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122102212100 = 225211290338237
BaseRepresentation
bin111000110110111011…
…0111110011000000100
3102200011111212001100212
41301231312332120010
54000031131241400
6132032030054552
711551543451441
oct1615566763004
9380144761325
10122102212100
11478685741a0
121b7b794a458
13b68b89b05b
145ca460a9c8
153299808335
hex1c6ddbe604

122102212100 has 72 divisors (see below), whose sum is σ = 289156367808. Its totient is φ = 44384348800.

The previous prime is 122102212079. The next prime is 122102212153. The reversal of 122102212100 is 1212201221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3174182 + ... + 3212418.

It is an arithmetic number, because the mean of its divisors is an integer number (4016060664).

Almost surely, 2122102212100 is an apocalyptic number.

122102212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102212100 is an abundant number, since it is smaller than the sum of its proper divisors (167054155708).

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

122102212100 is a wasteful number, since it uses less digits than its factorization.

122102212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41165 (or 41158 counting only the distinct ones).

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

Adding to 122102212100 its reverse (1212201221), we get a palindrome (123314413321).

The spelling of 122102212100 in words is "one hundred twenty-two billion, one hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2903 5806 11612 14515 29030 31933 38237 58060 63866 72575 76474 127732 145150 152948 159665 191185 290300 319330 382370 420607 638660 764740 798325 841214 955925 1596650 1682428 1911850 2103035 3193300 3823700 4206070 8412140 10515175 21030350 42060700 111002011 222004022 444008044 555010055 1110020110 1221022121 2220040220 2442044242 2775050275 4884088484 5550100550 6105110605 11100201100 12210221210 24420442420 30525553025 61051106050 122102212100