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101120103320 = 23547269319973
BaseRepresentation
bin101111000101100111…
…0100101001110011000
3100200000020022111010212
41132023032211032120
53124043221301240
6114242014430252
710206564460565
oct1361316451630
9320006274125
10101120103320
1139980731325
1217720b02388
1396c68ab882
144c73b1386c
15296c742165
hex178b3a5398

101120103320 has 64 divisors (see below), whose sum is σ = 232459009920. Its totient is φ = 39570763264.

The previous prime is 101120103289. The next prime is 101120103347. The reversal of 101120103320 is 23301021101.

It is a junction number, because it is equal to n+sod(n) for n = 101120103295 and 101120103304.

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 15 ways as a sum of consecutive naturals, for example, 5052854 + ... + 5072826.

It is an arithmetic number, because the mean of its divisors is an integer number (3632172030).

Almost surely, 2101120103320 is an apocalyptic number.

101120103320 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 101120103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116229504960).

101120103320 is an abundant number, since it is smaller than the sum of its proper divisors (131338906600).

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

101120103320 is a wasteful number, since it uses less digits than its factorization.

101120103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22724 (or 22720 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101120103320 its reverse (23301021101), we get a palindrome (124421124421).

The spelling of 101120103320 in words is "one hundred one billion, one hundred twenty million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2693 5386 10772 13465 19973 21544 26930 39946 53860 79892 99865 107720 126571 159784 199730 253142 399460 506284 632855 798920 938731 1012568 1265710 1877462 2531420 3754924 4693655 5062840 7509848 9387310 18774620 37549240 53787289 107574578 215149156 268936445 430298312 537872890 1075745780 2151491560 2528002583 5056005166 10112010332 12640012915 20224020664 25280025830 50560051660 101120103320