Search a number
-
+
11002121220020 = 22571931687130531
BaseRepresentation
bin1010000000011010000110…
…0001101110111110110100
31102221210101202002211010212
42200012201201232332310
52420224321013020040
635222145452404552
72213606551230260
oct240064141567664
942853352084125
1011002121220020
113561a78670a07
121298350176758
1361a659a31728
142a07111870a0
151412cca13d65
hexa01a186efb4

11002121220020 has 96 divisors (see below), whose sum is σ = 27795922667520. Its totient is φ = 3573481173120.

The previous prime is 11002121220017. The next prime is 11002121220023. The reversal of 11002121220020 is 2002212120011.

It is an interprime number because it is at equal distance from previous prime (11002121220017) and next prime (11002121220023).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11002121219977 and 11002121220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002121220023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84222155 + ... + 84352685.

It is an arithmetic number, because the mean of its divisors is an integer number (289540861120).

Almost surely, 211002121220020 is an apocalyptic number.

11002121220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002121220020 is an abundant number, since it is smaller than the sum of its proper divisors (16793801447500).

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

11002121220020 is a wasteful number, since it uses less digits than its factorization.

11002121220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162253 (or 162251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11002121220020 its reverse (2002212120011), we get a palindrome (13004333340031).

It can be divided in two parts, 1100212 and 1220020, that added together give a palindrome (2320232).

The spelling of 11002121220020 in words is "eleven trillion, two billion, one hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 31687 63374 126748 130531 158435 221809 261062 316870 443618 522124 602053 633740 652655 887236 913717 1109045 1204106 1305310 1827434 2218090 2408212 2480089 2610620 3010265 3654868 4214371 4436180 4568585 4960178 6020530 8428742 9137170 9920356 12041060 12400445 16857484 17360623 18274340 21071855 24800890 34721246 42143710 49601780 69442492 84287420 86803115 173606230 347212460 4136135797 8272271594 16544543188 20680678985 28952950579 41361357970 57905901158 78586580143 82722715940 115811802316 144764752895 157173160286 289529505790 314346320572 392932900715 550106061001 579059011580 785865801430 1100212122002 1571731602860 2200424244004 2750530305005 5501060610010 11002121220020