Search a number
-
+
10222100020212 = 2234399719869881
BaseRepresentation
bin1001010011000000010010…
…1000111111101111110100
31100012020000201121021201220
42110300010220333233310
52314434330101121322
633423545023150340
72103344111355153
oct224600450775764
940166021537656
1010222100020212
113291193a76533
1211911407453b0
13591c2ac49422
14274a7638959a
1512ad786a155c
hex94c04a3fbf4

10222100020212 has 48 divisors (see below), whose sum is σ = 24430735234752. Its totient is φ = 3324787280640.

The previous prime is 10222100020211. The next prime is 10222100020217. The reversal of 10222100020212 is 21202000122201.

10222100020212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10222100020191 and 10222100020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222100020211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9420489 + ... + 10449392.

It is an arithmetic number, because the mean of its divisors is an integer number (508973650724).

Almost surely, 210222100020212 is an apocalyptic number.

10222100020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222100020212 is an abundant number, since it is smaller than the sum of its proper divisors (14208635214540).

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

10222100020212 is a wasteful number, since it uses less digits than its factorization.

10222100020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19870928 (or 19870926 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222100020212 its reverse (21202000122201), we get a palindrome (31424100142413).

The spelling of 10222100020212 in words is "ten trillion, two hundred twenty-two billion, one hundred million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 997 1994 2991 3988 5982 11964 42871 85742 128613 171484 257226 514452 19869881 39739762 59609643 79479524 119219286 238438572 854404883 1708809766 2563214649 3417619532 5126429298 10252858596 19810271357 39620542714 59430814071 79241085428 118861628142 237723256284 851841668351 1703683336702 2555525005053 3407366673404 5111050010106 10222100020212