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10122212212 = 2274383199509
BaseRepresentation
bin10010110110101010…
…01011001101110100
3222010102201122202121
421123111023031310
5131212241242322
64352230045324
7505560245530
oct113325131564
928112648677
1010122212212
1143247a7942
121b65aa9844
13c5410a2a8
146c0496bc0
153e399dec7
hex25b54b374

10122212212 has 96 divisors (see below), whose sum is σ = 21111552000. Its totient is φ = 4156935552.

The previous prime is 10122212197. The next prime is 10122212227. The reversal of 10122212212 is 21221222101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10122212197) and next prime (10122212227).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19886214 + ... + 19886722.

It is an arithmetic number, because the mean of its divisors is an integer number (219912000).

Almost surely, 210122212212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10555776000).

10122212212 is an abundant number, since it is smaller than the sum of its proper divisors (10989339788).

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

10122212212 is a wasteful number, since it uses less digits than its factorization.

10122212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122212212 its reverse (21221222101), we get a palindrome (31343434313).

The spelling of 10122212212 in words is "ten billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 43 83 86 166 172 199 301 332 398 509 581 602 796 1018 1162 1204 1393 2036 2324 2786 3563 3569 5572 7126 7138 8557 14252 14276 16517 17114 21887 24983 33034 34228 42247 43774 49966 59899 66068 84494 87548 99932 101291 115619 119798 153209 168988 202582 231238 239596 295729 306418 405164 462476 591458 612836 709037 710231 1182916 1418074 1420462 1816621 2836148 2840924 3633242 4355513 4971617 7266484 8407153 8711026 9943234 12716347 16814306 17422052 19886468 25432694 30488591 33628612 50865388 58850071 60977182 117700142 121954364 235400284 361507579 723015158 1446030316 2530553053 5061106106 10122212212