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101332032203103 = 31323135411180313
BaseRepresentation
bin10111000010100100110011…
…110010001010100101011111
3111021210020200112220111110120
4113002210303302022211133
5101240211000220444403
6555303143135410023
730225666136100112
oct2702446362124537
9437706615814416
10101332032203103
112a318745504699
12b4469b0683913
134470753646500
141b046d4684579
15baad2a942e53
hex5c2933c8a95f

101332032203103 has 48 divisors (see below), whose sum is σ = 147040704251424. Its totient is φ = 62043997317120.

The previous prime is 101332032203093. The next prime is 101332032203107. The reversal of 101332032203103 is 301302230233101.

101332032203103 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101332032203103 - 221 = 101332030105951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332032203107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85261675 + ... + 86441987.

It is an arithmetic number, because the mean of its divisors is an integer number (3063348005238).

Almost surely, 2101332032203103 is an apocalyptic number.

101332032203103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101332032203103 is a deficient number, since it is larger than the sum of its proper divisors (45708672048321).

101332032203103 is a wasteful number, since it uses less digits than its factorization.

101332032203103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181196 (or 1181183 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 101332032203103 its reverse (301302230233101), we get a palindrome (402634262436204).

The spelling of 101332032203103 in words is "one hundred one trillion, three hundred thirty-two billion, thirty-two million, two hundred three thousand, one hundred three".

Divisors: 1 3 13 39 169 313 507 541 939 1623 4069 7033 12207 21099 52897 91429 158691 169333 274287 507999 1180313 2201329 3540939 6603987 15344069 28617277 46032207 85851831 199472897 369437969 598418691 638549333 1108313907 1915647999 4802693597 8301141329 14408080791 24903423987 62435016761 107914837277 187305050283 199865941229 323744511831 599597823687 2598257235977 7794771707931 33777344067701 101332032203103