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1111313322020 = 2251122731168151
BaseRepresentation
bin10000001010111111011…
…011111001000000100100
310221020111100002001222102
4100022333123321000210
5121201432202301040
62210310313151232
7143201244243446
oct20127733710044
93836440061872
101111313322020
1139933a442300
1215b4686bb518
1380a478b6365
143bb05c18496
151dd93cd1515
hex102bf6f9024

1111313322020 has 72 divisors (see below), whose sum is σ = 2566159600704. Its totient is φ = 403963560000.

The previous prime is 1111313322013. The next prime is 1111313322043. The reversal of 1111313322020 is 202233131111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1111313321983 and 1111313322001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6524945 + ... + 6693095.

Almost surely, 21111313322020 is an apocalyptic number.

1111313322020 is a gapful number since it is divisible by the number (10) 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 1111313322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283079800352).

1111313322020 is an abundant number, since it is smaller than the sum of its proper divisors (1454846278684).

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

1111313322020 is a wasteful number, since it uses less digits than its factorization.

1111313322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170913 (or 170900 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1111313322020 its reverse (202233131111), we get a palindrome (1313546453131).

The spelling of 1111313322020 in words is "one trillion, one hundred eleven billion, three hundred thirteen million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 2731 5462 10924 13655 27310 30041 54620 60082 120164 150205 168151 300410 330451 336302 600820 660902 672604 840755 1321804 1652255 1681510 1849661 3304510 3363020 3699322 6609020 7398644 9248305 18496610 20346271 36993220 40692542 81385084 101731355 203462710 406925420 459220381 918440762 1836881524 2296101905 4592203810 5051424191 9184407620 10102848382 20205696764 25257120955 50514241910 55565666101 101028483820 111131332202 222262664404 277828330505 555656661010 1111313322020