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1318121010 = 2325171945343
BaseRepresentation
bin100111010010000…
…1110111000110010
310101212021111002200
41032210032320302
510144414333020
6334443524030
744443562253
oct11644167062
93355244080
101318121010
11617054908
12309529616
1318011107b
14c70bab2a
157aabe590
hex4e90ee32

1318121010 has 96 divisors (see below), whose sum is σ = 3819778560. Its totient is φ = 313403904.

The previous prime is 1318120997. The next prime is 1318121033. The reversal of 1318121010 is 101218131.

It is a happy number.

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

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, 6399 + ... + 51741.

It is an arithmetic number, because the mean of its divisors is an integer number (39789360).

Almost surely, 21318121010 is an apocalyptic number.

1318121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909889280).

1318121010 is an abundant number, since it is smaller than the sum of its proper divisors (2501657550).

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

1318121010 is a wasteful number, since it uses less digits than its factorization.

1318121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45392 (or 45389 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1318121010 is about 36305.9362914662. The cubic root of 1318121010 is about 1096.4405634863.

Adding to 1318121010 its reverse (101218131), we get a palindrome (1419339141).

It can be divided in two parts, 13181 and 21010, that added together give a triangular number (34191 = T261).

The spelling of 1318121010 in words is "one billion, three hundred eighteen million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 510 570 646 765 855 969 1530 1615 1710 1938 2907 3230 4845 5814 9690 14535 29070 45343 90686 136029 226715 272058 408087 453430 680145 770831 816174 861517 1360290 1541662 1723034 2040435 2312493 2584551 3854155 4080870 4307585 4624986 5169102 6937479 7708310 7753653 8615170 11562465 12922755 13874958 14645789 15507306 23124930 25845510 29291578 34687395 38768265 43937367 69374790 73228945 77536530 87874734 131812101 146457890 219686835 263624202 439373670 659060505 1318121010