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202112120011122 = 2344241294177241
BaseRepresentation
bin101101111101000111100101…
…000111100011100101110010
3222111121201201011001121110000
4231331013211013203211302
5202442401110210323442
61553505005351250430
760400055514223506
oct5575074507434562
9874551634047400
10202112120011122
11594432a576aa52
121a802824079a16
1388a11252c64a9
1437ca3c9072306
151857600330d4c
hexb7d1e51e3972

202112120011122 has 40 divisors (see below), whose sum is σ = 452987649384732. Its totient is φ = 67354820870400.

The previous prime is 202112120011117. The next prime is 202112120011157. The reversal of 202112120011122 is 221110021211202.

It can be written as a sum of positive squares in 2 ways, for example, as 194627359693881 + 7484760317241 = 13950891^2 + 2735829^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202112120011095 and 202112120011104.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 146401579 + ... + 147775662.

Almost surely, 2202112120011122 is an apocalyptic number.

202112120011122 is an abundant number, since it is smaller than the sum of its proper divisors (250875529373610).

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

202112120011122 is a wasteful number, since it uses less digits than its factorization.

202112120011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294181496 (or 294181487 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202112120011122 its reverse (221110021211202), we get a palindrome (423222141222324).

The spelling of 202112120011122 in words is "two hundred two trillion, one hundred twelve billion, one hundred twenty million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 4241 8482 12723 25446 38169 76338 114507 229014 343521 687042 294177241 588354482 882531723 1765063446 2647595169 5295190338 7942785507 15885571014 23828356521 47656713042 1247605679081 2495211358162 3742817037243 7485634074486 11228451111729 22456902223458 33685353335187 67370706670374 101056060005561 202112120011122