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1022013133323 = 37135963451489
BaseRepresentation
bin11101101111101001011…
…10101101001000001011
310121200222212000110111020
432313310232231020023
5113221040330231243
62101301212203523
7133560303204210
oct16676456551013
93550885013436
101022013133323
11364484851866
121460a61695a3
13754b5a68610
1437673c45b07
151b8b90db283
hexedf4bad20b

1022013133323 has 32 divisors (see below), whose sum is σ = 1705576051200. Its totient is φ = 529946827776.

The previous prime is 1022013133303. The next prime is 1022013133333. The reversal of 1022013133323 is 3233313102201.

It is not a de Polignac number, because 1022013133323 - 222 = 1022008939019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022013133293 and 1022013133302.

It is not an unprimeable number, because it can be changed into a prime (1022013133303) 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 31 ways as a sum of consecutive naturals, for example, 31709638 + ... + 31741851.

It is an arithmetic number, because the mean of its divisors is an integer number (53299251600).

Almost surely, 21022013133323 is an apocalyptic number.

1022013133323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1022013133323 is a deficient number, since it is larger than the sum of its proper divisors (683562917877).

1022013133323 is a wasteful number, since it uses less digits than its factorization.

1022013133323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63451571.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1022013133323 its reverse (3233313102201), we get a palindrome (4255326235524).

The spelling of 1022013133323 in words is "one trillion, twenty-two billion, thirteen million, one hundred thirty-three thousand, three hundred twenty-three".

Divisors: 1 3 7 13 21 39 59 91 177 273 413 767 1239 2301 5369 16107 63451489 190354467 444160423 824869357 1332481269 2474608071 3743637851 5774085499 11230913553 17322256497 26205464957 48667292063 78616394871 146001876189 340671044441 1022013133323