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103320221020 = 225178323915319
BaseRepresentation
bin110000000111001011…
…1010111010101011100
3100212200120020001020121
41200032113113111130
53143044434033040
6115244210524324
710315241250112
oct1401627272534
9325616201217
10103320221020
113a8aa631315
12180358966a4
139987651973
145001dc1ab2
152a4a983c4a
hex180e5d755c

103320221020 has 96 divisors (see below), whose sum is σ = 233491507200. Its totient is φ = 38265099264.

The previous prime is 103320220981. The next prime is 103320221063. The reversal of 103320221020 is 20122023301.

It is a junction number, because it is equal to n+sod(n) for n = 103320220985 and 103320221003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6736921 + ... + 6752239.

It is an arithmetic number, because the mean of its divisors is an integer number (2432203200).

Almost surely, 2103320221020 is an apocalyptic number.

103320221020 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 103320221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116745753600).

103320221020 is an abundant number, since it is smaller than the sum of its proper divisors (130171286180).

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

103320221020 is a wasteful number, since it uses less digits than its factorization.

103320221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15667 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103320221020 its reverse (20122023301), we get a palindrome (123442244321).

The spelling of 103320221020 in words is "one hundred three billion, three hundred twenty million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 239 332 340 415 478 830 956 1195 1411 1660 2390 2822 4063 4780 5644 7055 8126 14110 15319 16252 19837 20315 28220 30638 39674 40630 61276 76595 79348 81260 99185 153190 198370 260423 306380 337229 396740 520846 674458 1041692 1271477 1302115 1348916 1686145 2542954 2604230 3372290 3661241 5085908 5208460 6357385 6744580 7322482 12714770 14644964 18306205 21615109 25429540 36612410 43230218 62241097 73224820 86460436 108075545 124482194 216151090 248964388 303883003 311205485 432302180 607766006 622410970 1215532012 1244821940 1519415015 3038830030 5166011051 6077660060 10332022102 20664044204 25830055255 51660110510 103320221020