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1312202120 = 235177127179
BaseRepresentation
bin100111000110110…
…1001110110001000
310101110010202220112
41032031221312020
510141410431440
6334113013452
744342351105
oct11615516610
93343122815
101312202120
11613781969
12307554288
1317bb1ac78
14c63b9aac
157a300965
hex4e369d88

1312202120 has 64 divisors (see below), whose sum is σ = 3170275200. Its totient is φ = 487029760.

The previous prime is 1312202113. The next prime is 1312202123. The reversal of 1312202120 is 212022131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1312202095 and 1312202104.

It is not an unprimeable number, because it can be changed into a prime (1312202123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34691 + ... + 61869.

It is an arithmetic number, because the mean of its divisors is an integer number (49535550).

Almost surely, 21312202120 is an apocalyptic number.

1312202120 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 1312202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585137600).

1312202120 is an abundant number, since it is smaller than the sum of its proper divisors (1858073080).

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

1312202120 is a wasteful number, since it uses less digits than its factorization.

1312202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27278 (or 27274 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1312202120 is about 36224.3304976089. The cubic root of 1312202120 is about 1094.7969487899.

Adding to 1312202120 its reverse (212022131), we get a palindrome (1524224251).

The spelling of 1312202120 in words is "one billion, three hundred twelve million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 340 355 568 680 710 1207 1420 2414 2840 4828 6035 9656 12070 24140 27179 48280 54358 108716 135895 217432 271790 462043 543580 924086 1087160 1848172 1929709 2310215 3696344 3859418 4620430 7718836 9240860 9648545 15437672 18481720 19297090 32805053 38594180 65610106 77188360 131220212 164025265 262440424 328050530 656101060 1312202120