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103310210020 = 22531241131101
BaseRepresentation
bin110000000110111000…
…1001011001111100100
3100212122212101102201211
41200031301023033210
53143034403210040
6115243212201204
710315060203403
oct1401561131744
9325585342654
10103310210020
113a8a4a13966
1218032469204
1399855580b4
14500093763a
152a49b578ea
hex180dc4b3e4

103310210020 has 72 divisors (see below), whose sum is σ = 229645080504. Its totient is φ = 39015360000.

The previous prime is 103310209963. The next prime is 103310210023. The reversal of 103310210020 is 20012013301.

It can be written as a sum of positive squares in 4 ways, for example, as 7107556 + 103303102464 = 2666^2 + 321408^2 .

It is not an unprimeable number, because it can be changed into a prime (103310210023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722470 + ... + 853570.

It is an arithmetic number, because the mean of its divisors is an integer number (3189515007).

Almost surely, 2103310210020 is an apocalyptic number.

103310210020 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 103310210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114822540252).

103310210020 is an abundant number, since it is smaller than the sum of its proper divisors (126334870484).

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

103310210020 is a wasteful number, since it uses less digits than its factorization.

103310210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131213 (or 131180 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103310210020 its reverse (20012013301), we get a palindrome (123322223321).

The spelling of 103310210020 in words is "one hundred three billion, three hundred ten million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 961 1271 1922 2542 3844 4805 5084 6355 9610 12710 19220 25420 39401 78802 131101 157604 197005 262202 394010 524404 655505 788020 1311010 2622020 4064131 5375141 8128262 10750282 16256524 20320655 21500564 26875705 40641310 53751410 81282620 107502820 125988061 166629371 251976122 333258742 503952244 629940305 666517484 833146855 1259880610 1666293710 2519761220 3332587420 5165510501 10331021002 20662042004 25827552505 51655105010 103310210020