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1022400213 = 317371977
BaseRepresentation
bin111100111100001…
…001011011010101
32122020211022102120
4330330021123111
54043213301323
6245241330153
734223154432
oct7474113325
92566738376
101022400213
1148513345a
12246496959
13133a80c53
1499adcb89
155eb585e3
hex3cf096d5

1022400213 has 32 divisors (see below), whose sum is σ = 1470286080. Its totient is φ = 631823360.

The previous prime is 1022400187. The next prime is 1022400217. The reversal of 1022400213 is 3120042201.

It is not a de Polignac number, because 1022400213 - 29 = 1022399701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022400192 and 1022400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022400217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045981 + ... + 1046957.

It is an arithmetic number, because the mean of its divisors is an integer number (45946440).

Almost surely, 21022400213 is an apocalyptic number.

It is an amenable number.

1022400213 is a deficient number, since it is larger than the sum of its proper divisors (447885867).

1022400213 is an frugal number, since it uses more digits than its factorization.

1022400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1022400213 is about 31974.9935574661. The cubic root of 1022400213 is about 1007.4116691130.

Adding to 1022400213 its reverse (3120042201), we get a palindrome (4142442414).

The spelling of 1022400213 in words is "one billion, twenty-two million, four hundred thousand, two hundred thirteen".

Divisors: 1 3 17 51 71 213 289 867 977 1207 2931 3621 4913 14739 16609 20519 49827 61557 69367 208101 282353 348823 847059 1046469 1179239 3537717 4800001 14400003 20047063 60141189 340800071 1022400213