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1021343114320 = 245294711382891
BaseRepresentation
bin11101101110011001100…
…10110010010001010000
310121122021011020222012121
432313030302302101100
5113213202314124240
62101110515304024
7133534556142064
oct16671462622120
93548234228177
101021343114320
1136417061a651
12145b398ab014
1375409cc5679
143760cc73aa4
151b87a38c04a
hexedcccb2450

1021343114320 has 160 divisors (see below), whose sum is σ = 2531004433920. Its totient is φ = 382636154880.

The previous prime is 1021343114317. The next prime is 1021343114321. The reversal of 1021343114320 is 234113431201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021343114321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12280075 + ... + 12362965.

It is an arithmetic number, because the mean of its divisors is an integer number (15818777712).

Almost surely, 21021343114320 is an apocalyptic number.

1021343114320 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 1021343114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265502216960).

1021343114320 is an abundant number, since it is smaller than the sum of its proper divisors (1509661319600).

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

1021343114320 is a wasteful number, since it uses less digits than its factorization.

1021343114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83093 (or 83087 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1021343114320 its reverse (234113431201), we get a palindrome (1255456545521).

The spelling of 1021343114320 in words is "one trillion, twenty-one billion, three hundred forty-three million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 47 58 80 94 113 116 145 188 226 232 235 290 376 452 464 470 565 580 752 904 940 1130 1160 1363 1808 1880 2260 2320 2726 3277 3760 4520 5311 5452 6554 6815 9040 10622 10904 13108 13630 16385 21244 21808 26216 26555 27260 32770 42488 52432 53110 54520 65540 82891 84976 106220 109040 131080 154019 165782 212440 262160 308038 331564 414455 424880 616076 663128 770095 828910 1232152 1326256 1540190 1657820 2403839 2464304 3080380 3315640 3895877 4807678 6160760 6631280 7791754 9366683 9615356 12019195 12321520 15583508 18733366 19230712 19479385 24038390 31167016 37466732 38461424 38958770 46833415 48076780 62334032 74933464 77917540 93666830 96153560 112980433 149866928 155835080 187333660 192307120 225960866 271633807 311670160 374667320 440234101 451921732 543267614 564902165 749334640 880468202 903843464 1086535228 1129804330 1358169035 1760936404 1807686928 2173070456 2201170505 2259608660 2716338070 3521872808 4346140912 4402341010 4519217320 5432676140 7043745616 8804682020 9038434640 10865352280 12766788929 17609364040 21730704560 25533577858 35218728080 51067155716 63833944645 102134311432 127667889290 204268622864 255335778580 510671557160 1021343114320