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120001103220 = 22353761218831
BaseRepresentation
bin110111111000010011…
…1111000010101110100
3102110202002020122211110
41233300213320111310
53431230240300340
6131043332035020
711445511355535
oct1576047702564
9373662218743
10120001103220
114698a548a79
121b310162a70
13b4154b256b
145b4555268c
1531c5122680
hex1bf09f8574

120001103220 has 96 divisors (see below), whose sum is σ = 345179713536. Its totient is φ = 31126809600.

The previous prime is 120001103219. The next prime is 120001103231. The reversal of 120001103220 is 22301100021.

120001103220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120001103196 and 120001103205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13584205 + ... + 13593035.

It is an arithmetic number, because the mean of its divisors is an integer number (3595622016).

Almost surely, 2120001103220 is an apocalyptic number.

120001103220 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 120001103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172589856768).

120001103220 is an abundant number, since it is smaller than the sum of its proper divisors (225178610316).

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

120001103220 is a wasteful number, since it uses less digits than its factorization.

120001103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15001 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120001103220 its reverse (22301100021), we get a palindrome (142302203241).

The spelling of 120001103220 in words is "one hundred twenty billion, one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 6121 8831 12242 17662 18363 24484 26493 30605 35324 36726 44155 52986 61210 73452 88310 91815 105972 122420 132465 176620 183630 226477 264930 326747 367260 452954 529860 653494 679431 905908 980241 1132385 1306988 1358862 1633735 1960482 2264770 2717724 3267470 3397155 3920964 4529540 4901205 6534940 6794310 9802410 13588620 19604820 54054551 108109102 162163653 216218204 270272755 324327306 540545510 648654612 810818265 1081091020 1621636530 2000018387 3243273060 4000036774 6000055161 8000073548 10000091935 12000110322 20000183870 24000220644 30000275805 40000367740 60000551610 120001103220