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1011211131133 = 71072821947843
BaseRepresentation
bin11101011011100001110…
…00010101100011111101
310120200010001010220012001
432231300320111203331
5113031430022144013
62052313255542301
7133025516536360
oct16556070254375
93520101126161
101011211131133
1135a941359725
12143b9068a991
1374483b76b48
1436d2b3960d7
151b485b0cddd
hexeb70e158fd

1011211131133 has 16 divisors (see below), whose sum is σ = 1166536235520. Its totient is φ = 858603533616.

The previous prime is 1011211131109. The next prime is 1011211131157. The reversal of 1011211131133 is 3311311121101.

It is an interprime number because it is at equal distance from previous prime (1011211131109) and next prime (1011211131157).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011211131133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011211131133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011211131193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21112110 + ... + 21159952.

It is an arithmetic number, because the mean of its divisors is an integer number (72908514720).

Almost surely, 21011211131133 is an apocalyptic number.

It is an amenable number.

1011211131133 is a deficient number, since it is larger than the sum of its proper divisors (155325104387).

1011211131133 is a wasteful number, since it uses less digits than its factorization.

1011211131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76176.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 1011211131133 its reverse (3311311121101), we get a palindrome (4322522252234).

The spelling of 1011211131133 in words is "one trillion, eleven billion, two hundred eleven million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 107 749 28219 47843 197533 334901 3019433 5119201 21136031 35834407 1350081617 9450571319 144458733019 1011211131133