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803086103340 = 2232517377093147
BaseRepresentation
bin10111010111110111010…
…10010111001100101100
32211202220110012000220100
423223323222113030230
5101124210020301330
61412533242151100
7112010136150603
oct13537352271454
92752813160810
10803086103340
1128a650194924
1210b787ab2490
135a96644a321
142ac26182a3a
1515d541e3060
hexbafba9732c

803086103340 has 144 divisors (see below), whose sum is σ = 2649035424672. Its totient is φ = 196111300608.

The previous prime is 803086103333. The next prime is 803086103353. The reversal of 803086103340 is 43301680308.

It is a happy number.

803086103340 is a `hidden beast` number, since 8 + 0 + 3 + 0 + 8 + 610 + 3 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 803086103295 and 803086103304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3433354 + ... + 3659793.

It is an arithmetic number, because the mean of its divisors is an integer number (18396079338).

Almost surely, 2803086103340 is an apocalyptic number.

It is an amenable number.

803086103340 is an abundant number, since it is smaller than the sum of its proper divisors (1845949321332).

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

803086103340 is a wasteful number, since it uses less digits than its factorization.

803086103340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093216 (or 7093211 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 803086103340 its reverse (43301680308), we get a palindrome (846387783648).

The spelling of 803086103340 in words is "eight hundred three billion, eighty-six million, one hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 555 612 629 666 740 765 1020 1110 1258 1332 1530 1665 1887 2220 2516 3060 3145 3330 3774 5661 6290 6660 7548 9435 11322 12580 18870 22644 28305 37740 56610 113220 7093147 14186294 21279441 28372588 35465735 42558882 63838323 70931470 85117764 106397205 120583499 127676646 141862940 212794410 241166998 255353292 262446439 319191615 361750497 425588820 482333996 524892878 602917495 638383230 723500994 787339317 1049785756 1085251491 1205834990 1276766460 1312232195 1447001988 1574678634 1808752485 2170502982 2362017951 2411669980 2624464390 3149357268 3617504970 3936696585 4341005964 4461589463 4724035902 5248928780 5426257455 7235009940 7873393170 8923178926 9448071804 10852514910 11810089755 13384768389 15746786340 17846357852 21705029820 22307947315 23620179510 26769536778 40154305167 44615894630 47240359020 53539073556 66923841945 80308610334 89231789260 133847683890 160617220668 200771525835 267695367780 401543051670 803086103340