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32103122130123 = 31123674441142151
BaseRepresentation
bin1110100110010100101110…
…01100001101010011001011
311012200000202210000121001220
413103022113030031103023
513201434143231130443
6152135545401213123
76522242202501042
oct723122714152313
9135600683017056
1032103122130123
11a257948574570
1237259727911a3
1314bb408288c15
147cdb297b5559
153aa12115ba83
hex1d329730d4cb

32103122130123 has 64 divisors (see below), whose sum is σ = 49464419917824. Its totient is φ = 18328479840000.

The previous prime is 32103122130047. The next prime is 32103122130137.

32103122130123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32103122130123 - 217 = 32103121999051 is a prime.

It is a super-2 number, since 2×321031221301232 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32103122130093 and 32103122130102.

It is not an unprimeable number, because it can be changed into a prime (32103122130173) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 225767098 + ... + 225909248.

It is an arithmetic number, because the mean of its divisors is an integer number (772881561216).

Almost surely, 232103122130123 is an apocalyptic number.

32103122130123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32103122130123 is a deficient number, since it is larger than the sum of its proper divisors (17361297787701).

32103122130123 is a wasteful number, since it uses less digits than its factorization.

32103122130123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146696.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 3210312 and 2130123, that added together give a palindrome (5340435).

The spelling of 32103122130123 in words is "thirty-two trillion, one hundred three billion, one hundred twenty-two million, one hundred thirty thousand, one hundred twenty-three".

Divisors: 1 3 11 23 33 67 69 201 253 737 759 1541 2211 4441 4623 13323 16951 48851 50853 102143 142151 146553 297547 306429 426453 892641 1123573 1563661 3269473 3273017 3370719 4690983 6843581 9524117 9808419 9819051 20530743 28572351 35964203 75279391 104765287 107892609 219054691 225838173 314295861 631292591 657164073 1893877773 2409601601 6944218501 7228804803 14519729593 20832655503 42296603597 43559188779 126889810791 159717025523 465262639567 479151076569 972821882731 1395787918701 2918465648193 10701040710041 32103122130123