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10220102211012 = 22323371277880263
BaseRepresentation
bin1001010010111000110110…
…0011111101010111000100
31100012000212111101001201120
42110232031203331113010
52314421232131223022
633423014455153540
72103243442306431
oct224561543752704
940160774331646
1010220102211012
113290359295951
1211908836758b0
135919a008b2c5
14274926d00b88
1512acad0c2d5c
hex94b8d8fd5c4

10220102211012 has 96 divisors (see below), whose sum is σ = 25757493952512. Its totient is φ = 3145548422016.

The previous prime is 10220102211001. The next prime is 10220102211031. The reversal of 10220102211012 is 21011220102201.

It is a junction number, because it is equal to n+sod(n) for n = 10220102210982 and 10220102211000.

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 31 ways as a sum of consecutive naturals, for example, 2643208 + ... + 5237055.

It is an arithmetic number, because the mean of its divisors is an integer number (268307228672).

Almost surely, 210220102211012 is an apocalyptic number.

10220102211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220102211012 is an abundant number, since it is smaller than the sum of its proper divisors (15537391741500).

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

10220102211012 is a wasteful number, since it uses less digits than its factorization.

10220102211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880457 (or 7880455 counting only the distinct ones).

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

Adding to 10220102211012 its reverse (21011220102201), we get a palindrome (31231322313213).

The spelling of 10220102211012 in words is "ten trillion, two hundred twenty billion, one hundred two million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 127 138 148 222 254 276 381 444 508 762 851 1524 1702 2553 2921 3404 4699 5106 5842 8763 9398 10212 11684 14097 17526 18796 28194 35052 56388 108077 216154 324231 432308 648462 1296924 7880263 15760526 23640789 31521052 47281578 94563156 181246049 291569731 362492098 543738147 583139462 724984196 874709193 1000793401 1087476294 1166278924 1749418386 2001586802 2174952588 3002380203 3498836772 4003173604 6004760406 6706103813 12009520812 13412207626 20118311439 23018248223 26824415252 37029355837 40236622878 46036496446 69054744669 74058711674 80473245756 92072992892 111088067511 138109489338 148117423348 222176135022 276218978676 444352270044 851675184251 1703350368502 2555025552753 3406700737004 5110051105506 10220102211012