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101131332003 = 361324144279
BaseRepresentation
bin101111000101111100…
…1011010100110100011
3100200001000102222000000
41132023321122212203
53124104110111003
6114243055231043
710210062065352
oct1361371324643
9320030388000
10101131332003
1139987000629
1217724818483
1396c9010770
144c753d7999
15296d70e1a3
hex178be5a9a3

101131332003 has 56 divisors (see below), whose sum is σ = 163972559520. Its totient is φ = 61975031040.

The previous prime is 101131331999. The next prime is 101131332047. The reversal of 101131332003 is 300233131101.

It is a happy number.

It is not a de Polignac number, because 101131332003 - 22 = 101131331999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101131332103) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2261818 + ... + 2306096.

It is an arithmetic number, because the mean of its divisors is an integer number (2928081420).

Almost surely, 2101131332003 is an apocalyptic number.

101131332003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101131332003 is a deficient number, since it is larger than the sum of its proper divisors (62841227517).

101131332003 is an equidigital number, since it uses as much as digits as its factorization.

101131332003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44551 (or 44536 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101131332003 its reverse (300233131101), we get a palindrome (401364463104).

The spelling of 101131332003 in words is "one hundred one billion, one hundred thirty-one million, three hundred thirty-two thousand, three".

Divisors: 1 3 9 13 27 39 81 117 241 243 351 723 729 1053 2169 3133 3159 6507 9399 9477 19521 28197 44279 58563 84591 132837 175689 253773 398511 575627 761319 1195533 1726881 2283957 3586599 5180643 10671239 10759797 15541929 32013717 32279391 46625787 96041151 138726107 139877361 288123453 416178321 419632083 864370359 1248534963 2593111077 3745604889 7779333231 11236814667 33710444001 101131332003