Search a number
-
+
10222211011020 = 22351710021775501
BaseRepresentation
bin1001010011000000101101…
…0000011001000111001100
31100012020022110110012111120
42110300023100121013030
52314440042004323040
633424004030120540
72103346626644421
oct224601320310714
940166273405446
1010222211011020
113291240694578
121191171950150
13591c47c3a768
14274a86ddbd48
1512ad832c77d0
hex94c0b4191cc

10222211011020 has 48 divisors (see below), whose sum is σ = 30305849118048. Its totient is φ = 2565574528000.

The previous prime is 10222211010917. The next prime is 10222211011039. The reversal of 10222211011020 is 2011011222201.

It is a super-2 number, since 2×102222110110202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5010886731 + ... + 5010888770.

It is an arithmetic number, because the mean of its divisors is an integer number (631371856626).

Almost surely, 210222211011020 is an apocalyptic number.

10222211011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222211011020 is an abundant number, since it is smaller than the sum of its proper divisors (20083638107028).

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

10222211011020 is a wasteful number, since it uses less digits than its factorization.

10222211011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021775530 (or 10021775528 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10222211011020 its reverse (2011011222201), we get a palindrome (12233222233221).

The spelling of 10222211011020 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 10021775501 20043551002 30065326503 40087102004 50108877505 60130653006 100217755010 120261306012 150326632515 170370183517 200435510020 300653265030 340740367034 511110550551 601306530060 681480734068 851850917585 1022221101102 1703701835170 2044442202204 2555552752755 3407403670340 5111105505510 10222211011020