Search a number
-
+
1312120122210 = 2325411245128559
BaseRepresentation
bin10011000110000000011…
…101000010101101100010
311122102210220111110021100
4103012000131002231202
5132444210222402320
62442440223535230
7163540363005552
oct23060035025542
94572726443240
101312120122210
11466515669417
1219236a45a516
139696a0c96a1
1447715115162
15241e7ec2790
hex13180742b62

1312120122210 has 96 divisors (see below), whose sum is σ = 3495122991360. Its totient is φ = 341325216000.

The previous prime is 1312120122191. The next prime is 1312120122211. The reversal of 1312120122210 is 122210212131.

1312120122210 is a `hidden beast` number, since 1 + 312 + 1 + 20 + 122 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1312120122211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45929911 + ... + 45958469.

It is an arithmetic number, because the mean of its divisors is an integer number (36407531160).

Almost surely, 21312120122210 is an apocalyptic number.

1312120122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312120122210 is an abundant number, since it is smaller than the sum of its proper divisors (2183002869150).

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

1312120122210 is a wasteful number, since it uses less digits than its factorization.

1312120122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41064 (or 41061 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1312120122210 its reverse (122210212131), we get a palindrome (1434330334341).

The spelling of 1312120122210 in words is "one trillion, three hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 12451 24902 28559 37353 57118 62255 74706 85677 112059 124510 142795 171354 186765 224118 257031 285590 373530 428385 510491 514062 560295 856770 1020982 1120590 1170919 1285155 1531473 2341838 2552455 2570310 3062946 3512757 4594419 5104910 5854595 7025514 7657365 9188838 10538271 11709190 15314730 17563785 21076542 22972095 35127570 45944190 52691355 105382710 355588109 711176218 1066764327 1777940545 2133528654 3200292981 3555881090 5333821635 6400585962 10667643270 14579112469 16001464905 29158224938 32002929810 43737337407 72895562345 87474674814 131212012221 145791124690 218686687035 262424024442 437373374070 656060061105 1312120122210