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1321130100 = 2235231142057
BaseRepresentation
bin100111010111110…
…1101100001110100
310102001221100210110
41032233231201310
510201202130400
6335032223020
744511264153
oct11657554164
93361840713
101321130100
1161881a664
1230a53aa70
131809258b4
14c766159a
157aeb5e50
hex4ebed874

1321130100 has 72 divisors (see below), whose sum is σ = 3945803008. Its totient is φ = 340934400.

The previous prime is 1321130093. The next prime is 1321130101. The reversal of 1321130100 is 10311231.

It is a super-2 number, since 2×13211301002 = 3490769482252020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321130101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61729 + ... + 80328.

Almost surely, 21321130100 is an apocalyptic number.

1321130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321130100 is an abundant number, since it is smaller than the sum of its proper divisors (2624672908).

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

1321130100 is a wasteful number, since it uses less digits than its factorization.

1321130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142105 (or 142098 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1321130100 is about 36347.3534112183. The cubic root of 1321130100 is about 1097.2742706804.

Adding to 1321130100 its reverse (10311231), we get a palindrome (1331441331).

The spelling of 1321130100 in words is "one billion, three hundred twenty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 142057 284114 426171 568228 710285 852342 1420570 1704684 2130855 2841140 3551425 4261710 4403767 7102850 8523420 8807534 10654275 13211301 14205700 17615068 21308550 22018835 26422602 42617100 44037670 52845204 66056505 88075340 110094175 132113010 220188350 264226020 330282525 440376700 660565050 1321130100