Search a number
-
+
10220100112002 = 2311374185135181
BaseRepresentation
bin1001010010111000110101…
…1011111100111010000010
31100012000212100102102102110
42110232031123330322002
52314421231112041002
633423014342200150
72103243415415034
oct224561533747202
940160770372373
1010220100112002
113290358091930
121190882a23056
1359199c804aa1
14274926915c54
1512acacd0ae6c
hex94b8d6fce82

10220100112002 has 32 divisors (see below), whose sum is σ = 22901059715904. Its totient is φ = 3013297329600.

The previous prime is 10220100111971. The next prime is 10220100112021. The reversal of 10220100112002 is 20021100102201.

It is a super-3 number, since 3×102201001120023 (a number of 40 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2092565149 + ... + 2092570032.

It is an arithmetic number, because the mean of its divisors is an integer number (715658116122).

Almost surely, 210220100112002 is an apocalyptic number.

10220100112002 is an abundant number, since it is smaller than the sum of its proper divisors (12680959603902).

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

10220100112002 is a wasteful number, since it uses less digits than its factorization.

10220100112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185135234.

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

Adding to 10220100112002 its reverse (20021100102201), we get a palindrome (30241200214203).

The spelling of 10220100112002 in words is "ten trillion, two hundred twenty billion, one hundred million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 4185135181 8370270362 12555405543 25110811086 46036486991 92072973982 138109460973 154850001697 276218921946 309700003394 464550005091 929100010182 1703350018667 3406700037334 5110050056001 10220100112002