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103022012132 = 22132131392957
BaseRepresentation
bin101111111110010010…
…1110010011011100100
3100211220210002110112222
41133330211302123210
53141442113342012
6115154435131512
710304660440334
oct1377445623344
9324823073488
10103022012132
113a767270596
1217b71a43b98
13993a9301c0
144db45570c4
152a2e6ca972
hex17fc9726e4

103022012132 has 24 divisors (see below), whose sum is σ = 194168067576. Its totient is φ = 47545878528.

The previous prime is 103022012111. The next prime is 103022012147. The reversal of 103022012132 is 231210220301.

It can be written as a sum of positive squares in 4 ways, for example, as 195328576 + 102826683556 = 13976^2 + 320666^2 .

It is a super-3 number, since 3×1030220121323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103022012132.

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, 1061798 + ... + 1154754.

It is an arithmetic number, because the mean of its divisors is an integer number (8090336149).

Almost surely, 2103022012132 is an apocalyptic number.

It is an amenable number.

103022012132 is a deficient number, since it is larger than the sum of its proper divisors (91146055444).

103022012132 is a wasteful number, since it uses less digits than its factorization.

103022012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114287 (or 114285 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103022012132 its reverse (231210220301), we get a palindrome (334232232433).

The spelling of 103022012132 in words is "one hundred three billion, twenty-two million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 52 21313 42626 85252 92957 185914 277069 371828 554138 1108276 1208441 2416882 4833764 1981192541 3962385082 7924770164 25755503033 51511006066 103022012132