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1320313122 = 234671031181
BaseRepresentation
bin100111010110010…
…0110000100100010
310102000101212010000
41032230212010202
510201000004442
6335002520430
744501322252
oct11654460442
93360355100
101320313122
11618311877
1230a206116
131806caa8b
14c74cb962
157ada3d4c
hex4eb26122

1320313122 has 80 divisors (see below), whose sum is σ = 3034354752. Its totient is φ = 428963040.

The previous prime is 1320313103. The next prime is 1320313123. The reversal of 1320313122 is 2213130231.

1320313122 is a `hidden beast` number, since 1 + 320 + 31 + 312 + 2 = 666.

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 = 1320313095 and 1320313104.

It is not an unprimeable number, because it can be changed into a prime (1320313123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1117372 + ... + 1118552.

Almost surely, 21320313122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517177376).

1320313122 is an abundant number, since it is smaller than the sum of its proper divisors (1714041630).

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

1320313122 is a wasteful number, since it uses less digits than its factorization.

1320313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1356 counting only the distinct ones).

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

The square root of 1320313122 is about 36336.1131933508. The cubic root of 1320313122 is about 1097.0480416894.

Adding to 1320313122 its reverse (2213130231), we get a palindrome (3533443353).

The spelling of 1320313122 in words is "one billion, three hundred twenty million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 67 81 103 134 162 201 206 309 402 603 618 927 1181 1206 1809 1854 2362 2781 3543 3618 5427 5562 6901 7086 8343 10629 10854 13802 16686 20703 21258 31887 41406 62109 63774 79127 95661 121643 124218 158254 186327 191322 237381 243286 364929 372654 474762 558981 712143 729858 1094787 1117962 1424286 2136429 2189574 3284361 4272858 6409287 6568722 8150081 9853083 12818574 16300162 19706166 24450243 48900486 73350729 146701458 220052187 440104374 660156561 1320313122