Search a number
-
+
10010122122 = 23711213151517
BaseRepresentation
bin10010101001010011…
…00101011110001010
3221211121210220001210
421110221211132022
5131000042401442
64333143353550
7503026430340
oct112451453612
927747726053
1010010122122
1142774a8a00
121b344528b6
13c36b227b0
146ad639990
153d8c0c19c
hex254a6578a

10010122122 has 96 divisors (see below), whose sum is σ = 27084145536. Its totient is φ = 2400013440.

The previous prime is 10010122099. The next prime is 10010122151. The reversal of 10010122122 is 22122101001.

It is a junction number, because it is equal to n+sod(n) for n = 10010122098 and 10010122107.

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, 9693 + ... + 141824.

It is an arithmetic number, because the mean of its divisors is an integer number (282126516).

Almost surely, 210010122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542072768).

10010122122 is an abundant number, since it is smaller than the sum of its proper divisors (17074023414).

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

10010122122 is a wasteful number, since it uses less digits than its factorization.

10010122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151564 (or 151553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010122122 its reverse (22122101001), we get a palindrome (32132223123).

The spelling of 10010122122 in words is "ten billion, ten million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 4719 5082 6006 9438 11011 22022 33033 66066 151517 303034 454551 909102 1060619 1666687 1969721 2121238 3181857 3333374 3939442 5000061 5909163 6363714 10000122 11666809 11818326 13788047 18333557 21666931 23333618 27576094 35000427 36667114 41364141 43333862 55000671 65000793 70000854 82728282 110001342 128334899 130001586 151668517 238336241 256669798 303337034 385004697 455005551 476672482 715008723 770009394 910011102 1430017446 1668353687 3336707374 5005061061 10010122122