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1031321123120 = 245109182364877
BaseRepresentation
bin11110000000111111000…
…01110111100100110000
310122121000112122100002002
433000133201313210300
5113344121201414440
62105440554513132
7134340045622541
oct17003741674460
93577015570062
101031321123120
11368420984312
12147a634357a8
137633a2832a2
1437cb81104c8
151bc61354115
hexf01f877930

1031321123120 has 80 divisors (see below), whose sum is σ = 2421184677120. Its totient is φ = 408513272832.

The previous prime is 1031321123117. The next prime is 1031321123141. The reversal of 1031321123120 is 213211231301.

It is a happy number.

1031321123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1031321123092 and 1031321123101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15864122 + ... + 15928998.

It is an arithmetic number, because the mean of its divisors is an integer number (30264808464).

Almost surely, 21031321123120 is an apocalyptic number.

1031321123120 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 1031321123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210592338560).

1031321123120 is an abundant number, since it is smaller than the sum of its proper divisors (1389863554000).

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

1031321123120 is a wasteful number, since it uses less digits than its factorization.

1031321123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66822 (or 66816 counting only the distinct ones).

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

Adding to 1031321123120 its reverse (213211231301), we get a palindrome (1244532354421).

The spelling of 1031321123120 in words is "one trillion, thirty-one billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 1823 2180 3646 4360 7292 8720 9115 14584 18230 29168 36460 64877 72920 129754 145840 198707 259508 324385 397414 519016 648770 794828 993535 1038032 1297540 1589656 1987070 2595080 3179312 3974140 5190160 7071593 7948280 14143186 15896560 28286372 35357965 56572744 70715930 113145488 118270771 141431860 236541542 282863720 473083084 565727440 591353855 946166168 1182707710 1892332336 2365415420 4730830840 9461661680 12891514039 25783028078 51566056156 64457570195 103132112312 128915140390 206264224624 257830280780 515660561560 1031321123120