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1014131322 = 2321272711637
BaseRepresentation
bin111100011100100…
…110101001111010
32121200021012122100
4330130212221322
54034104200242
6244344204230
734062655041
oct7434465172
92550235570
101014131322
114804a5966
12243769676
13132147309
1498989558
155e07354c
hex3c726a7a

1014131322 has 48 divisors (see below), whose sum is σ = 2224115712. Its totient is φ = 333940320.

The previous prime is 1014131317. The next prime is 1014131347. The reversal of 1014131322 is 2231314101.

It is a super-2 number, since 2×10141313222 = 2056924676522935368, which contains 22 as substring.

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 = 1014131295 and 1014131304.

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, 618688 + ... + 620324.

It is an arithmetic number, because the mean of its divisors is an integer number (46335744).

Almost surely, 21014131322 is an apocalyptic number.

1014131322 is an abundant number, since it is smaller than the sum of its proper divisors (1209984390).

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

1014131322 is a wasteful number, since it uses less digits than its factorization.

1014131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1014131322 is about 31845.4285887315. The cubic root of 1014131322 is about 1004.6884249852.

Adding to 1014131322 its reverse (2231314101), we get a palindrome (3245445423).

The spelling of 1014131322 in words is "one billion, fourteen million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 127 254 271 381 542 762 813 1143 1626 1637 2286 2439 3274 4878 4911 9822 14733 29466 34417 68834 103251 206502 207899 309753 415798 443627 619506 623697 887254 1247394 1330881 1871091 2661762 3742182 3992643 7985286 56340629 112681258 169021887 338043774 507065661 1014131322