Search a number
-
+
103030313312 = 251011031731789
BaseRepresentation
bin101111111110100010…
…1011101000101100000
3100211221100201012122002
41133331011131011200
53142001230011222
6115155333103132
710305121133123
oct1377505350540
9324840635562
10103030313312
113a770a20373
1217b74787aa8
13993c578744
144db56b83ba
152a302ba392
hex17fd15d160

103030313312 has 96 divisors (see below), whose sum is σ = 208149963840. Its totient is φ = 50189875200.

The previous prime is 103030313279. The next prime is 103030313341. The reversal of 103030313312 is 213313030301.

103030313312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030303133122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57590114 + ... + 57591902.

It is an arithmetic number, because the mean of its divisors is an integer number (2168228790).

Almost surely, 2103030313312 is an apocalyptic number.

It is an amenable number.

103030313312 is an abundant number, since it is smaller than the sum of its proper divisors (105119650528).

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

103030313312 is a wasteful number, since it uses less digits than its factorization.

103030313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 103030313312 its reverse (213313030301), we get a palindrome (316343343613).

The spelling of 103030313312 in words is "one hundred three billion, thirty million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 101 103 173 202 206 346 404 412 692 808 824 1384 1616 1648 1789 2768 3232 3296 3578 5536 7156 10403 14312 17473 17819 20806 28624 34946 35638 41612 57248 69892 71276 83224 139784 142552 166448 180689 184267 279568 285104 309497 332896 361378 368534 559136 570208 618994 722756 737068 1237988 1445512 1474136 1799719 2475976 2891024 2948272 3599438 4951952 5782048 5896544 7198876 9903904 14397752 18610967 28795504 31259197 31878191 37221934 57591008 62518394 63756382 74443868 125036788 127512764 148887736 250073576 255025528 297775472 500147152 510051056 595550944 1000294304 1020102112 3219697291 6439394582 12878789164 25757578328 51515156656 103030313312