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10111321402133 = 7137173242325153
BaseRepresentation
bin1001001100100011100110…
…1110000110101100010101
31022210122002101002102011012
42103020321232012230111
52311130441234332013
633301024341022005
72062342653554150
oct223107156065425
938718071072135
1010111321402133
11324920736a106
1211737850b4905
13584655344a83
1426d567a04c97
151280430571a8
hex93239b86b15

10111321402133 has 32 divisors (see below), whose sum is σ = 11712726268416. Its totient is φ = 8549983346688.

The previous prime is 10111321402073. The next prime is 10111321402151. The reversal of 10111321402133 is 33120412311101.

It is a de Polignac number, because none of the positive numbers 2k-10111321402133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111321402099 and 10111321402108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111321402733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401980085 + ... + 402005237.

It is an arithmetic number, because the mean of its divisors is an integer number (366022695888).

Almost surely, 210111321402133 is an apocalyptic number.

It is an amenable number.

10111321402133 is a deficient number, since it is larger than the sum of its proper divisors (1601404866283).

10111321402133 is a wasteful number, since it uses less digits than its factorization.

10111321402133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27893.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10111321402133 its reverse (33120412311101), we get a palindrome (43231733713234).

The spelling of 10111321402133 in words is "ten trillion, one hundred eleven billion, three hundred twenty-one million, four hundred two thousand, one hundred thirty-three".

Divisors: 1 7 137 173 959 1211 2423 16961 23701 25153 165907 176071 331951 419179 2323657 2934253 3445961 4351469 24121727 30460283 57427523 60945719 401992661 426620033 596151253 4173058771 8349563503 10543609387 58446944521 73805265709 1444474486019 10111321402133