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1302313122 = 2321131121149
BaseRepresentation
bin100110110011111…
…1011100010100010
310100202112100202100
41031213323202202
510131343004442
6333121031230
744162323155
oct11547734242
93322470670
101302313122
11609138140
12304185516
13179a67aa6
14c4d63c9c
15794ea84c
hex4d9fb8a2

1302313122 has 48 divisors (see below), whose sum is σ = 3088238400. Its totient is φ = 393352800.

The previous prime is 1302313091. The next prime is 1302313139. The reversal of 1302313122 is 2213132031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1302313095 and 1302313104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51004 + ... + 72152.

It is an arithmetic number, because the mean of its divisors is an integer number (64338300).

Almost surely, 21302313122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1302313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544119200).

1302313122 is an abundant number, since it is smaller than the sum of its proper divisors (1785925278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1302313122 is a wasteful number, since it uses less digits than its factorization.

1302313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21479 (or 21476 counting only the distinct ones).

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

The square root of 1302313122 is about 36087.5757290511. The cubic root of 1302313122 is about 1092.0398135868.

Adding to 1302313122 its reverse (2213132031), we get a palindrome (3515445153).

The spelling of 1302313122 in words is "one billion, three hundred two million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 311 622 933 1866 2799 3421 5598 6842 10263 20526 21149 30789 42298 61578 63447 126894 190341 232639 380682 465278 697917 1395834 2093751 4187502 6577339 13154678 19732017 39464034 59196051 72350729 118392102 144701458 217052187 434104374 651156561 1302313122