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1223141007 = 3111710121587
BaseRepresentation
bin100100011100111…
…1010011010001111
310011020120000000210
41020321322122033
510001111003012
6321212053503
742211345524
oct11071723217
93136500023
101223141007
11578481a40
122a1764293
1316653749a
14b863514b
15725ac23c
hex48e7a68f

1223141007 has 32 divisors (see below), whose sum is σ = 1902507264. Its totient is φ = 690752000.

The previous prime is 1223140981. The next prime is 1223141009. The reversal of 1223141007 is 7001413221.

It is a cyclic number.

It is not a de Polignac number, because 1223141007 - 212 = 1223136911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223141009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45868 + ... + 67454.

It is an arithmetic number, because the mean of its divisors is an integer number (59453352).

Almost surely, 21223141007 is an apocalyptic number.

1223141007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1223141007 is a deficient number, since it is larger than the sum of its proper divisors (679366257).

1223141007 is a wasteful number, since it uses less digits than its factorization.

1223141007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21719.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1223141007 is about 34973.4328741117. The cubic root of 1223141007 is about 1069.4459550499.

Adding to 1223141007 its reverse (7001413221), we get a palindrome (8224554228).

It can be divided in two parts, 122314 and 1007, that added together give a palindrome (123321).

The spelling of 1223141007 in words is "one billion, two hundred twenty-three million, one hundred forty-one thousand, seven".

Divisors: 1 3 11 17 33 51 101 187 303 561 1111 1717 3333 5151 18887 21587 56661 64761 237457 366979 712371 1100937 2180287 4036769 6540861 12110307 23983157 37064879 71949471 111194637 407713669 1223141007