Search a number
-
+
103330783232 = 21331676073
BaseRepresentation
bin110000000111011111…
…1101010000000000000
3100212201022002122212122
41200032333222000000
53143110140030412
6115245225143412
710315430110535
oct1401677520000
9325638078778
10103330783232
113a905595916
121803932ab68
1399898ac3b1
145003570d8c
152a4b86d572
hex180efea000

103330783232 has 112 divisors (see below), whose sum is σ = 216534504192. Its totient is φ = 49244405760.

The previous prime is 103330783229. The next prime is 103330783261. The reversal of 103330783232 is 232387033301.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 103330783192 and 103330783201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17011748 + ... + 17017820.

Almost surely, 2103330783232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103330783232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108267252096).

103330783232 is an abundant number, since it is smaller than the sum of its proper divisors (113203720960).

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

103330783232 is an frugal number, since it uses more digits than its factorization.

103330783232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6197 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

The spelling of 103330783232 in words is "one hundred three billion, three hundred thirty million, seven hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 248 256 268 496 512 536 992 1024 1072 1984 2048 2077 2144 3968 4096 4154 4288 6073 7936 8192 8308 8576 12146 15872 16616 17152 24292 31744 33232 34304 48584 63488 66464 68608 97168 126976 132928 137216 188263 194336 253952 265856 274432 376526 388672 406891 531712 548864 753052 777344 813782 1063424 1506104 1554688 1627564 2126848 3012208 3109376 3255128 4253696 6024416 6218752 6510256 8507392 12048832 12437504 12613621 13020512 17014784 24097664 24875008 25227242 26041024 48195328 49750016 50454484 52082048 96390656 100908968 104164096 192781312 201817936 208328192 385562624 403635872 416656384 771125248 807271744 833312768 1542250496 1614543488 1666625536 3229086976 3333251072 6458173952 12916347904 25832695808 51665391616 103330783232