Search a number
-
+
101331110022212 = 22722292257622093
BaseRepresentation
bin10111000010100011111100…
…110100010100110001000100
3111021210011022021122212002202
4113002203330310110301010
5101240202103131202322
6555302511434054032
730225634240510100
oct2702437464246104
9437704267585082
10101331110022212
112a318311a02524
12b44679387a318
134470637584b45
141b04647dd2900
15baacc49d4292
hex5c28fcd14c44

101331110022212 has 36 divisors (see below), whose sum is σ = 207181979566380. Its totient is φ = 43237978305984.

The previous prime is 101331110022161. The next prime is 101331110022239. The reversal of 101331110022212 is 212220011133101.

It can be written as a sum of positive squares in 2 ways, for example, as 41723538309376 + 59607571712836 = 6459376^2 + 7720594^2 .

It is a super-2 number, since 2×1013311100222122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1128766163 + ... + 1128855930.

It is an arithmetic number, because the mean of its divisors is an integer number (5755054987955).

Almost surely, 2101331110022212 is an apocalyptic number.

It is an amenable number.

101331110022212 is an abundant number, since it is smaller than the sum of its proper divisors (105850869544168).

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

101331110022212 is a wasteful number, since it uses less digits than its factorization.

101331110022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257622340 (or 2257622331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101331110022212 its reverse (212220011133101), we get a palindrome (313551121155313).

The spelling of 101331110022212 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred ten million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 229 458 916 1603 3206 6412 11221 22442 44884 2257622093 4515244186 9030488372 15803354651 31606709302 63213418604 110623482557 221246965114 442493930228 516995459297 1033990918594 2067981837188 3618968215079 7237936430158 14475872860316 25332777505553 50665555011106 101331110022212