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1111331011021 = 711177131138449
BaseRepresentation
bin10000001011000000011…
…111010111100111001101
310221020112120100202201121
4100023000133113213031
5121202001214323041
62210312144240541
7143201550506050
oct20130037274715
93836476322647
101111331011021
11399349424310
1215b472610151
1380a4b46a91a
143bb08300a97
151dd956277d1
hex102c07d79cd

1111331011021 has 64 divisors (see below), whose sum is σ = 1492544102400. Its totient is φ = 800948736000.

The previous prime is 1111331011009. The next prime is 1111331011039. The reversal of 1111331011021 is 1201101331111.

It is not a de Polignac number, because 1111331011021 - 219 = 1111330486733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1111331010986 and 1111331011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111331011081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28884805 + ... + 28923253.

It is an arithmetic number, because the mean of its divisors is an integer number (23321001600).

Almost surely, 21111331011021 is an apocalyptic number.

1111331011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111331011021 is a deficient number, since it is larger than the sum of its proper divisors (381213091379).

1111331011021 is a wasteful number, since it uses less digits than its factorization.

1111331011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38866.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1111331011021 its reverse (1201101331111), we get a palindrome (2312432342132).

The spelling of 1111331011021 in words is "one trillion, one hundred eleven billion, three hundred thirty-one million, eleven thousand, twenty-one".

Divisors: 1 7 11 17 71 77 119 187 311 497 781 1207 1309 2177 3421 5287 5467 8449 13277 22081 23947 37009 38449 58157 92939 154567 242891 269143 375377 407099 422939 653633 1700237 2627639 2729879 2960573 4129147 4575431 7189963 11957639 19109153 28904029 30028669 46407943 50329741 83703473 131534029 203279863 210200683 324855601 510487373 848992369 920738203 1422959041 2236078493 3573411611 5942946583 9338916059 14432870273 15652549451 65372412413 101030091911 158761573003 1111331011021