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1120444152312 = 2332331531235417
BaseRepresentation
bin10000010011011111101…
…011001111100111111000
310222010001200100022102010
4100103133223033213320
5121324132200333222
62214420330405520
7143643436104102
oct20233753174770
93863050308363
101120444152312
113a21a5572241
121611965908a0
13818714b3014
143c330768572
151e22a70280c
hex104dfacf9f8

1120444152312 has 128 divisors (see below), whose sum is σ = 3074115317760. Its totient is φ = 339195816960.

The previous prime is 1120444152287. The next prime is 1120444152323. The reversal of 1120444152312 is 2132514440211.

It is a self number, because there is not a number n which added to its sum of digits gives 1120444152312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289228 + ... + 1524644.

It is an arithmetic number, because the mean of its divisors is an integer number (24016525920).

Almost surely, 21120444152312 is an apocalyptic number.

1120444152312 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 1120444152312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537057658880).

1120444152312 is an abundant number, since it is smaller than the sum of its proper divisors (1953671165448).

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

1120444152312 is a wasteful number, since it uses less digits than its factorization.

1120444152312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235533 (or 1235529 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1120444152312 its reverse (2132514440211), we get a palindrome (3252958592523).

The spelling of 1120444152312 in words is "one trillion, one hundred twenty billion, four hundred forty-four million, one hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 53 62 69 92 93 106 124 138 159 184 186 212 248 276 318 372 424 552 636 713 744 1219 1272 1426 1643 2139 2438 2852 3286 3657 4278 4876 4929 5704 6572 7314 8556 9752 9858 13144 14628 17112 19716 29256 37789 39432 75578 113367 151156 226734 302312 453468 906936 1235417 2470834 3706251 4941668 7412502 9883336 14825004 28414591 29650008 38297927 56829182 65477101 76595854 85243773 113658364 114893781 130954202 153191708 170487546 196431303 227316728 229787562 261908404 306383416 340975092 392862606 459575124 523816808 681950184 785725212 880852321 919150248 1505973323 1571450424 1761704642 2029790131 2642556963 3011946646 3523409284 4059580262 4517919969 5285113926 6023893292 6089370393 7046818568 8119160524 9035839938 10570227852 12047786584 12178740786 16238321048 18071679876 21140455704 24357481572 36143359752 46685173013 48714963144 93370346026 140055519039 186740692052 280111038078 373481384104 560222076156 1120444152312