Search a number
-
+
10312003013323 = 1123537310534739
BaseRepresentation
bin1001011000001111001101…
…0001101100101011001011
31100111211002012221112102111
42112003303101230223023
52322422440232411243
633533134020243151
72113006022243614
oct226036321545313
940454065845374
1010312003013323
11331632895a940
1211a6650b404b7
1359a55793537b
14279164434c0b
1512d38b26a39d
hex960f346cacb

10312003013323 has 32 divisors (see below), whose sum is σ = 12123884459520. Its totient is φ = 8677252995840.

The previous prime is 10312003013269. The next prime is 10312003013329. The reversal of 10312003013323 is 32331030021301.

10312003013323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10312003013323 - 29 = 10312003012811 is a prime.

It is a super-2 number, since 2×103120030133232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10312003013294 and 10312003013303.

It is not an unprimeable number, because it can be changed into a prime (10312003013329) 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, 4288513 + ... + 6246226.

It is an arithmetic number, because the mean of its divisors is an integer number (378871389360).

Almost surely, 210312003013323 is an apocalyptic number.

10312003013323 is a deficient number, since it is larger than the sum of its proper divisors (1811881446197).

10312003013323 is a wasteful number, since it uses less digits than its factorization.

10312003013323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10534899.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10312003013323 its reverse (32331030021301), we get a palindrome (42643033034624).

The spelling of 10312003013323 in words is "ten trillion, three hundred twelve billion, three million, thirteen thousand, three hundred twenty-three".

Divisors: 1 11 23 53 73 253 583 803 1219 1679 3869 13409 18469 42559 88987 978857 10534739 115882129 242298997 558341167 769035947 2665288967 6141752837 8459395417 12841846841 17687826781 40758905191 141260315251 194566094591 448347957101 937454819393 10312003013323