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1120020182232 = 233737226779481
BaseRepresentation
bin10000010011000110011…
…001111011010011011000
310222001222010120101210120
4100103012121323103120
5121322300131312412
62214310303313240
7143630100316530
oct20230631732330
93861863511716
101120020182232
113a1aa8215246
121610985ab820
13818046cb253
143c2d03244c0
151e2033a6b8c
hex104c667b4d8

1120020182232 has 128 divisors (see below), whose sum is σ = 3288036810240. Its totient is φ = 311215703040.

The previous prime is 1120020182209. The next prime is 1120020182243. The reversal of 1120020182232 is 2322810200211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14051932 + ... + 14131412.

It is an arithmetic number, because the mean of its divisors is an integer number (25687787580).

Almost surely, 21120020182232 is an apocalyptic number.

1120020182232 is a gapful number since it is divisible by the number (12) 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 1120020182232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644018405120).

1120020182232 is an abundant number, since it is smaller than the sum of its proper divisors (2168016628008).

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

1120020182232 is a wasteful number, since it uses less digits than its factorization.

1120020182232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81801 (or 81797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1120020182232 its reverse (2322810200211), we get a palindrome (3442830382443).

The spelling of 1120020182232 in words is "one trillion, one hundred twenty billion, twenty million, one hundred eighty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 2267 3108 4534 6216 6801 9068 13602 15869 18136 27204 31738 47607 54408 63476 79481 83879 95214 126952 158962 167758 190428 238443 251637 317924 335516 380856 476886 503274 556367 587153 635848 671032 953772 1006548 1112734 1174306 1669101 1761459 1907544 2013096 2225468 2348612 2940797 3338202 3522918 4450936 4697224 5881594 6676404 7045836 8822391 11763188 13352808 14091672 17644782 20585579 23526376 35289564 41171158 61756737 70579128 82342316 123513474 164684632 180183427 247026948 360366854 494053896 540550281 720733708 1081100562 1261283989 1441467416 2162201124 2522567978 3783851967 4324402248 5045135956 6666786799 7567703934 10090271912 13333573598 15135407868 20000360397 26667147196 30270815736 40000720794 46667507593 53334294392 80001441588 93335015186 140002522779 160002883176 186670030372 280005045558 373340060744 560010091116 1120020182232