Search a number
-
+
103331103000 = 2335334699929
BaseRepresentation
bin110000000111100000…
…0111000000100011000
3100212201022200220111220
41200033000320010120
53143110230244000
6115245240052040
710315432612026
oct1401700700430
9325638626456
10103331103000
113a905794094
1218039464020
139989991ac8
145003615716
152a4b8d31a0
hex180f038118

103331103000 has 128 divisors (see below), whose sum is σ = 322518456000. Its totient is φ = 27544243200.

The previous prime is 103331102999. The next prime is 103331103041. The reversal of 103331103000 is 301133301.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 10402036 + ... + 10411964.

Almost surely, 2103331103000 is an apocalyptic number.

103331103000 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 103331103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161259228000).

103331103000 is an abundant number, since it is smaller than the sum of its proper divisors (219187353000).

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

103331103000 is a wasteful number, since it uses less digits than its factorization.

103331103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13422 (or 13408 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 103331103000 its reverse (301133301), we get a palindrome (103632236301).

The spelling of 103331103000 in words is "one hundred three billion, three hundred thirty-one million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3469 6938 9929 10407 13876 17345 19858 20814 27752 29787 34690 39716 41628 49645 52035 59574 69380 79432 83256 86725 99290 104070 119148 138760 148935 173450 198580 208140 238296 248225 260175 297870 346900 397160 416280 433625 496450 520350 595740 693800 744675 867250 992900 1040700 1191480 1241125 1300875 1489350 1734500 1985800 2081400 2482250 2601750 2978700 3469000 3723375 4964500 5203500 5957400 7446750 9929000 10407000 14893500 29787000 34443701 68887402 103331103 137774804 172218505 206662206 275549608 344437010 413324412 516655515 688874020 826648824 861092525 1033311030 1377748040 1722185050 2066622060 2583277575 3444370100 4133244120 4305462625 5166555150 6888740200 8610925250 10333110300 12916387875 17221850500 20666220600 25832775750 34443701000 51665551500 103331103000