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1110322312020 = 223257737979893
BaseRepresentation
bin10000001010000100010…
…111011111001101010100
310221010221021022112211100
4100022010113133031110
5121142420002441040
62210024112310100
7143134551634455
oct20120427371524
93833837275740
101110322312020
11398980aa9879
1215b230842330
138091a4a60cc
143ba5036b12c
151dd36cc8b30
hex102845df354

1110322312020 has 72 divisors (see below), whose sum is σ = 3372335123976. Its totient is φ = 295702877952.

The previous prime is 1110322312007. The next prime is 1110322312039. The reversal of 1110322312020 is 202132230111.

1110322312020 is a `hidden beast` number, since 1 + 1 + 10 + 322 + 312 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18619148304 + 1091703163716 = 136452^2 + 1044846^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1110322311984 and 1110322312002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3850807 + ... + 4129086.

It is an arithmetic number, because the mean of its divisors is an integer number (46837987833).

Almost surely, 21110322312020 is an apocalyptic number.

1110322312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110322312020 is an abundant number, since it is smaller than the sum of its proper divisors (2262012811956).

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

1110322312020 is a wasteful number, since it uses less digits than its factorization.

1110322312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7980681 (or 7980676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1110322312020 its reverse (202132230111), we get a palindrome (1312454542131).

The spelling of 1110322312020 in words is "one trillion, one hundred ten billion, three hundred twenty-two million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 773 1546 2319 3092 3865 4638 6957 7730 9276 11595 13914 15460 23190 27828 34785 46380 69570 139140 7979893 15959786 23939679 31919572 39899465 47879358 71819037 79798930 95758716 119698395 143638074 159597860 239396790 287276148 359095185 478793580 718190370 1436380740 6168457289 12336914578 18505371867 24673829156 30842286445 37010743734 55516115601 61684572890 74021487468 92526859335 111032231202 123369145780 185053718670 222064462404 277580578005 370107437340 555161156010 1110322312020