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1320100100 = 2252111319161
BaseRepresentation
bin100111010101111…
…0010000100000100
310102000000000220022
41032223302010010
510200421200400
6334554154312
744466444224
oct11653620404
93360000808
101320100100
11618186820
1230a122998
13180654b27
14c7474084
157ad60b85
hex4eaf2104

1320100100 has 72 divisors (see below), whose sum is σ = 3149235936. Its totient is φ = 476320000.

The previous prime is 1320100057. The next prime is 1320100127. The reversal of 1320100100 is 10010231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139520 + ... + 148680.

It is an arithmetic number, because the mean of its divisors is an integer number (43739388).

Almost surely, 21320100100 is an apocalyptic number.

1320100100 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 1320100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574617968).

1320100100 is an abundant number, since it is smaller than the sum of its proper divisors (1829135836).

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

1320100100 is a wasteful number, since it uses less digits than its factorization.

1320100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1320100100 is about 36333.1818039654. The cubic root of 1320100100 is about 1096.9890385299.

Adding to 1320100100 its reverse (10010231), we get a palindrome (1330110331).

The spelling of 1320100100 in words is "one billion, three hundred twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 220 262 275 524 550 655 1100 1310 1441 2620 2882 3275 5764 6550 7205 9161 13100 14410 18322 28820 36025 36644 45805 72050 91610 100771 144100 183220 201542 229025 403084 458050 503855 916100 1007710 1200091 2015420 2400182 2519275 4800364 5038550 6000455 10077100 12000910 13201001 24001820 26402002 30002275 52804004 60004550 66005005 120009100 132010010 264020020 330025025 660050050 1320100100