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1321131312 = 243243213361
BaseRepresentation
bin100111010111110…
…1101110100110000
310102001221102110100
41032233231310300
510201202200222
6335032232400
744511300534
oct11657556460
93361842410
101321131312
11618820566
1230a53b700
13180926307
14c7661bc4
157aeb64ac
hex4ebedd30

1321131312 has 60 divisors (see below), whose sum is σ = 3783334984. Its totient is φ = 430133760.

The previous prime is 1321131283. The next prime is 1321131359. The reversal of 1321131312 is 2131311231.

1321131312 is a `hidden beast` number, since 1 + 321 + 1 + 31 + 312 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100489 + ... + 112872.

Almost surely, 21321131312 is an apocalyptic number.

1321131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1321131312 is an abundant number, since it is smaller than the sum of its proper divisors (2462203672).

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

1321131312 is a wasteful number, since it uses less digits than its factorization.

1321131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213418 (or 213409 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1321131312 is about 36347.3700836801. The cubic root of 1321131312 is about 1097.2746062255.

Adding to 1321131312 its reverse (2131311231), we get a palindrome (3452442543).

The spelling of 1321131312 in words is "one billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 213361 426722 640083 853444 1280166 1706888 1920249 2560332 3413776 3840498 5120664 7680996 9174523 10241328 15361992 18349046 27523569 30723984 36698092 55047138 73396184 82570707 110094276 146792368 165141414 220188552 330282828 440377104 660565656 1321131312