Search a number
-
+
101003203210311 = 3211222578134479
BaseRepresentation
bin10110111101110010100100…
…000011000110110001000111
3111020121210220220010220020200
4112331302210003012301013
5101214314030010212221
6554452121521101543
730163145350551663
oct2675624403066107
9436553826126220
10101003203210311
112a201244078416
12b3b31204878b3
13444873ac355ac
141ad281c83b8a3
15ba24d236a426
hex5bdca40c6c47

101003203210311 has 6 divisors (see below), whose sum is σ = 145893515748240. Its totient is φ = 67335468806868.

The previous prime is 101003203210309. The next prime is 101003203210313. The reversal of 101003203210311 is 113012302300101.

101003203210311 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 32 + 0 + 321 + 0 + 311 = 666.

It is an interprime number because it is at equal distance from previous prime (101003203210309) and next prime (101003203210313).

It is not a de Polignac number, because 101003203210311 - 21 = 101003203210309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003203210313) 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 5 ways as a sum of consecutive naturals, for example, 5611289067231 + ... + 5611289067248.

It is an arithmetic number, because the mean of its divisors is an integer number (24315585958040).

Almost surely, 2101003203210311 is an apocalyptic number.

101003203210311 is a deficient number, since it is larger than the sum of its proper divisors (44890312537929).

101003203210311 is a wasteful number, since it uses less digits than its factorization.

101003203210311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222578134485 (or 11222578134482 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101003203210311 its reverse (113012302300101), we get a palindrome (214015505510412).

The spelling of 101003203210311 in words is "one hundred one trillion, three billion, two hundred three million, two hundred ten thousand, three hundred eleven".

Divisors: 1 3 9 11222578134479 33667734403437 101003203210311