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1321114340 = 2257131017187
BaseRepresentation
bin100111010111110…
…1001101011100100
310102001220120011202
41032233221223210
510201201124330
6335032022032
744511200210
oct11657515344
93361816152
101321114340
11618809837
1230a531918
1318091b680
14c7659940
157aeb1445
hex4ebe9ae4

1321114340 has 96 divisors (see below), whose sum is σ = 3448859904. Its totient is φ = 413913600.

The previous prime is 1321114313. The next prime is 1321114367. The reversal of 1321114340 is 434111231.

It is an interprime number because it is at equal distance from previous prime (1321114313) and next prime (1321114367).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180227 + ... + 187413.

It is an arithmetic number, because the mean of its divisors is an integer number (35925624).

Almost surely, 21321114340 is an apocalyptic number.

1321114340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724429952).

1321114340 is an abundant number, since it is smaller than the sum of its proper divisors (2127745564).

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

1321114340 is a wasteful number, since it uses less digits than its factorization.

1321114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7317 (or 7315 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1321114340 is about 36347.1366134941. The cubic root of 1321114340 is about 1097.2699074687.

Adding to 1321114340 its reverse (434111231), we get a palindrome (1755225571).

The spelling of 1321114340 in words is "one billion, three hundred twenty-one million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 101 130 140 182 202 260 364 404 455 505 707 910 1010 1313 1414 1820 2020 2626 2828 3535 5252 6565 7070 7187 9191 13130 14140 14374 18382 26260 28748 35935 36764 45955 50309 71870 91910 93431 100618 143740 183820 186862 201236 251545 373724 467155 503090 654017 725887 934310 1006180 1308034 1451774 1868620 2616068 2903548 3270085 3629435 5081209 6540170 7258870 9436531 10162418 13080340 14517740 18873062 20324836 25406045 37746124 47182655 50812090 66055717 94365310 101624180 132111434 188730620 264222868 330278585 660557170 1321114340