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10102020122020 = 22519131721928111
BaseRepresentation
bin1001001100000000111101…
…0100100010010110100100
31022202202002011002102112011
42103000033110202112210
52311002414122401040
633252445354204004
72061563322152341
oct223001724422644
938682064072464
1010102020122020
113245273aaa752
121171a0a123604
13583802339128
1426cd245a57c8
15127b9b6b73ea
hex9300f5225a4

10102020122020 has 96 divisors (see below), whose sum is σ = 22505162803200. Its totient is φ = 3798250185600.

The previous prime is 10102020122017. The next prime is 10102020122053. The reversal of 10102020122020 is 2022102020101.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 359347765 + ... + 359375875.

It is an arithmetic number, because the mean of its divisors is an integer number (234428779200).

Almost surely, 210102020122020 is an apocalyptic number.

10102020122020 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 10102020122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11252581401600).

10102020122020 is an abundant number, since it is smaller than the sum of its proper divisors (12403142681180).

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

10102020122020 is a wasteful number, since it uses less digits than its factorization.

10102020122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35489 (or 35487 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10102020122020 its reverse (2022102020101), we get a palindrome (12124122142121).

The spelling of 10102020122020 in words is "ten trillion, one hundred two billion, twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 131 190 262 380 524 655 1310 2489 2620 4978 7219 9956 12445 14438 24890 28111 28876 36095 49780 56222 72190 112444 137161 140555 144380 274322 281110 534109 548644 562220 685805 945689 1068218 1371610 1891378 2136436 2670545 2743220 3682541 3782756 4728445 5341090 7365082 9456890 10682180 14730164 17968091 18412705 18913780 35936182 36825410 69968279 71872364 73650820 89840455 139936558 179680910 202933309 279873116 349841395 359361820 405866618 699682790 811733236 1014666545 1399365580 2029333090 3855732871 4058666180 7711465742 15422931484 19278664355 26584263479 38557328710 53168526958 77114657420 106337053916 132921317395 265842634790 505101006101 531685269580 1010202012202 2020404024404 2525505030505 5051010061010 10102020122020