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10321540100 = 2252208949409
BaseRepresentation
bin10011001110011011…
…00011010000000100
3222122022210120012222
421213031203100010
5132114303240400
64424110231512
7513530433434
oct114715432004
928568716188
1010321540100
114417270933
1220007b5598
13c864ba6a1
146dcb422c4
15406224185
hex267363404

10321540100 has 36 divisors (see below), whose sum is σ = 22408917300. Its totient is φ = 4126556160.

The previous prime is 10321540093. The next prime is 10321540109. The reversal of 10321540100 is 104512301.

It can be written as a sum of positive squares in 6 ways, for example, as 2637376 + 10318902724 = 1624^2 + 101582^2 .

It is not an unprimeable number, because it can be changed into a prime (10321540109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184196 + ... + 233604.

It is an arithmetic number, because the mean of its divisors is an integer number (622469925).

Almost surely, 210321540100 is an apocalyptic number.

10321540100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10321540100 is an abundant number, since it is smaller than the sum of its proper divisors (12087377200).

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

10321540100 is a wasteful number, since it uses less digits than its factorization.

10321540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51512 (or 51505 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The spelling of 10321540100 in words is "ten billion, three hundred twenty-one million, five hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2089 4178 8356 10445 20890 41780 49409 52225 98818 104450 197636 208900 247045 494090 988180 1235225 2470450 4940900 103215401 206430802 412861604 516077005 1032154010 2064308020 2580385025 5160770050 10321540100