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1298128931000 = 235311307384403
BaseRepresentation
bin10010111000111110100…
…000111000100010111000
311121002200211121022002022
4102320332200320202320
5132232032001243000
62432204024054012
7162533562565616
oct22707640704270
94532624538068
101298128931000
11460595a37380
1218b704904308
139554a583115
1446b88c926b6
1523b79a2e585
hex12e3e8388b8

1298128931000 has 128 divisors (see below), whose sum is σ = 3324571810560. Its totient is φ = 470508048000.

The previous prime is 1298128930979. The next prime is 1298128931027. The reversal of 1298128931000 is 1398218921.

It is a happy number.

It is a super-2 number, since 2×12981289310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 3184799 + ... + 3569201.

It is an arithmetic number, because the mean of its divisors is an integer number (25973217270).

Almost surely, 21298128931000 is an apocalyptic number.

1298128931000 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 1298128931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662285905280).

1298128931000 is an abundant number, since it is smaller than the sum of its proper divisors (2026442879560).

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

1298128931000 is a wasteful number, since it uses less digits than its factorization.

1298128931000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384742 (or 384728 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 44.

The spelling of 1298128931000 in words is "one trillion, two hundred ninety-eight billion, one hundred twenty-eight million, nine hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 307 440 500 550 614 1000 1100 1228 1375 1535 2200 2456 2750 3070 3377 5500 6140 6754 7675 11000 12280 13508 15350 16885 27016 30700 33770 38375 61400 67540 76750 84425 135080 153500 168850 307000 337700 384403 422125 675400 768806 844250 1537612 1688500 1922015 3075224 3377000 3844030 4228433 7688060 8456866 9610075 15376120 16913732 19220150 21142165 33827464 38440300 42284330 48050375 76880600 84568660 96100750 105710825 118011721 169137320 192201500 211421650 236023442 384403000 422843300 472046884 528554125 590058605 845686600 944093768 1057108250 1180117210 1298128931 2114216500 2360234420 2596257862 2950293025 4228433000 4720468840 5192515724 5900586050 6490644655 10385031448 11801172100 12981289310 14751465125 23602344200 25962578620 29502930250 32453223275 51925157240 59005860500 64906446550 118011721000 129812893100 162266116375 259625786200 324532232750 649064465500 1298128931000