Search a number
-
+
1023022332311 = 71311975663039
BaseRepresentation
bin11101110001100001110…
…00011111100110010111
310121210121012000002020112
432320300320133212113
5113230122204113221
62101545302553235
7133624306230260
oct16706070374627
93553535002215
101023022332311
11364952488a11
1214632813881b
1375616b76895
143772bca9967
151b9279d815b
hexee30e1f997

1023022332311 has 16 divisors (see below), whose sum is σ = 1184073707520. Its totient is φ = 865765249440.

The previous prime is 1023022332229. The next prime is 1023022332337. The reversal of 1023022332311 is 1132332203201.

It is a de Polignac number, because none of the positive numbers 2k-1023022332311 is a prime.

It is a super-2 number, since 2×10230223323112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023022332361) 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, 2650871 + ... + 3012168.

It is an arithmetic number, because the mean of its divisors is an integer number (74004606720).

Almost surely, 21023022332311 is an apocalyptic number.

1023022332311 is a deficient number, since it is larger than the sum of its proper divisors (161051375209).

1023022332311 is a wasteful number, since it uses less digits than its factorization.

1023022332311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663374.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1023022332311 its reverse (1132332203201), we get a palindrome (2155354535512).

The spelling of 1023022332311 in words is "one trillion, twenty-three billion, twenty-two million, three hundred thirty-two thousand, three hundred eleven".

Divisors: 1 7 131 197 917 1379 25807 180649 5663039 39641273 741858109 1115618683 5193006763 7809330781 146146047473 1023022332311