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11002121211220 = 22517232336038287
BaseRepresentation
bin1010000000011010000110…
…0001101100110101010100
31102221210101202002101001221
42200012201201230311110
52420224321012224340
635222145452300124
72213606551162516
oct240064141546524
942853352071057
1011002121211220
113561a78665337
121298350171644
1361a659a2a719
142a0711183bb6
151412cca1144a
hexa01a186cd54

11002121211220 has 96 divisors (see below), whose sum is σ = 25636735208448. Its totient is φ = 3944884703232.

The previous prime is 11002121211217. The next prime is 11002121211253. The reversal of 11002121211220 is 2211212120011.

It is a super-2 number, since 2×110021212112202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11002121211194 and 11002121211203.

It is a congruent 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, 1197084 + ... + 4841203.

It is an arithmetic number, because the mean of its divisors is an integer number (267049325088).

Almost surely, 211002121211220 is an apocalyptic number.

11002121211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002121211220 is an abundant number, since it is smaller than the sum of its proper divisors (14634613997228).

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

11002121211220 is a wasteful number, since it uses less digits than its factorization.

11002121211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038569 (or 6038567 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11002121211220 its reverse (2211212120011), we get a palindrome (13213333331231).

The spelling of 11002121211220 in words is "eleven trillion, two billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 233 340 391 460 466 782 932 1165 1564 1955 2330 3910 3961 4660 5359 7820 7922 10718 15844 19805 21436 26795 39610 53590 79220 91103 107180 182206 364412 455515 911030 1822060 6038287 12076574 24153148 30191435 60382870 102650879 120765740 138880601 205301758 277761202 410603516 513254395 555522404 694403005 1026508790 1388806010 1406920871 2053017580 2360970217 2777612020 2813841742 4721940434 5627683484 7034604355 9443880868 11804851085 14069208710 23609702170 23917654807 28138417420 32359180033 47219404340 47835309614 64718360066 95670619228 119588274035 129436720132 161795900165 239176548070 323591800330 478353096140 550106060561 647183600660 1100212121122 2200424242244 2750530302805 5501060605610 11002121211220