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1031031203120 = 245431741172153
BaseRepresentation
bin11110000000011100011…
…11111010010100110000
310122120021100002212121022
433000032033322110300
5113343022441444440
62105352120515012
7134326625424662
oct17001617722460
93576240085538
101031031203120
11368292265106
121479a231ba68
13762c21a45a9
1437c8b802532
151bc45b86cb5
hexf00e3fa530

1031031203120 has 80 divisors (see below), whose sum is σ = 2454318321312. Its totient is φ = 402587781120.

The previous prime is 1031031203119. The next prime is 1031031203179. The reversal of 1031031203120 is 213021301301.

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

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 15 ways as a sum of consecutive naturals, for example, 5902964 + ... + 6075116.

Almost surely, 21031031203120 is an apocalyptic number.

1031031203120 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 1031031203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227159160656).

1031031203120 is an abundant number, since it is smaller than the sum of its proper divisors (1423287118192).

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

1031031203120 is a wasteful number, since it uses less digits than its factorization.

1031031203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173950 (or 173944 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1031031203120 its reverse (213021301301), we get a palindrome (1244052504421).

The spelling of 1031031203120 in words is "one trillion, thirty-one billion, thirty-one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 1741 3440 3482 6964 8705 13928 17410 27856 34820 69640 74863 139280 149726 172153 299452 344306 374315 598904 688612 748630 860765 1197808 1377224 1497260 1721530 2754448 2994520 3443060 5989040 6886120 7402579 13772240 14805158 29610316 37012895 59220632 74025790 118441264 148051580 296103160 299718373 592206320 599436746 1198873492 1498591865 2397746984 2997183730 4795493968 5994367460 11988734920 12887890039 23977469840 25775780078 51551560156 64439450195 103103120312 128878900390 206206240624 257757800780 515515601560 1031031203120