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120100020210 = 232517320033851
BaseRepresentation
bin110111111011010000…
…1001101111111110010
3102110222222101011102200
41233312201031333302
53431431101121320
6131101224124030
711451122220342
oct1576641157762
9373888334380
10120100020210
1146a3036a855
121b339306616
13b42cb37121
145b54740d22
1531cdb61290
hex1bf684dff2

120100020210 has 96 divisors (see below), whose sum is σ = 314303416128. Its totient is φ = 31817385600.

The previous prime is 120100020197. The next prime is 120100020221. The reversal of 120100020210 is 12020001021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120100020192 and 120100020201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31184785 + ... + 31188635.

It is an arithmetic number, because the mean of its divisors is an integer number (3273993918).

Almost surely, 2120100020210 is an apocalyptic number.

120100020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157151708064).

120100020210 is an abundant number, since it is smaller than the sum of its proper divisors (194203395918).

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

120100020210 is a wasteful number, since it uses less digits than its factorization.

120100020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6040 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120100020210 its reverse (12020001021), we get a palindrome (132120021231).

The spelling of 120100020210 in words is "one hundred twenty billion, one hundred million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2003 2595 3114 3851 4006 5190 6009 7702 7785 10015 11553 12018 15570 18027 19255 20030 23106 30045 34659 36054 38510 57765 60090 69318 90135 115530 173295 180270 346519 346590 666223 693038 1039557 1332446 1732595 1998669 2079114 3118671 3331115 3465190 3997338 5197785 5996007 6237342 6662230 7713553 9993345 10395570 11992014 15427106 15593355 19986690 23140659 29980035 31186710 38567765 46281318 59960070 69421977 77135530 115703295 138843954 231406590 347109885 694219770 1334444669 2668889338 4003334007 6672223345 8006668014 12010002021 13344446690 20016670035 24020004042 40033340070 60050010105 120100020210