274 292 383 411 438 548 584 766 803 822 876 1096 1149 1507 1532 1606 1644 1752 2298 2409 3014 3064 3212 3288 4213 4521 4596 4818 6028 6424 8426 9042 9192 9636 10001 12056 12639 16852 18084 19272 20002 25278 27959 30003 33704 36168 40004 50556 52471 55918 60006 80008 83877 101112 104942 110011 111836 120012 157413 167754 209884 220022 223672 240024 307549 314826 330033 335508 419768 440044 577181 615098 629652 660066 671016 880088 922647 1154362 1230196 1259304 1320132 1731543 1845294 2308724 2460392 2640264 3463086 3690588 3830383 4617448 6926172 7381176 7660766 11491149 13852344 15321532 22982298 30643064 42134213 45964596 84268426 91929192 126402639 168536852 252805278 337073704 505610556 1011221112