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1300220133233 = 717317117927733
BaseRepresentation
bin10010111010111011001…
…010001011111101110001
311121022002120120101020212
4102322323022023331301
5132300322323230413
62433151325513505
7162636444531260
oct22727312137561
94538076511225
101300220133233
1146146940658a
1218bba9112895
13957c18b06a8
1446d068cc5d7
1523c4d409ca8
hex12ebb28bf71

1300220133233 has 64 divisors (see below), whose sum is σ = 1656265605120. Its totient is φ = 995157273600.

The previous prime is 1300220133193. The next prime is 1300220133269. The reversal of 1300220133233 is 3323310220031.

It is not a de Polignac number, because 1300220133233 - 26 = 1300220133169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1300220133199 and 1300220133208.

It is not an unprimeable number, because it can be changed into a prime (1300220133133) 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, 46869635 + ... + 46897367.

It is an arithmetic number, because the mean of its divisors is an integer number (25879150080).

Almost surely, 21300220133233 is an apocalyptic number.

It is an amenable number.

1300220133233 is a deficient number, since it is larger than the sum of its proper divisors (356045471887).

1300220133233 is a wasteful number, since it uses less digits than its factorization.

1300220133233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28038.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 1300220133233 its reverse (3323310220031), we get a palindrome (4623530353264).

The spelling of 1300220133233 in words is "one trillion, three hundred billion, two hundred twenty million, one hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 7 17 31 71 119 179 217 497 527 1207 1253 2201 3043 3689 5549 8449 12709 15407 21301 27733 37417 38843 88963 94333 194131 216053 261919 393979 471461 660331 859723 1512371 1969043 2757853 3300227 4964207 6018061 6697643 13783301 14615291 33473731 34749449 46883501 61040333 84391519 102307037 153890417 234316117 352458697 427282331 590740633 1037685661 1077232919 2467210879 2616137089 5991797849 7263799627 10926219607 18312959623 41942584943 76483537249 185745733319 1300220133233