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122020000113 = 311210127112281
BaseRepresentation
bin111000110100011110…
…1010111000101110001
3102122221210011020201110
41301220331113011301
53444344110000423
6132015532023533
711546524613364
oct1615075270561
9378853136643
10122020000113
1147826122100
121b794301ba9
13b677844bcb
145c9772a0db
1532924b9193
hex1c68f57171

122020000113 has 48 divisors (see below), whose sum is σ = 181279961856. Its totient is φ = 72943200000.

The previous prime is 122020000087. The next prime is 122020000127. The reversal of 122020000113 is 311000020221.

It is not a de Polignac number, because 122020000113 - 212 = 122019996017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122020000213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9929533 + ... + 9941813.

It is an arithmetic number, because the mean of its divisors is an integer number (3776665872).

Almost surely, 2122020000113 is an apocalyptic number.

It is an amenable number.

122020000113 is a deficient number, since it is larger than the sum of its proper divisors (59259961743).

122020000113 is a wasteful number, since it uses less digits than its factorization.

122020000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12678 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122020000113 its reverse (311000020221), we get a palindrome (433020020334).

The spelling of 122020000113 in words is "one hundred twenty-two billion, twenty million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 3 11 33 101 121 271 303 363 813 1111 2981 3333 8943 12221 12281 27371 32791 36663 36843 82113 98373 135091 301081 405273 903243 1240381 1486001 3311891 3328151 3721143 4458003 9935673 9984453 13644191 36609661 40932573 109828983 150086101 336143251 402706271 450258303 1008429753 1208118813 3697575761 11092727283 40673333371 122020000113