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1101112020 = 2232529712971
BaseRepresentation
bin100000110100001…
…1010001011010100
32211201221021201200
41001220122023110
54223341041040
6301132352500
736200204061
oct10150321324
92751837650
101101112020
11515604838
12268915730
1314717cb98
14a634bc68
1566a05630
hex41a1a2d4

1101112020 has 144 divisors (see below), whose sum is σ = 3505057920. Its totient is φ = 279417600.

The previous prime is 1101112013. The next prime is 1101112021. The reversal of 1101112020 is 202111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101111993 and 1101112011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101112021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369135 + ... + 372105.

It is an arithmetic number, because the mean of its divisors is an integer number (24340680).

Almost surely, 21101112020 is an apocalyptic number.

1101112020 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 1101112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752528960).

1101112020 is an abundant number, since it is smaller than the sum of its proper divisors (2403945900).

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

1101112020 is a wasteful number, since it uses less digits than its factorization.

1101112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1101112020 is about 33183.0080010839. The cubic root of 1101112020 is about 1032.6278516779.

Adding to 1101112020 its reverse (202111011), we get a palindrome (1303223031).

The spelling of 1101112020 in words is "one billion, one hundred one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 71 87 90 116 142 145 174 180 213 261 284 290 348 355 426 435 522 580 639 710 852 870 1044 1065 1278 1305 1420 1740 2059 2130 2556 2610 2971 3195 4118 4260 5220 5942 6177 6390 8236 8913 10295 11884 12354 12780 14855 17826 18531 20590 24708 26739 29710 30885 35652 37062 41180 44565 53478 59420 61770 74124 86159 89130 92655 106956 123540 133695 172318 178260 185310 210941 258477 267390 344636 370620 421882 430795 516954 534780 632823 775431 843764 861590 1033908 1054705 1265646 1292385 1550862 1723180 1898469 2109410 2531292 2584770 3101724 3164115 3796938 3877155 4218820 5169540 6117289 6328230 7593876 7754310 9492345 12234578 12656460 15508620 18351867 18984690 24469156 30586445 36703734 37969380 55055601 61172890 73407468 91759335 110111202 122345780 183518670 220222404 275278005 367037340 550556010 1101112020