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1022313213 = 3261101103179
BaseRepresentation
bin111100111011110…
…100001011111101
32122020122220002100
4330323310023331
54043203010323
6245235415313
734222342665
oct7473641375
92566586070
101022313213
11485084059
12246454539
13133a5047c
1499ab91a5
155eb3c943
hex3cef42fd

1022313213 has 48 divisors (see below), whose sum is σ = 1539008640. Its totient is φ = 653616000.

The previous prime is 1022313209. The next prime is 1022313217. The reversal of 1022313213 is 3123132201.

It is an interprime number because it is at equal distance from previous prime (1022313209) and next prime (1022313217).

It is not a de Polignac number, because 1022313213 - 22 = 1022313209 is a prime.

It is a super-3 number, since 3×10223132133 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022313217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5711158 + ... + 5711336.

It is an arithmetic number, because the mean of its divisors is an integer number (32062680).

Almost surely, 21022313213 is an apocalyptic number.

It is an amenable number.

1022313213 is a deficient number, since it is larger than the sum of its proper divisors (516695427).

1022313213 is a wasteful number, since it uses less digits than its factorization.

1022313213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1022313213 is about 31973.6330904075. The cubic root of 1022313213 is about 1007.3830934468.

Adding to 1022313213 its reverse (3123132201), we get a palindrome (4145445414).

It can be divided in two parts, 10223 and 13213, that added together give a triangular number (23436 = T216).

The spelling of 1022313213 in words is "one billion, twenty-two million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 61 101 103 179 183 303 309 537 549 909 927 1611 6161 6283 10403 10919 18079 18437 18483 18849 31209 32757 54237 55311 55449 56547 93627 98271 162711 165933 634583 1102819 1124657 1862137 1903749 3308457 3373971 5586411 5711247 9925371 10121913 16759233 113590357 340771071 1022313213