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1320221112 = 233725691973
BaseRepresentation
bin100111010110000…
…1111100110111000
310102000020011220020
41032230033212320
510200434033422
6335000530440
744500460100
oct11654174670
93360204806
101320221112
11618259731
1230a180a20
13180697c32
14c74a6200
157ad8695c
hex4eb0f9b8

1320221112 has 96 divisors (see below), whose sum is σ = 3848115600. Its totient is φ = 376352256.

The previous prime is 1320221083. The next prime is 1320221129. The reversal of 1320221112 is 2111220231.

It is a junction number, because it is equal to n+sod(n) for n = 1320221091 and 1320221100.

It is a congruent number.

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, 668158 + ... + 670130.

Almost surely, 21320221112 is an apocalyptic number.

1320221112 is a gapful number since it is divisible by the number (12) 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 1320221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924057800).

1320221112 is an abundant number, since it is smaller than the sum of its proper divisors (2527894488).

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

1320221112 is a wasteful number, since it uses less digits than its factorization.

1320221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1320221112 is about 36334.8470755004. The cubic root of 1320221112 is about 1097.0225573975.

Adding to 1320221112 its reverse (2111220231), we get a palindrome (3431441343).

The spelling of 1320221112 in words is "one billion, three hundred twenty million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 569 588 1138 1176 1707 1973 2276 3414 3946 3983 4552 5919 6828 7892 7966 11838 11949 13656 13811 15784 15932 23676 23898 27622 27881 31864 41433 47352 47796 55244 55762 82866 83643 95592 96677 110488 111524 165732 167286 193354 223048 290031 331464 334572 386708 580062 669144 773416 1122637 1160124 2245274 2320248 3367911 4490548 6735822 7858459 8981096 13471644 15716918 23575377 26943288 31433836 47150754 55009213 62867672 94301508 110018426 165027639 188603016 220036852 330055278 440073704 660110556 1320221112