Search a number
-
+
12233013100203 = 373121976174987
BaseRepresentation
bin1011001000000011100001…
…1001100111111010101011
31121022110112201100001002210
42302000320121213322223
53100411202323201303
642003434005300203
72401543316462040
oct262007031477253
947273481301083
1012233013100203
113996a9aa87895
121456a0b404663
136a97503c407c
1430411c3611c7
1516331e79e203
hexb2038667eab

12233013100203 has 96 divisors (see below), whose sum is σ = 19394533458432. Its totient is φ = 6718205007360.

The previous prime is 12233013100177. The next prime is 12233013100211. The reversal of 12233013100203 is 30200131033221.

12233013100203 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12233013100203 - 216 = 12233013034667 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 12233013100203.

It is not an unprimeable number, because it can be changed into a prime (12233013100103) 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, 2452977876 + ... + 2452982862.

It is an arithmetic number, because the mean of its divisors is an integer number (202026390192).

Almost surely, 212233013100203 is an apocalyptic number.

12233013100203 is a deficient number, since it is larger than the sum of its proper divisors (7161520358229).

12233013100203 is a wasteful number, since it uses less digits than its factorization.

12233013100203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12233013100203 its reverse (30200131033221), we get a palindrome (42433144133424).

The spelling of 12233013100203 in words is "twelve trillion, two hundred thirty-three billion, thirteen million, one hundred thousand, two hundred three".

Divisors: 1 3 7 21 31 93 197 217 591 617 651 961 1379 1851 2883 4137 4319 4987 6107 6727 12957 14961 18321 19127 20181 34909 42749 57381 104727 121549 128247 133889 154597 189317 364647 401667 463791 567951 592937 850843 982439 1082179 1325219 1778811 2552529 2947317 3076979 3246537 3768019 3975657 4150559 4792507 6877073 9230937 11304057 12451677 14377521 20631219 21538853 26376133 30455609 33547549 64616559 79128399 91366827 95386349 100642647 116808589 213189263 286159047 350425767 606164863 639567789 667704443 817660123 944123879 1818494589 2003113329 2452980369 2832371637 2956976819 4243154041 6608867153 8870930457 12729462123 18791110753 19826601459 20698837733 56373332259 62096513199 131537775271 394613325813 582524433343 1747573300029 4077671033401 12233013100203