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1020311031320 = 2357171901112757
BaseRepresentation
bin11101101100011110100…
…01101100111000011000
310121112121020012201111022
432312033101230320120
5113204044111000240
62100420250222012
7133500154445540
oct16661721547030
93545536181438
101020311031320
11363790a83399
121458b0124908
13752a4234379
1437551b74320
151b81996e9b5
hexed8f46ce18

1020311031320 has 128 divisors (see below), whose sum is σ = 2779475679360. Its totient is φ = 329067110400.

The previous prime is 1020311031287. The next prime is 1020311031331. The reversal of 1020311031320 is 231301130201.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 8992382 + ... + 9105138.

It is an arithmetic number, because the mean of its divisors is an integer number (21714653745).

Almost surely, 21020311031320 is an apocalyptic number.

1020311031320 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 1020311031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389737839680).

1020311031320 is an abundant number, since it is smaller than the sum of its proper divisors (1759164648040).

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

1020311031320 is a wasteful number, since it uses less digits than its factorization.

1020311031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114693 (or 114689 counting only the distinct ones).

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

Adding to 1020311031320 its reverse (231301130201), we get a palindrome (1251612161521).

The spelling of 1020311031320 in words is "one trillion, twenty billion, three hundred eleven million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 1901 2380 3802 4760 7604 9505 13307 15208 19010 26614 32317 38020 53228 64634 66535 76040 106456 112757 129268 133070 161585 225514 226219 258536 266140 323170 451028 452438 532280 563785 646340 789299 902056 904876 1127570 1131095 1292680 1578598 1809752 1916869 2255140 2262190 3157196 3833738 3946495 4510280 4524380 6314392 7667476 7892990 9048760 9584345 13418083 15334952 15785980 19168690 26836166 31571960 38337380 53672332 67090415 76674760 107344664 134180830 214351057 268361660 428702114 536723320 857404228 1071755285 1500457399 1714808456 2143510570 3000914798 3643967969 4287021140 6001829596 7287935938 7502286995 8574042280 12003659192 14575871876 15004573990 18219839845 25507775783 29151743752 30009147980 36439679690 51015551566 60018295960 72879359380 102031103132 127538878915 145758718760 204062206264 255077757830 510155515660 1020311031320