Search a number
-
+
2103311113233 = 3112192361217363
BaseRepresentation
bin11110100110110111000…
…111001001110000010001
321110002000100221011200020
4132212313013021300101
5233430040121110413
64250125304414053
7304650003322641
oct36466707116021
97402010834606
102103311113233
11741011321300
1229b776777329
131234590475c5
1473b2d580521
1539aa2c62c23
hex1e9b71c9c11

2103311113233 has 96 divisors (see below), whose sum is σ = 3441376404480. Its totient is φ = 1136194646400.

The previous prime is 2103311113223. The next prime is 2103311113247. The reversal of 2103311113233 is 3323111133012.

It is not a de Polignac number, because 2103311113233 - 24 = 2103311113217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2103311113223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9567810 + ... + 9785172.

It is an arithmetic number, because the mean of its divisors is an integer number (35847670880).

Almost surely, 22103311113233 is an apocalyptic number.

2103311113233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2103311113233 is a deficient number, since it is larger than the sum of its proper divisors (1338065291247).

2103311113233 is a wasteful number, since it uses less digits than its factorization.

2103311113233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217491 (or 217480 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 2103311113233 its reverse (3323111133012), we get a palindrome (5426422246245).

The spelling of 2103311113233 in words is "two trillion, one hundred three billion, three hundred eleven million, one hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 3 11 19 23 33 57 61 69 121 183 209 253 363 437 627 671 759 1159 1311 1403 2013 2299 2783 3477 4209 4807 6897 7381 8349 12749 14421 15433 22143 26657 38247 46299 52877 79971 140239 158631 169763 217363 293227 420717 509289 652089 879681 2390993 3225497 4129897 4999349 7172979 9676491 12389691 13259143 14998047 26300923 39777429 45428867 54992839 78902769 94987631 136286601 145850573 164978517 251923717 284962893 304960289 437551719 499717537 604921229 755771151 914880867 1044863941 1499152611 1604356303 1814763687 2771160887 3134591823 3354563179 4813068909 5794245491 8313482661 10063689537 11493503351 17382736473 30482769757 34480510053 36900194969 63736700401 91448309271 110700584907 191210101203 701103704411 2103311113233