Search a number
-
+
101022121212 = 22319795608601
BaseRepresentation
bin101111000010101100…
…0110011110011111100
3100122202101221110221220
41132011120303303330
53123343130334322
6114224154353340
710204264601505
oct1360530636374
9318671843856
10101022121212
1139930398981
12176b412b850
1396ac4c36ac
144c64ac9bac
152963d3a55c
hex1785633cfc

101022121212 has 48 divisors (see below), whose sum is σ = 251265369600. Its totient is φ = 31497897600.

The previous prime is 101022121201. The next prime is 101022121219. The reversal of 101022121212 is 212121220101.

It is a super-3 number, since 3×1010221212123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022121191 and 101022121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022121219) 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, 2786289 + ... + 2822312.

It is an arithmetic number, because the mean of its divisors is an integer number (5234695200).

Almost surely, 2101022121212 is an apocalyptic number.

101022121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022121212 is an abundant number, since it is smaller than the sum of its proper divisors (150243248388).

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

101022121212 is a wasteful number, since it uses less digits than its factorization.

101022121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608706 (or 5608704 counting only the distinct ones).

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

Adding to 101022121212 its reverse (212121220101), we get a palindrome (313143341313).

The spelling of 101022121212 in words is "one hundred one billion, twenty-two million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 158 228 237 316 474 948 1501 3002 4503 6004 9006 18012 5608601 11217202 16825803 22434404 33651606 67303212 106563419 213126838 319690257 426253676 443079479 639380514 886158958 1278761028 1329238437 1772317916 2658476874 5316953748 8418510101 16837020202 25255530303 33674040404 50511060606 101022121212