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122122200102 = 23722360729753
BaseRepresentation
bin111000110111100001…
…1001110010000100110
3102200012220110112202020
41301233003032100212
54000101240400402
6132034022324010
711552205400500
oct1615703162046
9380186415666
10122122200102
1147878886501
121b802589606
13b692a78b86
145ca7130d70
15329b4558bc
hex1c6f0ce426

122122200102 has 96 divisors (see below), whose sum is σ = 296972531712. Its totient is φ = 33318907776.

The previous prime is 122122200091. The next prime is 122122200119. The reversal of 122122200102 is 201002221221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4089658 + ... + 4119410.

It is an arithmetic number, because the mean of its divisors is an integer number (3093463872).

Almost surely, 2122122200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148486265856).

122122200102 is an abundant number, since it is smaller than the sum of its proper divisors (174850331610).

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

122122200102 is a wasteful number, since it uses less digits than its factorization.

122122200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30402 (or 30395 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122122200102 its reverse (201002221221), we get a palindrome (323124421323).

The spelling of 122122200102 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 483 607 966 1127 1214 1821 2254 3381 3642 4249 6762 8498 12747 13961 25494 27922 29743 29753 41883 59486 59506 83766 89229 89259 97727 178458 178518 195454 208271 293181 416542 586362 624813 684089 684319 1249626 1368178 1368638 1457897 2052267 2052957 2915794 4104534 4105914 4373691 4790233 8747382 9580466 14370699 18060071 28741398 33531631 36120142 54180213 67063262 100594893 108360426 126420497 201189786 252840994 379261491 415381633 758522982 830763266 884943479 1246144899 1769886958 2492289798 2654830437 2907671431 5309660874 5815342862 8723014293 17446028586 20353700017 40707400034 61061100051 122122200102