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103022000312 = 23711167243507
BaseRepresentation
bin101111111110010010…
…1101111100010111000
3100211220210001212100012
41133330211233202320
53141442113002222
6115154435001052
710304660361020
oct1377445574270
9324823055305
10103022000312
113a767262720
1217b71a39188
13993a9279ca
144db4552a80
152a2e6c71e2
hex17fc96f8b8

103022000312 has 32 divisors (see below), whose sum is σ = 240830651520. Its totient is φ = 40138441440.

The previous prime is 103022000309. The next prime is 103022000327. The reversal of 103022000312 is 213000220301.

It is a happy number.

It is a super-2 number, since 2×1030220003122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83621138 + ... + 83622369.

It is an arithmetic number, because the mean of its divisors is an integer number (7525957860).

Almost surely, 2103022000312 is an apocalyptic number.

It is an amenable number.

103022000312 is an abundant number, since it is smaller than the sum of its proper divisors (137808651208).

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

103022000312 is a wasteful number, since it uses less digits than its factorization.

103022000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167243531 (or 167243527 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103022000312 its reverse (213000220301), we get a palindrome (316022220613).

The spelling of 103022000312 in words is "one hundred three billion, twenty-two million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 167243507 334487014 668974028 1170704549 1337948056 1839678577 2341409098 3679357154 4682818196 7358714308 9365636392 12877750039 14717428616 25755500078 51511000156 103022000312