Search a number
-
+
102210022112 = 25111915282599
BaseRepresentation
bin101111100110000110…
…0010010101011100000
3100202211012012002122112
41133030030102223200
53133311231201422
6114542111254452
710245600565442
oct1371414225340
9322735162575
10102210022112
113a38a990460
1217985b1a428
13983b63ca33
144d3878a492
1529d3285ee2
hex17cc312ae0

102210022112 has 48 divisors (see below), whose sum is σ = 231072912000. Its totient is φ = 44013882240.

The previous prime is 102210022081. The next prime is 102210022121. The reversal of 102210022112 is 211220012201.

It is a super-3 number, since 3×1022100221123 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7634612 + ... + 7647987.

It is an arithmetic number, because the mean of its divisors is an integer number (4814019000).

Almost surely, 2102210022112 is an apocalyptic number.

It is an amenable number.

102210022112 is an abundant number, since it is smaller than the sum of its proper divisors (128862889888).

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

102210022112 is a wasteful number, since it uses less digits than its factorization.

102210022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15282639 (or 15282631 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102210022112 its reverse (211220012201), we get a palindrome (313430034313).

The spelling of 102210022112 in words is "one hundred two billion, two hundred ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 15282599 30565198 61130396 122260792 168108589 244521584 290369381 336217178 489043168 580738762 672434356 1161477524 1344868712 2322955048 2689737424 3194063191 4645910096 5379474848 6388126382 9291820192 12776252764 25552505528 51105011056 102210022112