Search a number
-
+
103323101100312 = 23319401535643059
BaseRepresentation
bin10111011111100011001000…
…101111001111100100011000
3111112211120222120022022121210
4113133203020233033210120
5102020321202340202222
61003425551040103120
730522563523345462
oct2737431057174430
9445746876268553
10103323101100312
112aa16098a41795
12b708861604aa0
1345864327a1172
141b72c16d35132
15be2a0e802d0c
hex5df8c8bcf918

103323101100312 has 64 divisors (see below), whose sum is σ = 271909717488000. Its totient is φ = 32627529333504.

The previous prime is 103323101100251. The next prime is 103323101100319. The reversal of 103323101100312 is 213001101323301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103323101100319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15488239 + ... + 21131297.

It is an arithmetic number, because the mean of its divisors is an integer number (4248589335750).

Almost surely, 2103323101100312 is an apocalyptic number.

103323101100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103323101100312 is an abundant number, since it is smaller than the sum of its proper divisors (168586616387688).

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

103323101100312 is a wasteful number, since it uses less digits than its factorization.

103323101100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683240 (or 5683236 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103323101100312 its reverse (213001101323301), we get a palindrome (316324202423613).

The spelling of 103323101100312 in words is "one hundred three trillion, three hundred twenty-three billion, one hundred one million, one hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 40153 80306 120459 160612 240918 321224 481836 762907 963672 1525814 2288721 3051628 4577442 5643059 6103256 9154884 11286118 16929177 18309768 22572236 33858354 45144472 67716708 107218121 135433416 214436242 321654363 428872484 643308726 857744968 1286617452 2573234904 226585748027 453171496054 679757244081 906342992108 1359514488162 1812685984216 2719028976324 4305129212513 5438057952648 8610258425026 12915387637539 17220516850052 25830775275078 34441033700104 51661550550156 103323101100312