Search a number
-
+
101023222200 = 23352389432833
BaseRepresentation
bin101111000010101110…
…1000000100110111000
3100122202111000102020020
41132011131000212320
53123343421102300
6114224234130440
710204310135415
oct1360535004670
9318674012206
10101023222200
1139930a8008a
12176b4580a20
1396ac7ba874
144c64cd510c
152963ea68a0
hex17857409b8

101023222200 has 96 divisors (see below), whose sum is σ = 313977783600. Its totient is φ = 26870210560.

The previous prime is 101023222199. The next prime is 101023222231. The reversal of 101023222200 is 2222320101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101023222200.

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 23 ways as a sum of consecutive naturals, for example, 16984 + ... + 449816.

Almost surely, 2101023222200 is an apocalyptic number.

101023222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101023222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156988891800).

101023222200 is an abundant number, since it is smaller than the sum of its proper divisors (212954561400).

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

101023222200 is a wasteful number, since it uses less digits than its factorization.

101023222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433241 (or 433232 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 101023222200 its reverse (2222320101), we get a palindrome (103245542301).

The spelling of 101023222200 in words is "one hundred one billion, twenty-three million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 389 600 778 1167 1556 1945 2334 3112 3890 4668 5835 7780 9336 9725 11670 15560 19450 23340 29175 38900 46680 58350 77800 116700 233400 432833 865666 1298499 1731332 2164165 2596998 3462664 4328330 5193996 6492495 8656660 10387992 10820825 12984990 17313320 21641650 25969980 32462475 43283300 51939960 64924950 86566600 129849900 168372037 259699800 336744074 505116111 673488148 841860185 1010232222 1346976296 1683720370 2020464444 2525580555 3367440740 4040928888 4209300925 5051161110 6734881480 8418601850 10102322220 12627902775 16837203700 20204644440 25255805550 33674407400 50511611100 101023222200