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103321211220 = 22325574006729
BaseRepresentation
bin110000000111001101…
…1001001000101010100
3100212200122002100112200
41200032123021011110
53143100212224340
6115244244044500
710315252543023
oct1401633110524
9325618070480
10103321211220
113a900148267
1218036093730
13998790a596
14500219c8ba
152a4aacc330
hex180e6c9154

103321211220 has 36 divisors (see below), whose sum is σ = 313407674580. Its totient is φ = 27552322944.

The previous prime is 103321211209. The next prime is 103321211233. The reversal of 103321211220 is 22112123301.

103321211220 is a `hidden beast` number, since 103 + 321 + 21 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23434711056 + 79886500164 = 153084^2 + 282642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103321211193 and 103321211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287003185 + ... + 287003544.

Almost surely, 2103321211220 is an apocalyptic number.

103321211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103321211220 is an abundant number, since it is smaller than the sum of its proper divisors (210086463360).

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

103321211220 is a wasteful number, since it uses less digits than its factorization.

103321211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574006744 (or 574006739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103321211220 its reverse (22112123301), we get a palindrome (125433334521).

The spelling of 103321211220 in words is "one hundred three billion, three hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 574006729 1148013458 1722020187 2296026916 2870033645 3444040374 5166060561 5740067290 6888080748 8610100935 10332121122 11480134580 17220201870 20664242244 25830302805 34440403740 51660605610 103321211220