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1121010312 = 2332937101431
BaseRepresentation
bin100001011010001…
…0100001010001000
32220010101020001110
41002310110022020
54243434312222
6303123050320
736531300432
oct10264241210
92803336043
101121010312
11525865704
122735109a0
1314b328c16
14a8c4b652
156863630c
hex42d14288

1121010312 has 128 divisors (see below), whose sum is σ = 3013977600. Its totient is φ = 346752000.

The previous prime is 1121010307. The next prime is 1121010329. The reversal of 1121010312 is 2130101211.

It is a super-2 number, since 2×11210103122 = 2513328239220674688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2600737 + ... + 2601167.

It is an arithmetic number, because the mean of its divisors is an integer number (23546700).

Almost surely, 21121010312 is an apocalyptic number.

1121010312 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 1121010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506988800).

1121010312 is an abundant number, since it is smaller than the sum of its proper divisors (1892967288).

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

1121010312 is a wasteful number, since it uses less digits than its factorization.

1121010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 603 counting only the distinct ones).

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

The square root of 1121010312 is about 33481.4920814470. The cubic root of 1121010312 is about 1038.8109907553.

Adding to 1121010312 its reverse (2130101211), we get a palindrome (3251111523).

The spelling of 1121010312 in words is "one billion, one hundred twenty-one million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 37 58 74 87 101 111 116 148 174 202 222 232 296 303 348 404 431 444 606 696 808 862 888 1073 1212 1293 1724 2146 2424 2586 2929 3219 3448 3737 4292 5172 5858 6438 7474 8584 8787 10344 11211 11716 12499 12876 14948 15947 17574 22422 23432 24998 25752 29896 31894 35148 37497 43531 44844 47841 49996 63788 70296 74994 87062 89688 95682 99992 108373 127576 130593 149988 174124 191364 216746 261186 299976 325119 348248 382728 433492 462463 522372 650238 866984 924926 1044744 1262399 1300476 1387389 1610647 1849852 2524798 2600952 2774778 3221294 3699704 3787197 4831941 5049596 5549556 6442588 7574394 9663882 10099192 11099112 12885176 15148788 19327764 30297576 38655528 46708763 93417526 140126289 186835052 280252578 373670104 560505156 1121010312