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1321000141340 = 2251126721793739
BaseRepresentation
bin10011001110010001101…
…111101000001000011100
311200021201202211011110202
4103032101233220020130
5133120402014010330
62450505321323032
7164303420635265
oct23162157501034
94607652734422
101321000141340
1146a262161200
12194028336478
1397753a5b689
1447d1861796c
152456789e445
hex13391be821c

1321000141340 has 144 divisors (see below), whose sum is σ = 3096976713600. Its totient is φ = 472850421120.

The previous prime is 1321000141337. The next prime is 1321000141361. The reversal of 1321000141340 is 431410001231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 353301191 + ... + 353304929.

Almost surely, 21321000141340 is an apocalyptic number.

1321000141340 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 1321000141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548488356800).

1321000141340 is an abundant number, since it is smaller than the sum of its proper divisors (1775976572260).

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

1321000141340 is a wasteful number, since it uses less digits than its factorization.

1321000141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 6003 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1321000141340 its reverse (431410001231), we get a palindrome (1752410142571).

The spelling of 1321000141340 in words is "one trillion, three hundred twenty-one billion, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 121 134 220 242 268 335 484 605 670 737 1210 1340 1474 2179 2420 2948 3685 3739 4358 7370 7478 8107 8716 10895 14740 14956 16214 18695 21790 23969 32428 37390 40535 41129 43580 47938 74780 81070 82258 95876 119845 145993 162140 164516 205645 239690 250513 263659 291986 411290 452419 479380 501026 527318 583972 729965 822580 904838 1002052 1054636 1252565 1318295 1459930 1605923 1809676 2262095 2505130 2636590 2755643 2919860 3211846 4524190 5010260 5273180 5511286 6423692 8029615 8147281 9048380 11022572 13778215 16059230 16294562 17665153 27556430 30312073 32118460 32589124 35330306 40736405 55112860 60624146 70660612 81472810 88325765 89620091 121248292 151560365 162945620 176651530 179240182 303120730 353303060 358480364 448100455 545867827 606241460 896200910 985821001 1091735654 1792401820 1971642002 2183471308 2729339135 3943284004 4929105005 5458678270 6004546097 9858210010 10917356540 12009092194 19716420020 24018184388 30022730485 60045460970 66050007067 120090921940 132100014134 264200028268 330250035335 660500070670 1321000141340