Search a number
-
+
102220221012 = 223713372529953
BaseRepresentation
bin101111100110011001…
…1001100101001010100
3100202211220101020220120
41133030303030221110
53133321334033022
6114543114031540
710246053354030
oct1371463145124
9322756336816
10102220221012
113a395716aa8
12179894185b0
1398407a0ca0
144d39c831c0
1529d40ecd5c
hex17ccccca54

102220221012 has 96 divisors (see below), whose sum is σ = 301489558272. Its totient is φ = 26230542336.

The previous prime is 102220221011. The next prime is 102220221109. The reversal of 102220221012 is 210122022201.

It is a junction number, because it is equal to n+sod(n) for n = 102220220982 and 102220221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224573 + ... + 1305380.

It is an arithmetic number, because the mean of its divisors is an integer number (3140516232).

Almost surely, 2102220221012 is an apocalyptic number.

102220221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102220221012 is an abundant number, since it is smaller than the sum of its proper divisors (199269337260).

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

102220221012 is a wasteful number, since it uses less digits than its factorization.

102220221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530017 (or 2530015 counting only the distinct ones).

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

Adding to 102220221012 its reverse (210122022201), we get a palindrome (312342243213).

The spelling of 102220221012 in words is "one hundred two billion, two hundred twenty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1443 1554 1924 2886 3108 3367 5772 6734 10101 13468 20202 40404 2529953 5059906 7589859 10119812 15179718 17709671 30359436 32889389 35419342 53129013 65778778 70838684 93608261 98668167 106258026 131557556 187216522 197336334 212516052 230225723 280824783 374433044 394672668 460451446 561649566 655257827 690677169 920902892 1123299132 1216907393 1310515654 1381354338 1965773481 2433814786 2621031308 2762708676 3650722179 3931546962 4867629572 7301444358 7863093924 8518351751 14602888716 17036703502 25555055253 34073407004 51110110506 102220221012