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1312042200 = 233527378443
BaseRepresentation
bin100111000110100…
…0010110011011000
310101102211122112120
41032031002303120
510141340322300
6334105341240
744341113630
oct11615026330
93342748476
101312042200
116136827a7
12307497820
1317ba93241
14c63776c0
157a2bd3a0
hex4e342cd8

1312042200 has 192 divisors, whose sum is σ = 4774575360. Its totient is φ = 291755520.

The previous prime is 1312042181. The next prime is 1312042211. The reversal of 1312042200 is 22402131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1312042200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151179 + ... + 159621.

It is an arithmetic number, because the mean of its divisors is an integer number (24867580).

Almost surely, 21312042200 is an apocalyptic number.

1312042200 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 1312042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387287680).

1312042200 is an abundant number, since it is smaller than the sum of its proper divisors (3462533160).

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

1312042200 is a wasteful number, since it uses less digits than its factorization.

1312042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1312042200 is about 36222.1230741656. The cubic root of 1312042200 is about 1094.7524721456.

Adding to 1312042200 its reverse (22402131), we get a palindrome (1334444331).

The spelling of 1312042200 in words is "one billion, three hundred twelve million, forty-two thousand, two hundred".