Search a number
-
+
102220021112 = 231123127547727
BaseRepresentation
bin101111100110011001…
…0011011110101111000
3100202211220000002200212
41133030302123311320
53133321311133422
6114543105450252
710246051562156
oct1371462336570
9322756002625
10102220021112
113a39559a8a0
1217989340988
139840730cc1
144d39c303d6
1529d40ad9e2
hex17ccc9bd78

102220021112 has 128 divisors (see below), whose sum is σ = 220600074240. Its totient is φ = 43952388480.

The previous prime is 102220021069. The next prime is 102220021139. The reversal of 102220021112 is 211120022201.

It is a super-2 number, since 2×1022200211122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140604893 + ... + 140605619.

It is an arithmetic number, because the mean of its divisors is an integer number (1723438080).

Almost surely, 2102220021112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110300037120).

102220021112 is an abundant number, since it is smaller than the sum of its proper divisors (118380053128).

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

102220021112 is a wasteful number, since it uses less digits than its factorization.

102220021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1437 counting only the distinct ones).

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

Adding to 102220021112 its reverse (211120022201), we get a palindrome (313340043313).

The spelling of 102220021112 in words is "one hundred two billion, two hundred twenty million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 127 184 253 254 506 508 547 727 1012 1016 1094 1397 1454 2024 2188 2794 2908 2921 4376 5588 5816 5842 6017 7997 11176 11684 12034 12581 15994 16721 23368 24068 25162 31988 32131 33442 48136 50324 63976 64262 66884 69469 92329 100648 128524 133768 138391 138938 183931 184658 257048 276782 277876 367862 369316 397669 553564 555752 735724 738632 764159 795338 1015619 1107128 1471448 1528318 1590676 1597787 2031238 2123567 3056636 3181352 3195574 4062476 4247134 4374359 6113272 6391148 8124952 8494268 8748718 9146387 12782296 16988536 17497436 17575657 18292774 23359237 34994872 35151314 36585548 46718474 50503963 70302628 73171096 93436948 100610257 101007926 140605256 186873896 201220514 202015852 402441028 404031704 555543593 804882056 1111087186 1161591149 2222174372 2323182298 4444348744 4646364596 9292729192 12777502639 25555005278 51110010556 102220021112