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10122210002212 = 227111012811157969
BaseRepresentation
bin1001001101001100001010…
…1110110100010100100100
31022211200012012220121102121
42103103002232310110210
52311320241230032322
633310025025315324
72063206541254660
oct223230256642444
938750165817377
1010122210002212
11325289472a550
121175903795b44
1358569c166ab9
1426dcbbb978a0
1512847de3dec7
hex934c2bb4524

10122210002212 has 96 divisors (see below), whose sum is σ = 22382874581760. Its totient is φ = 3890772480000.

The previous prime is 10122210002159. The next prime is 10122210002213. The reversal of 10122210002212 is 21220001222101.

It is a happy number.

It is a super-3 number, since 3×101222100022123 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122210002213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8162364 + ... + 9320332.

It is an arithmetic number, because the mean of its divisors is an integer number (233154943560).

Almost surely, 210122210002212 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 10122210002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11191437290880).

10122210002212 is an abundant number, since it is smaller than the sum of its proper divisors (12260664579548).

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

10122210002212 is a wasteful number, since it uses less digits than its factorization.

10122210002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158373 (or 1158371 counting only the distinct ones).

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

Adding to 10122210002212 its reverse (21220001222101), we get a palindrome (31342211224313).

The spelling of 10122210002212 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 281 308 404 562 707 1111 1124 1414 1967 2222 2828 3091 3934 4444 6182 7777 7868 12364 15554 21637 28381 31108 43274 56762 86548 113524 198667 312191 397334 624382 794668 1157969 1248764 2185337 2315938 4370674 4631876 8105783 8741348 12737659 16211566 25475318 32423132 50950636 89163613 116954869 178327226 233909738 325389289 356654452 467819476 650778578 818684083 1286503559 1301557156 1637368166 2277725023 2573007118 3274736332 3579282179 4555450046 5146014236 7158564358 9005524913 9110900092 14317128716 18011049826 25054975253 32864318189 36022099652 50109950506 65728636378 100219901012 131457272756 230050227323 361507500079 460100454646 723015000158 920200909292 1446030000316 2530552500553 5061105001106 10122210002212