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103321103112 = 23321435015321
BaseRepresentation
bin110000000111001101…
…0101110101100001000
3100212200121212212020200
41200032122232230020
53143100200244422
6115244241452200
710315251612603
oct1401632565410
9325617785220
10103321103112
113a900084017
1218036041060
1399878a0306
14500217133a
152a4aaaa2ac
hex180e6aeb08

103321103112 has 24 divisors (see below), whose sum is σ = 279827987790. Its totient is φ = 34440367680.

The previous prime is 103321103089. The next prime is 103321103129. The reversal of 103321103112 is 211301123301.

103321103112 is a `hidden beast` number, since 10 + 332 + 1 + 10 + 311 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78852009636 + 24469093476 = 280806^2 + 156426^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 717507589 + ... + 717507732.

Almost surely, 2103321103112 is an apocalyptic number.

103321103112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103321103112 is an abundant number, since it is smaller than the sum of its proper divisors (176506884678).

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

103321103112 is a wasteful number, since it uses less digits than its factorization.

103321103112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435015333 (or 1435015326 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103321103112 its reverse (211301123301), we get a palindrome (314622226413).

The spelling of 103321103112 in words is "one hundred three billion, three hundred twenty-one million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1435015321 2870030642 4305045963 5740061284 8610091926 11480122568 12915137889 17220183852 25830275778 34440367704 51660551556 103321103112