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110220122210121 = 33711232305040513
BaseRepresentation
bin11001000011111010011111…
…001110110011111101001001
3112110020221101211022122122000
4121003322133032303331021
5103421321302241210441
61030230231454421213
732134066243445310
oct3103723716637511
9473227354278560
10110220122210121
1132135100611710
1210441493b01809
1349669363b7131
141d3097a63b277
15cb21294e32b6
hex643e9f3b3f49

110220122210121 has 64 divisors (see below), whose sum is σ = 212432533770240. Its totient is φ = 54767762565120.

The previous prime is 110220122210113. The next prime is 110220122210131. The reversal of 110220122210121 is 121012221022011.

110220122210121 is a `hidden beast` number, since 110 + 2 + 201 + 22 + 210 + 121 = 666.

It is not a de Polignac number, because 110220122210121 - 23 = 110220122210113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110220122210094 and 110220122210103.

It is not an unprimeable number, because it can be changed into a prime (110220122210131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1152472440 + ... + 1152568073.

It is an arithmetic number, because the mean of its divisors is an integer number (3319258340160).

Almost surely, 2110220122210121 is an apocalyptic number.

110220122210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110220122210121 is a deficient number, since it is larger than the sum of its proper divisors (102212411560119).

110220122210121 is a wasteful number, since it uses less digits than its factorization.

110220122210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305040563 (or 2305040557 counting only the distinct ones).

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

Adding to 110220122210121 its reverse (121012221022011), we get a palindrome (231232343232132).

The spelling of 110220122210121 in words is "one hundred ten trillion, two hundred twenty billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 23 27 33 63 69 77 99 161 189 207 231 253 297 483 621 693 759 1449 1771 2079 2277 4347 5313 6831 15939 47817 2305040513 6915121539 16135283591 20745364617 25355445643 48405850773 53015931799 62236093851 76066336929 145217552319 159047795397 177488119501 228199010787 371111522593 435652656957 477143386191 532464358503 583175249789 684597032361 1113334567779 1431430158573 1597393075509 1749525749367 3340003703337 4082226748523 4792179226527 5248577248101 10020011110011 12246680245569 15745731744303 36740040736707 110220122210121