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1321012100 = 225213210121
BaseRepresentation
bin100111010111101…
…0000101110000100
310102001201100221002
41032233100232010
510201134341400
6335025512432
744510263142
oct11657205604
93361640832
101321012100
11618749a41
1230a4a2718
131808b3c85
14c7630592
157ae90ed5
hex4ebd0b84

1321012100 has 18 divisors (see below), whose sum is σ = 2866596474. Its totient is φ = 528404800.

The previous prime is 1321012067. The next prime is 1321012103. The reversal of 1321012100 is 12101231.

It can be written as a sum of positive squares in 3 ways, for example, as 7529536 + 1313482564 = 2744^2 + 36242^2 .

It is not an unprimeable number, because it can be changed into a prime (1321012103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6604961 + ... + 6605160.

Almost surely, 21321012100 is an apocalyptic number.

1321012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321012100 is an abundant number, since it is smaller than the sum of its proper divisors (1545584374).

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

1321012100 is a wasteful number, since it uses less digits than its factorization.

1321012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13210135 (or 13210128 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1321012100 is about 36345.7301481206. The cubic root of 1321012100 is about 1097.2416011200.

Adding to 1321012100 its reverse (12101231), we get a palindrome (1333113331).

The spelling of 1321012100 in words is "one billion, three hundred twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13210121 26420242 52840484 66050605 132101210 264202420 330253025 660506050 1321012100