Search a number
-
+
103022311212 = 22335967241313
BaseRepresentation
bin101111111110010011…
…0111011011100101100
3100211220210122122211000
41133330212323130230
53141442202424322
6115154445400300
710304663124312
oct1377446733454
9324823578730
10103022311212
113a767455267
1217b71b69090
13993aa06382
144db45d40b2
152a2e7393ac
hex17fc9bb72c

103022311212 has 96 divisors (see below), whose sum is σ = 275677113600. Its totient is φ = 33254724096.

The previous prime is 103022311163. The next prime is 103022311219. The reversal of 103022311212 is 212113220301.

103022311212 is a `hidden beast` number, since 10 + 302 + 231 + 121 + 2 = 666.

It is a super-2 number, since 2×1030223112122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103022311219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306268 + ... + 547580.

It is an arithmetic number, because the mean of its divisors is an integer number (2871636600).

Almost surely, 2103022311212 is an apocalyptic number.

103022311212 is a gapful number since it is divisible by the number (12) 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 103022311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137838556800).

103022311212 is an abundant number, since it is smaller than the sum of its proper divisors (172654802388).

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

103022311212 is a wasteful number, since it uses less digits than its factorization.

103022311212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241452 (or 241444 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103022311212 its reverse (212113220301), we get a palindrome (315135531513).

The spelling of 103022311212 in words is "one hundred three billion, twenty-two million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 67 108 118 134 177 201 236 268 354 402 531 603 708 804 1062 1206 1593 1809 2124 2412 3186 3618 3953 6372 7236 7906 11859 15812 23718 35577 47436 71154 106731 142308 213462 241313 426924 482626 723939 965252 1447878 2171817 2895756 4343634 6515451 8687268 13030902 14237467 16167971 26061804 28474934 32335942 42712401 48503913 56949868 64671884 85424802 97007826 128137203 145511739 170849604 194015652 256274406 291023478 384411609 436535217 512548812 582046956 768823218 873070434 953910289 1537646436 1746140868 1907820578 2861730867 3815641156 5723461734 8585192601 11446923468 17170385202 25755577803 34340770404 51511155606 103022311212