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220023331023213 = 3347772372244821
BaseRepresentation
bin110010000001110000101100…
…011111001110100101101101
31001212001000200020112100022000
4302001300230133032211231
5212314330240220220323
62055541153424242513
764226106152635314
oct6201605437164555
91055030606470260
10220023331023213
1164119409403453
1220815bb4470439
1395a015a0a24a3
143c492866db27b
151a684a2320e43
hexc81c2c7ce96d

220023331023213 has 32 divisors (see below), whose sum is σ = 332900278341120. Its totient is φ = 143559399706560.

The previous prime is 220023331023161. The next prime is 220023331023241. The reversal of 220023331023213 is 312320133320022.

220023331023213 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 2 + 3 + 331 + 0 + 2 + 321 + 3 = 666.

220023331023213 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 220023331023213 - 210 = 220023331022189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220023331023253) 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, 96891343 + ... + 99136163.

It is an arithmetic number, because the mean of its divisors is an integer number (10403133698160).

Almost surely, 2220023331023213 is an apocalyptic number.

It is an amenable number.

220023331023213 is a deficient number, since it is larger than the sum of its proper divisors (112876947317907).

220023331023213 is a wasteful number, since it uses less digits than its factorization.

220023331023213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322114 (or 2322108 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 220023331023213 its reverse (312320133320022), we get a palindrome (532343464343235).

The spelling of 220023331023213 in words is "two hundred twenty trillion, twenty-three billion, three hundred thirty-one million, twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 27 47 141 423 1269 77237 231711 695133 2085399 2244821 3630139 6734463 10890417 20203389 32671251 60610167 98013753 105506587 316519761 949559283 2848677849 173383239577 520149718731 1560449156193 4681347468579 8149012260119 24447036780357 73341110341071 220023331023213