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103130023122 = 2347119376231
BaseRepresentation
bin110000000001100000…
…1110100010011010010
3100212012022022222210000
41200003001310103102
53142202241214442
6115213254150430
710310441506230
oct1400301642322
9325168288700
10103130023122
113a812233875
1217ba2052416
13995711a129
144dc4a31950
152a38e13d4c
hex18030744d2

103130023122 has 80 divisors (see below), whose sum is σ = 264325007232. Its totient is φ = 29440635840.

The previous prime is 103130023111. The next prime is 103130023123. The reversal of 103130023122 is 221320031301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103130023095 and 103130023104.

It is not an unprimeable number, because it can be changed into a prime (103130023123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1314747 + ... + 1390977.

Almost surely, 2103130023122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103130023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132162503616).

103130023122 is an abundant number, since it is smaller than the sum of its proper divisors (161194984110).

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

103130023122 is a wasteful number, since it uses less digits than its factorization.

103130023122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77445 (or 77436 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103130023122 its reverse (221320031301), we get a palindrome (324450054423).

The spelling of 103130023122 in words is "one hundred three billion, one hundred thirty million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1193 2386 3579 7158 8351 10737 16702 21474 25053 32211 50106 64422 75159 76231 96633 150318 152462 193266 225477 228693 450954 457386 533617 676431 686079 1067234 1352862 1372158 1600851 2058237 3201702 4116474 4802553 6174711 9605106 12349422 14407659 28815318 43222977 86445954 90943583 181887166 272830749 545661498 636605081 818492247 1273210162 1636984494 1909815243 2455476741 3819630486 4910953482 5729445729 7366430223 11458891458 14732860446 17188337187 34376674374 51565011561 103130023122