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120021102202221 = 32113728231076017
BaseRepresentation
bin11011010010100010010111…
…001010011000110101101101
3120201221220102222021222101200
4123102202113022120311231
5111212411204130432341
61103132533322200113
734165144541015463
oct3322422712306555
9521856388258350
10120021102202221
1135273733282060
1211564a88353039
1351c7c3127676c
14218d0a38a8833
15dd205703edb6
hex6d2897298d6d

120021102202221 has 72 divisors (see below), whose sum is σ = 194610130513344. Its totient is φ = 70688053347840.

The previous prime is 120021102202181. The next prime is 120021102202237. The reversal of 120021102202221 is 122202201120021.

It is a happy number.

120021102202221 is a `hidden beast` number, since 1 + 200 + 21 + 1 + 0 + 220 + 2 + 221 = 666.

It is not a de Polignac number, because 120021102202221 - 213 = 120021102194029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120021102202194 and 120021102202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021102202621) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111004005 + ... + 112080021.

It is an arithmetic number, because the mean of its divisors is an integer number (2702918479352).

Almost surely, 2120021102202221 is an apocalyptic number.

120021102202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120021102202221 is a deficient number, since it is larger than the sum of its proper divisors (74589028311123).

120021102202221 is a wasteful number, since it uses less digits than its factorization.

120021102202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076931 (or 1076891 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120021102202221 its reverse (122202201120021), we get a palindrome (242223303322242).

The spelling of 120021102202221 in words is "one hundred twenty trillion, twenty-one billion, one hundred two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 823 1221 1369 2469 3663 4107 7407 9053 12321 15059 27159 30451 45177 81477 91353 135531 274059 334961 1004883 1076017 1126687 3014649 3228051 3380061 9684153 10140183 11836187 12393557 35508561 37180671 39812629 106525683 111542013 119437887 358313661 437938919 885561991 1313816757 1473067273 2656685973 3941450271 4419201819 7970057919 9741181901 13257605457 16203740003 29223545703 32765793667 48611220009 87670637109 98297381001 145833660027 294892143003 360423730337 1081271191011 1212334365679 3243813573033 3637003097037 10911009291111 13335678022469 40007034067407 120021102202221