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112012020021 = 31123229972281
BaseRepresentation
bin110100001010001101…
…1111100100100110101
3101201010022101011222010
41220110123330210311
53313400034120041
6123242502154433
711043522314016
oct1502433744465
9351108334863
10112012020021
114355a957580
1219860722a19
13a7412c23b5
1455c84cb00d
152da8a81a16
hex1a146fc935

112012020021 has 96 divisors (see below), whose sum is σ = 178085819520. Its totient is φ = 62021836800.

The previous prime is 112012020019. The next prime is 112012020023. The reversal of 112012020021 is 120020210211.

It is an interprime number because it is at equal distance from previous prime (112012020019) and next prime (112012020023).

It is not a de Polignac number, because 112012020021 - 21 = 112012020019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112012019979 and 112012020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012020023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49105401 + ... + 49107681.

It is an arithmetic number, because the mean of its divisors is an integer number (1855060620).

Almost surely, 2112012020021 is an apocalyptic number.

112012020021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112012020021 is a deficient number, since it is larger than the sum of its proper divisors (66073799499).

112012020021 is a wasteful number, since it uses less digits than its factorization.

112012020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112012020021 its reverse (120020210211), we get a palindrome (232032230232).

The spelling of 112012020021 in words is "one hundred twelve billion, twelve million, twenty thousand, twenty-one".

Divisors: 1 3 11 23 29 33 69 87 97 253 291 319 529 667 759 957 1067 1587 2001 2231 2281 2813 3201 5819 6693 6843 7337 8439 15341 17457 22011 24541 25091 30943 46023 51313 52463 64699 66149 73623 75273 92829 153939 157389 168751 194097 198447 221257 506253 564443 577093 663771 711689 727639 1206649 1488077 1521427 1693329 1731279 2135067 2182917 2433827 3619947 4464231 4564281 5088911 6416453 7301481 13273139 15266733 16368847 16735697 19249359 34992821 39819417 49106541 50207091 55978021 70580983 104978463 117044953 147578419 167934063 211742949 351134859 384921031 442735257 1154763093 1287494483 1623362609 3394303637 3862483449 4870087827 10182910911 37337340007 112012020021