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1110033231021 = 32111317234721617
BaseRepresentation
bin10000001001110011001…
…000101110110010101101
310221010012010100201020200
4100021303020232302231
5121141322001343041
62205535304304113
7143124441532641
oct20116310566255
93833163321220
101110033231021
11398842902a60
1215b16ba72039
13808a262c270
143ba23bdac21
151dd1b7251b6
hex1027322ecad

1110033231021 has 96 divisors (see below), whose sum is σ = 1995440323968. Its totient is φ = 584192286720.

The previous prime is 1110033231017. The next prime is 1110033231023. The reversal of 1110033231021 is 1201323300111.

1110033231021 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 0 + 332 + 310 + 21 = 666.

It is not a de Polignac number, because 1110033231021 - 22 = 1110033231017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1110033230985 and 1110033231003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110033231023) 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, 51339205 + ... + 51360821.

It is an arithmetic number, because the mean of its divisors is an integer number (20785836708).

Almost surely, 21110033231021 is an apocalyptic number.

1110033231021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110033231021 is a deficient number, since it is larger than the sum of its proper divisors (885407092947).

1110033231021 is a wasteful number, since it uses less digits than its factorization.

1110033231021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24011 (or 24008 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1110033231021 its reverse (1201323300111), we get a palindrome (2311356531132).

The spelling of 1110033231021 in words is "one trillion, one hundred ten billion, thirty-three million, two hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1287 1683 1989 2347 2431 7041 7293 21123 21617 21879 25817 30511 39899 64851 77451 91533 119697 194553 232353 237787 274599 281021 335621 359091 367489 438889 518687 713361 843063 1006863 1102467 1316667 1556061 2140083 2529189 3020589 3091231 3307401 3950001 4042379 4668183 4777357 5705557 9273693 12127137 14332071 17116671 27821079 36381411 42996213 50735099 51350013 52550927 152205297 157652781 456615891 472958343 558086089 659556287 862496683 1674258267 1978668861 2587490049 5022774801 5936006583 7255119157 7762470147 9487463513 11212456879 21765357471 28462390539 33637370637 65296072413 85387171617 100912111911 123337025669 370011077007 1110033231021