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103313121222233 = 131973211148318311
BaseRepresentation
bin10111011111011001110101…
…111001000001111001011001
3111112210122020001101222120202
4113133121311321001321121
5102020140233013102413
61003421220452431545
730522061311651146
oct2737316571017131
9445718201358522
10103313121222233
112aa1193762066a
12b7069373185b5
13458550200a770
141b7254b72d3cd
15be26285bbe58
hex5df675e41e59

103313121222233 has 64 divisors (see below), whose sum is σ = 119370027141120. Its totient is φ = 88622110886400.

The previous prime is 103313121222217. The next prime is 103313121222307. The reversal of 103313121222233 is 332222121313301.

It is not a de Polignac number, because 103313121222233 - 24 = 103313121222217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103313121222196 and 103313121222205.

It is not an unprimeable number, because it can be changed into a prime (103313121227233) 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, 5642125148 + ... + 5642143458.

It is an arithmetic number, because the mean of its divisors is an integer number (1865156674080).

Almost surely, 2103313121222233 is an apocalyptic number.

103313121222233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103313121222233 is a deficient number, since it is larger than the sum of its proper divisors (16056905918887).

103313121222233 is a wasteful number, since it uses less digits than its factorization.

103313121222233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20110.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 103313121222233 its reverse (332222121313301), we get a palindrome (435535242535534).

The spelling of 103313121222233 in words is "one hundred three trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 13 19 73 211 247 949 1387 1483 2743 4009 15403 18031 18311 19279 28177 52117 108259 200239 238043 292657 312913 347909 366301 1336703 1407367 2056921 3804541 3863621 4067869 4522817 5945347 17377139 22842649 25397357 26739973 27155213 50227073 73408799 77289511 282044333 296954437 330165641 353017769 434010331 515949047 954314387 1982330549 3666576329 5358842327 5642134303 5729749943 6707337611 25770297137 37664280431 69664950251 74486749259 108865248917 418271745839 489635645603 1415248235921 5437532695907 7947163170941 103313121222233