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1312335420 = 22351110119687
BaseRepresentation
bin100111000111000…
…1010011000111100
310101110101112202120
41032032022120330
510141424213140
6334115522540
744343444534
oct11616123074
93343345676
101312335420
11613863030
123075b9450
1317bb66846
14c64124c4
157a32a1d0
hex4e38a63c

1312335420 has 96 divisors (see below), whose sum is σ = 4048482816. Its totient is φ = 314976000.

The previous prime is 1312335391. The next prime is 1312335433. The reversal of 1312335420 is 245332131.

It is a congruent number.

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, 56817 + ... + 76503.

It is an arithmetic number, because the mean of its divisors is an integer number (42171696).

Almost surely, 21312335420 is an apocalyptic number.

1312335420 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 1312335420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024241408).

1312335420 is an abundant number, since it is smaller than the sum of its proper divisors (2736147396).

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

1312335420 is a wasteful number, since it uses less digits than its factorization.

1312335420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19811 (or 19809 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1312335420 is about 36226.1703744682. The cubic root of 1312335420 is about 1094.8340191695.

Adding to 1312335420 its reverse (245332131), we get a palindrome (1557667551).

The spelling of 1312335420 in words is "one billion, three hundred twelve million, three hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 19687 22220 33330 39374 59061 66660 78748 98435 118122 196870 216557 236244 295305 393740 433114 590610 649671 866228 1082785 1181220 1299342 1988387 2165570 2598684 3248355 3976774 4331140 5965161 6496710 7953548 9941935 11930322 12993420 19883870 21872257 23860644 29825805 39767740 43744514 59651610 65616771 87489028 109361285 119303220 131233542 218722570 262467084 328083855 437445140 656167710 1312335420