Search a number
-
+
10210122210222 = 23211321831602283
BaseRepresentation
bin1001010010010011101010…
…1101010001101110101110
31100011002002222020111100200
42110210322231101232232
52314240312241211342
633414244305134330
72102441226561264
oct224447255215656
940132088214320
1010210122210222
1132870a78a0610
12118a95932a3a6
13590a6c583aac
1427425b6a6434
1512a8c6d6594c
hex9493ab51bae

10210122210222 has 48 divisors (see below), whose sum is σ = 24133781063808. Its totient is φ = 3093878359440.

The previous prime is 10210122210199. The next prime is 10210122210257. The reversal of 10210122210222 is 22201222101201.

It is a happy number.

10210122210222 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 22 + 210 + 222 = 666.

It is a super-2 number, since 2×102101222102222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10210122210195 and 10210122210204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5571093 + ... + 7173375.

It is an arithmetic number, because the mean of its divisors is an integer number (502787105496).

Almost surely, 210210122210222 is an apocalyptic number.

10210122210222 is an abundant number, since it is smaller than the sum of its proper divisors (13923658853586).

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

10210122210222 is a wasteful number, since it uses less digits than its factorization.

10210122210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634485 (or 1634482 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10210122210222 its reverse (22201222101201), we get a palindrome (32411344311423).

The spelling of 10210122210222 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 32183 64366 96549 193098 289647 354013 579294 708026 1062039 1602283 2124078 3186117 3204566 4806849 6372234 9613698 14420547 17625113 28841094 35250226 52875339 105750678 158626017 317252034 51566273789 103132547578 154698821367 309397642734 464096464101 567229011679 928192928202 1134458023358 1701687035037 3403374070074 5105061105111 10210122210222