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10133012103123 = 37132331181134887
BaseRepresentation
bin1001001101110100011010…
…0101100011111111010011
31022212201002000222012011010
42103131012211203333103
52312004402044244443
633315012544022003
72064041325513360
oct223350645437723
938781060865133
1010133012103123
11325742818a878
121177a19301903
135867010914a0
14270624671467
151288b243b733
hex93746963fd3

10133012103123 has 64 divisors (see below), whose sum is σ = 16714164160512. Its totient is φ = 5317400355840.

The previous prime is 10133012103103. The next prime is 10133012103133. The reversal of 10133012103123 is 32130121033101.

It is a happy number.

It is not a de Polignac number, because 10133012103123 - 26 = 10133012103059 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10133012103123.

It is not an unprimeable number, because it can be changed into a prime (10133012103103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75054786 + ... + 75189672.

It is an arithmetic number, because the mean of its divisors is an integer number (261158815008).

Almost surely, 210133012103123 is an apocalyptic number.

10133012103123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10133012103123 is a deficient number, since it is larger than the sum of its proper divisors (6581152057389).

10133012103123 is a wasteful number, since it uses less digits than its factorization.

10133012103123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136324.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10133012103123 its reverse (32130121033101), we get a palindrome (42263133136224).

The spelling of 10133012103123 in words is "ten trillion, one hundred thirty-three billion, twelve million, one hundred three thousand, one hundred twenty-three".

Divisors: 1 3 7 13 21 39 91 233 273 699 1181 1631 3029 3543 4893 8267 9087 15353 21203 24801 46059 63609 107471 134887 275173 322413 404661 825519 944209 1753531 1926211 2832627 3577249 5260593 5778633 10731747 12274717 25040743 31428671 36824151 75122229 94286013 159301547 220000697 408572723 477904641 660002091 1115110829 1225718169 2070920111 2860009061 3345332487 6212760333 8580027183 14496440777 37117260451 43489322331 111351781353 259820823157 482524385863 779462469471 1447573157589 3377670701041 10133012103123