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103023322122 = 23721973135683
BaseRepresentation
bin101111111110010101…
…0110010010000001010
3100211220212120000112010
41133330222302100022
53141442432301442
6115154523200350
710305004534500
oct1377452622012
9324825500463
10103023322122
113a767a85826
1217b723760b6
13993ac9b546
144db47b8670
152a2e888b9c
hex17fcab240a

103023322122 has 96 divisors (see below), whose sum is σ = 241715783232. Its totient is φ = 29187115776.

The previous prime is 103023322091. The next prime is 103023322153. The reversal of 103023322122 is 221223320301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103023322091) and next prime (103023322153).

It is a super-2 number, since 2×1030233221222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18125493 + ... + 18131175.

It is an arithmetic number, because the mean of its divisors is an integer number (2517872742).

Almost surely, 2103023322122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103023322122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120857891616).

103023322122 is an abundant number, since it is smaller than the sum of its proper divisors (138692461110).

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

103023322122 is a wasteful number, since it uses less digits than its factorization.

103023322122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103023322122 its reverse (221223320301), we get a palindrome (324246642423).

The spelling of 103023322122 in words is "one hundred three billion, twenty-three million, three hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 197 294 313 394 591 626 939 1182 1379 1878 2191 2758 4137 4382 5683 6573 8274 9653 11366 13146 15337 17049 19306 28959 30674 34098 39781 46011 57918 61661 79562 92022 119343 123322 184983 238686 278467 369966 431627 556934 835401 863254 1119551 1294881 1670802 1778779 2239102 2589762 3021389 3358653 3557558 5336337 6042778 6717306 7836857 9064167 10672674 12451453 15673714 18128334 23510571 24902906 37354359 47021142 54857999 74708718 87160171 109715998 164573997 174320342 261480513 329147994 350419463 522961026 700838926 1051258389 2102516778 2452936241 4905872482 7358808723 14717617446 17170553687 34341107374 51511661061 103023322122